WaterSteamPro
Common functions which is recommended to use.
Surface tension [N/m] as function of: temperature t [K]:
wspSURFTENT (t)
Based upon the IAPWS Release on The Surface Tension of Ordinary Water Substance 1995.
wspVUSHCVWDERPTPT (p, t, *V, *U, *S, *H, *CV, *W, *DVDPt, *DUDPt, *DSDPt, *DHDPt, *DVDTp, *DUDTp, *DSDTp, *DHDTp)
This is common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA2 is used for the determining of area. After that the necessary function (wspVUSHDERPTxPT) is used. This function return the properties set, so it is significally increase calculation speed. In Mathcad this function depends upon only two arguments p and t, and return array of results in SI units system.
Specific volume [m3/kg] as function of: pressure p [Pa], temperature t [K]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA2 is used for the determining of area. After that the necessary function (wspVxPT) is used.
Specific internal energy [J/kg] as function of: pressure p [Pa], temperature t [K]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA2 is used for the determining of area. After that the necessary function (wspUxPT) is used.
Specific entropy [J/(kg·K)] as function of: pressure p [Pa], temperature t [K]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA2 is used for the determining of area. After that the necessary function (wspSxPT) is used.
Specific enthalpy [J/kg] as function of: pressure p [Pa], temperature t [K]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA2 is used for the determining of area. After that the necessary function (wspHxPT) is used.
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA2 is used for the determining of area. After that the necessary function (wspCPxPT) is used.
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA2 is used for the determining of area. After that the necessary function (wspCVxPT) is used.
Sound velocity [m/sec] as function of: pressure p [Pa], temperature t [K]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA2 is used for the determining of area. After that the necessary function (wspWxPT) is used.
Thermal conduction [W/(m·K)] as function of: pressure p [Pa], temperature t [K]:
wspTHERMCONDPT (p, t)
This is the common function. The arguments lies in all IF-97 parameters range. For calculation used the function wspTHERMCONDRT with density from the common function wspVPT.
Dynamic viscosity [Pa·sec] as function of: pressure p [Pa], temperature t [K]:
wspDYNVISPT (p, t)
This is the common function. The arguments lies in all IF-97 parameters range. For calculation used the function wspDYNVISRT with density from the common function wspVPT.
Prandtl number as function of: pressure p [Pa], temperature t [K]:
wspPRANDTLEPT (p, t)
This is the common function. The arguments lies in all IF-97 parameters range. For calculation used the formula: Pr = DYNVIS · CP / THERMCOND, where DYNVIS calculated via the function wspDYNVISPT, CP - via wspCPPT and THERMCOND - via wspTHERMCONDPT.
Kinematic viscosity [m2/sec] as function of: pressure p [Pa], temperature t [K]:
wspKINVISPT (p, t)
This is the common function. The arguments lies in all IF-97 parameters range. For calculation used the formula: KINVIS = DYNVIS · V, where DYNVIS calculated via the function wspDYNVISPT and V - via wspVPT.
Isoentropic exponent as function of: pressure p [Pa], temperature t [K]:
This is the common function. The arguments lies in all IF-97 parameters range. For calculation used the formula: K = W · W / (P · V), where W (sound velocity) calculated via the function wspWPT, P - pressure and V (specific volume) - via wspVPT.
Joule-Thompson coefficient [K/Pa] as function of: pressure p [Pa], temperature t [K]:
wspJOULETHOMPSONPT (p, t)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA2 is used for the determining of area. After that the necessary function (wspJOULETHOMPSONxPT) is used.
Specific volume [m3/kg] as function of: pressure p [Pa], temperature t [K], degree of dryness x []:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA is used for the determining of area. After that the necessary function (wspVxPT or wspVSTX) is used. If the area is not the double-phase area than the degree of dryness is ignored.
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA is used for the determining of area. After that the necessary function (wspUxPT or wspUSTX) is used. If the area is not the double-phase area than the degree of dryness is ignored.
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA is used for the determining of area. After that the necessary function (wspSxPT or wspSSTX) is used. If the area is not the double-phase area than the degree of dryness is ignored.
Specific enthalpy [J/kg] as function of: pressure p [Pa], temperature t [K], degree of dryness x []:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA is used for the determining of area. After that the necessary function (wspHxPT or wspHSTX) is used. If the area is not the double-phase area than the degree of dryness is ignored.
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA is used for the determining of area. After that the necessary function (wspCPxPT or wspCPSTX) is used. If the area is not the double-phase area than the degree of dryness is ignored.
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA is used for the determining of area. After that the necessary function (wspCVxPT or wspCVSTX) is used. If the area is not the double-phase area than the degree of dryness is ignored.
Sound velocity [m/sec] as function of: pressure p [Pa], temperature t [K], degree of dryness x []:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA is used for the determining of area. After that the necessary function (wspWxPT or wspWSTX) is used. If the area is not the double-phase area than the degree of dryness is ignored.
wspTHERMCONDPTX (p, t, x)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA is used for the determining of area. After that the necessary function (wspTHERMCONDPT or wspTHERMCONDSTX) is used. If the area is not the double-phase area than the degree of dryness is ignored.
wspDYNVISPTX (p, t, x)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA is used for the determining of area. After that the necessary function (wspDYNVISPT or wspDYNVISSTX) is used. If the area is not the double-phase area than the degree of dryness is ignored.
Prandtl number as function of: pressure p [Pa], temperature t [K], degree of dryness x []:
wspPRANDTLEPTX (p, t, x)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA is used for the determining of area. After that the necessary function (wspPRANDTLEPPT or wspPRANDTLEPSTX) is used. If the area is not the double-phase area than the degree of dryness is ignored.
wspKINVISPTX (p, t, x)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA is used for the determining of area. After that the necessary function (wspKINVISPT or wspKINVISSTX) is used. If the area is not the double-phase area than the degree of dryness is ignored.
Isoentropic exponent as function of: pressure p [Pa], temperature t [K], degree of dryness x []:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA is used for the determining of area. After that the necessary function (wspKPT or wspKSTX) is used. If the area is not the double-phase area than the degree of dryness is ignored.
wspJOULETHOMPSONPTX (p, t, x)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREA is used for the determining of area. After that the necessary function (wspJOULETHOMPSONPT or wspJOULETHOMPSONSTX) is used. If the area is not the double-phase area than the degree of dryness is ignored.
Temperature [K] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPH) is used.
Temperature [K] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPS) is used.
Specific internal energy [J/kg] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPH) is used. And the final step is calling the necessary function (wspUxPT or wspUSTX).
Specific volume [m3/kg] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPH) is used. And the final step is calling the necessary function (wspVxPT or wspVSTX).
Specific entropy [J/(kg·K)] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPH) is used. And the final step is calling the necessary function (wspSxPT or wspSSTX).
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPH) is used. And the final step is calling the necessary function (wspCPxPT or wspCPSTX).
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPH) is used. And the final step is calling the necessary function (wspCVxPT or wspCVSTX).
Sound velocity [m/sec] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPH) is used. And the final step is calling the necessary function (wspWxPT or wspWSTX).
Dynamic viscosity [Pa·sec] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
wspDYNVISPH (p, h)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPH) is used. And the final step is calling the necessary function (wspDYNVISPT or wspDYNVISSTX).
Kinematic viscosity [m2/sec] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
wspKINVISPH (p, h)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPH) is used. And the final step is calling the necessary function (wspKINVISPT or wspKINVISSTX).
Prandtl number as function of: pressure p [Pa], specific enthalpy h [J/kg]:
wspPRANDTLEPH (p, h)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPH) is used. And the final step is calling the necessary function (wspPRANDTLEPT or wspPRANDTLESTX).
Thermal conduction [W/(m·K)] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
wspTHERMCONDPH (p, h)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPH) is used. And the final step is calling the necessary function (wspTHERMCONDPT or wspTHERMCONDSTX).
Isoentropic exponent as function of: pressure p [Pa], specific enthalpy h [J/kg]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPH) is used. And the final step is calling the necessary function (wspKPT or wspKSTX).
Joule-Thompson coefficient [K/Pa] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
wspJOULETHOMPSONPH (p, h)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPH) is used. And the final step is calling the necessary function (wspJOULETHOMPSONPT or wspJOULETHOMPSONSTX).
Specific internal energy [J/kg] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPS is used for the determining of area. After that the necessary function (wspTxPS) is used. And the final step is calling the necessary function (wspUxPT or wspUSTX).
Specific volume [m3/kg] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPS is used for the determining of area. After that the necessary function (wspTxPS) is used. And the final step is calling the necessary function (wspVxPT or wspVSTX).
Specific enthalpy [J/kg] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPS is used for the determining of area. After that the necessary function (wspTxPS) is used. And the final step is calling the necessary function (wspHxPT or wspHSTX).
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPS is used for the determining of area. After that the necessary function (wspTxPS) is used. And the final step is calling the necessary function (wspCPxPT or wspCPSTX).
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPS is used for the determining of area. After that the necessary function (wspTxPS) is used. And the final step is calling the necessary function (wspCVxPT or wspCVSTX).
Sound velocity [m/sec] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPS is used for the determining of area. After that the necessary function (wspTxPS) is used. And the final step is calling the necessary function (wspWxPT or wspWSTX).
Dynamic viscosity [Pa·sec] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
wspDYNVISPS (p, s)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPS is used for the determining of area. After that the necessary function (wspTxPS) is used. And the final step is calling the necessary function (wspDYNVISPT or wspDYNVISSTX).
Kinematic viscosity [m2/sec] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
wspKINVISPS (p, s)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPS is used for the determining of area. After that the necessary function (wspTxPS) is used. And the final step is calling the necessary function (wspKINVISPT or wspKINVISSTX).
Prandtl number as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
wspPRANDTLEPS (p, s)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPS is used for the determining of area. After that the necessary function (wspTxPS) is used. And the final step is calling the necessary function (wspPRANDTLEPT or wspPRANDLTESTX).
Isoentropic exponent as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPS is used for the determining of area. After that the necessary function (wspTxPS) is used. And the final step is calling the necessary function (wspKPT or wspKSTX).
Thermal conduction [W/(m·K)] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
wspTHERMCONDPS (p, s)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPS is used for the determining of area. After that the necessary function (wspTxPS) is used. And the final step is calling the necessary function (wspTHERMCONDPT or wspTHERMCONDSTX).
Joule-Thompson coefficient [K/Pa] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
wspJOULETHOMPSONPS (p, s)
This is the common function. The arguments lies in all IF-97 parameters range. The function wspWATERSTATEAREAPH is used for the determining of area. After that the necessary function (wspTxPS) is used. And the final step is calling the necessary function (wspJOULETHOMPSONPT or wspJOULETHOMPSONSTX).
wspTEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspVEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspUEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspHEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspSEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspCPEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspCVEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspWEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspTHERMCONDEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspKINVISEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspDYNVISEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspPRANDTLEEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspKEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspJOULETHOMPSONEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspTEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspVEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspUEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspHEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspSEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspCPEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspCVEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspWEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspTHERMCONDEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspKINVISEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspDYNVISEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspPRANDTLEEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspKEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspJOULETHOMPSONEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff). Note: In ActiveX object "WSP.WSPCalculator" this function named as "wspJOULETHOMPSONEXPANSIONPTXPEF" due to limitation in function name length in COM.
wspXEXPANSIONPTXPEFF (p0, t0, x0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, x0 to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
wspXEXPANSIONPTPEFF (p0, t0, p1, eff)
This is the common function. Function return the value in the end of the expansion process from the initial point with arguments p0, t0, to pressure p1 with efficiency eff. Process calculate with next formula: h1 = h0 - eff * (h0 - h1isoent), where h0 - specific enthalpy in initial point, h1 - specific enthalpy in final point of the expansion, eff - efficiency, h1isoentr - specific enthalpy in final point with isoentropic expansion (s = Const). For the calculating the process of compression you must to use instead the efficiency eff the inverse number (i.e. 1/eff).
WaterSteamPro (MetaStable)
Functions for calculating properties of meta-stable supercooled steam
This function calculate the properties of super-cooled steam (in meta-stable area). The parameters range lie below pressure 10 MPa and degree of dryness above 95%. For calculating used the special formulation for calculating meta-stable area based upon IAPWS IF-97.
This function calculate the properties of super-cooled steam (in meta-stable area). The parameters range lie below pressure 10 MPa and degree of dryness above 95%. For calculating used the special formulation for calculating meta-stable area based upon IAPWS IF-97.
This function calculate the properties of super-cooled steam (in meta-stable area). The parameters range lie below pressure 10 MPa and degree of dryness above 95%. For calculating used the special formulation for calculating meta-stable area based upon IAPWS IF-97.
This function calculate the properties of super-cooled steam (in meta-stable area). The parameters range lie below pressure 10 MPa and degree of dryness above 95%. For calculating used the special formulation for calculating meta-stable area based upon IAPWS IF-97.
This function calculate the properties of super-cooled steam (in meta-stable area). The parameters range lie below pressure 10 MPa and degree of dryness above 95%. For calculating used the special formulation for calculating meta-stable area based upon IAPWS IF-97.
This function calculate the properties of super-cooled steam (in meta-stable area). The parameters range lie below pressure 10 MPa and degree of dryness above 95%. For calculating used the special formulation for calculating meta-stable area based upon IAPWS IF-97.
This function calculate the properties of super-cooled steam (in meta-stable area). The parameters range lie below pressure 10 MPa and degree of dryness above 95%. For calculating used the special formulation for calculating meta-stable area based upon IAPWS IF-97.
wspTHERMCONDMSPT (p, t)
This function calculate the properties of super-cooled steam (in meta-stable area). The parameters range lie below pressure 10 MPa and degree of dryness above 95%. For calculating used the special formulation for calculating meta-stable area based upon IAPWS IF-97.
wspDYNVISMSPT (p, t)
This function calculate the properties of super-cooled steam (in meta-stable area). The parameters range lie below pressure 10 MPa and degree of dryness above 95%. For calculating used the special formulation for calculating meta-stable area based upon IAPWS IF-97.
Prandtl number of meta-stable supercooled steam as function of: pressure p [Pa], temperature t [K]:
wspPRANDTLEMSPT (p, t)
This function calculate the properties of super-cooled steam (in meta-stable area). The parameters range lie below pressure 10 MPa and degree of dryness above 95%. For calculating used the special formulation for calculating meta-stable area based upon IAPWS IF-97.
wspKINVISMSPT (p, t)
This function calculate the properties of super-cooled steam (in meta-stable area). The parameters range lie below pressure 10 MPa and degree of dryness above 95%. For calculating used the special formulation for calculating meta-stable area based upon IAPWS IF-97.
This function calculate the properties of super-cooled steam (in meta-stable area). The parameters range lie below pressure 10 MPa and degree of dryness above 95%. For calculating used the special formulation for calculating meta-stable area based upon IAPWS IF-97.
This function calculate the properties of super-cooled steam (in meta-stable area). The parameters range lie below pressure 10 MPa and degree of dryness above 95%. For calculating used the special formulation for calculating meta-stable area based upon IAPWS IF-97.
WaterSteamPro (Source)
Functions from IAPWS IF-97 and other formulations.
Pressure at line between areas 2 and 3 [Pa] as function of: temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam. Used in function wspWATERSTATEAREA when area is determined.
Temperature at line between areas 2 and 3 [K] as function of: pressure p [Pa]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam. Used in function wspWATERSTATEAREA when area is determined.
Water state area as function of: pressure p [Pa], temperature t [K]:
wspWATERSTATEAREA (p, t)
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam areas allocation for determining area. Used in common functions.
Note: Function result have type "long".
Water state area (version 2) as function of: pressure p [Pa], temperature t [K]:
wspWATERSTATEAREA2 (p, t)
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam areas allocation for determining area (version 2 - without area 4 - saturation line). Used in common functions.
Note: Function result have type "long".
Thermal conduction [W/(m·K)] as function of: density r [kg/m3], temperature t [K]:
wspTHERMCONDRT (r, t)
Based upon the IAPWS Formulation 1985 for thermal Conductivity with ITS-90 (International Temperature Scale) correction.
Dynamic viscosity [Pa·sec] as function of: density r [kg/m3], temperature t [K]:
wspDYNVISRT (r, t)
Based upon the IAPWS Formulation 1985 for the Viscosity of Ordinary Water Substance with ITS-90 (International Temperature Scale) correction.
Specific volume in area 1 [m3/kg] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Specific internal energy in area 1 [J/kg] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Specific entropy in area 1 [J/(kg·K)] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Specific enthalpy in area 1 [J/kg] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Sound velocity in area 1 [m/sec] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Joule-Thompson coefficient in area 1 [K/Pa] as function of: pressure p [Pa], temperature t [K]:
Function use the formula: JT = (T*dV/dT - V)/Cp, where T - temperature, dV/dT - differential quotient (dV/dT)p, V - volume, Cp - isobaric heat capacity (Cp).
wspVUSHCVWDERPT1PT (p, t, *V, *U, *S, *H, *CV, *W, *DVDPt, *DUDPt, *DSDPt, *DHDPt, *DVDTp, *DUDTp, *DSDTp, *DHDTp)
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam. This function return the properties set, so it is significally increase calculation speed. In Mathcad this function depends upon only two arguments p and t, and return array of results in SI units system.
Specific volume in area 2 [m3/kg] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Specific internal energy in area 2 [J/kg] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Specific entropy in area 2 [J/(kg·K)] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Specific enthalpy in area 2 [J/kg] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Sound velocity in area 2 [m/sec] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Joule-Thompson coefficient in area 2 [K/Pa] as function of: pressure p [Pa], temperature t [K]:
Function use the formula: JT = (T*dV/dT - V)/Cp, where T - temperature, dV/dT - differential quotient (dV/dT)p, V - volume, Cp - isobaric heat capacity (Cp).
wspVUSHCVWDERPT2PT (p, t, *V, *U, *S, *H, *CV, *W, *DVDPt, *DUDPt, *DSDPt, *DHDPt, *DVDTp, *DUDTp, *DSDTp, *DHDTp)
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam. This function return the properties set, so it is significally increase calculation speed. In Mathcad this function depends upon only two arguments p and t, and return array of results in SI units system.
Pressure in area 3 [Pa] as function of: density r [kg/m3], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Use Newton method with initial value to determine the density from p and t. Used for unification of calculation properties in all IF-97 areas.
Density in area 3 [kg/m3] as function of: pressure p [Pa], temperature t [K]:
Calculate the density in area 3 with function wspR3PTR0 with the corresponding initial values for water and steam. Used for unification of calculation properties in all IF-97 areas.
Specific internal energy in area 3 [J/kg] as function of: density r [kg/m3], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Specific entropy in area 3 [J/(kg·K)] as function of: density r [kg/m3], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Specific enthalpy in area 3 [J/kg] as function of: density r [kg/m3], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Sound velocity in area 3 [m/sec] as function of: density r [kg/m3], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
wspVUSHCVWDERPT3RT (r, t, *V, *U, *S, *H, *CV, *W, *DVDPt, *DUDPt, *DSDPt, *DHDPt, *DVDTp, *DUDTp, *DSDTp, *DHDTp)
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam. This function return the properties set, so it is significally increase calculation speed. In Mathcad this function depends upon only two arguments p and t, and return array of results in SI units system.
Specific volume in area 3 [m3/kg] as function of: pressure p [Pa], temperature t [K]:
Based upon function wspR3PT.
Specific internal energy in area 3 [J/kg] as function of: pressure p [Pa], temperature t [K]:
Based upon functions wspR3PT and wspU3RT.
Specific entropy in area 3 [J/(kg·K)] as function of: pressure p [Pa], temperature t [K]:
Based upon functions wspR3PT and wspS3RT.
Specific enthalpy in area 3 [J/kg] as function of: pressure p [Pa], temperature t [K]:
Based upon functions wspR3PT and wspH3RT.
Based upon functions wspR3PT and wspCP3RT.
Based upon functions wspR3PT and wspCV3RT.
Sound velocity in area 3 [m/sec] as function of: pressure p [Pa], temperature t [K]:
Based upon functions wspR3PT and wspW3RT.
Joule-Thompson coefficient in area 3 [K/Pa] as function of: density r [kg/m3], temperature t [K]:
Calculate the Joule-Thompson coefficient for area 3 of IF-97 Formulation.
Joule-Thompson coefficient in area 3 [K/Pa] as function of: pressure p [Pa], temperature t [K]:
Calculate the Joule-Thompson coefficient for area 3 of IF-97 Formulation. This function use for the first function wspR3PT(p, t) for calculating density and after return the value from the function wspJOULETHOMPSON3RT(r, t).
wspVUSHCVWDERPT3PT (p, t, *V, *U, *S, *H, *CV, *W, *DVDPt, *DUDPt, *DSDPt, *DHDPt, *DVDTp, *DUDTp, *DSDTp, *DHDTp)
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam. This function return the properties set, so it is significally increase calculation speed. In Mathcad this function depends upon only two arguments p and t, and return array of results in SI units system.
Specific volume in area 5 [m3/kg] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Specific internal energy in area 5 [J/kg] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Specific entropy in area 5 [J/(kg·K)] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Specific enthalpy in area 5 [J/kg] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Sound velocity in area 5 [m/sec] as function of: pressure p [Pa], temperature t [K]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
wspVUSHCVWDERPT5PT (p, t, *V, *U, *S, *H, *CV, *W, *DVDPt, *DUDPt, *DSDPt, *DHDPt, *DVDTp, *DUDTp, *DSDTp, *DHDTp)
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam. This function return the properties set, so it is significally increase calculation speed. In Mathcad this function depends upon only two arguments p and t, and return array of results in SI units system.
Joule-Thompson coefficient in area 5 [K/Pa] as function of: pressure p [Pa], temperature t [K]:
Function use the formula: JT = (T*dV/dT - V)/Cp, where T - temperature, dV/dT - differential quotient (dV/dT)p, V - volume, Cp - isobaric heat capacity (Cp).
Temperature in area 1 [K] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
Based upon the Additional Formulations for the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Temperature in area 1 [K] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
Based upon the Additional Formulations for the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Temperature in area 2a [K] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
Based upon the Additional Formulations for the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Temperature in area 2a [K] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
Based upon the Additional Formulations for the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Temperature in area 2b [K] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
Based upon the Additional Formulations for the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Temperature in area 2b [K] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
Based upon the Additional Formulations for the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Temperature in area 2c [K] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
Based upon the Additional Formulations for the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Temperature in area 2c [K] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
Based upon the Additional Formulations for the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Temperature in area 2 [K] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
Based upon functions wspT2APH, wspT2BPH and wspT2CPH.
Temperature in area 2 [K] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
Based upon functions wspT2APS, wspT2BPS and wspT2CPS.
Temperature in area 3 [K] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam. The function use the Newton method for determine the root of function with two arguments.
Temperature in area 3 [K] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam. The function use the Newton method for determine the root of function with two arguments.
Temperature in area 5 [K] as function of: pressure p [Pa], specific enthalpy h [J/kg]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam. The function use the Newton method for determine the root of function with two arguments.
Temperature in area 5 [K] as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
Based upon the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam. The function use the Newton method for determine the root of function with two arguments.
Pressure at line between areas 2b and 2c [Pa] as function of: specific enthalpy h [J/kg]:
Based upon the Additional Formulation for the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Specific enthalpy at line between areas 2b and 2c [J/kg] as function of: pressure p [Pa]:
Based upon the Additional Formulation for the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam.
Water State Area as function of: pressure p [Pa], specific enthalpy h [J/kg]:
Based upon the Additional Formulation for the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam areas allocation for determining area. Used in common functions.
Note: Function result have type "long".
Water State Area as function of: pressure p [Pa], specific entropy s [J/(kg·K)]:
Based upon the Additional Formulation for the IAPWS Industrial Formulation 1997 for thermodynamic Properties of Water and Steam areas allocation for determining area. Used in common functions.
Note: Function result have type "long".
WaterSteamPro (Saturation Line)
Functions of properties at saturation line.
Pressure at saturation line [Pa] as function of: temperature t [K]:
Based upon the Supplementary Release on Saturation Properties of Ordinary Water Substance from IAPWS.
Derivative of saturation pressure on saturation temperature [Pa/K] as function of: temperature t [K]:
Functions is based upon "Supplementary Release on Saturation Properties of Ordinary Water Substance" from International Association for the Properties of Water and Steam.
Temperature at saturation line [K] as function of: pressure p [Pa]:
Based upon the Supplementary Release on Saturation Properties of Ordinary Water Substance from IAPWS.
Specific volume of steam at saturation line [m3/kg] as function of: temperature t [K]:
Specific volume of water at saturation line [m3/kg] as function of: temperature t [K]:
Specific internal energy of steam at saturation line [J/kg] as function of: temperature t [K]:
Specific internal energy of water at saturation line [J/kg] as function of: temperature t [K]:
Specific entropy of steam at saturation line [J/(kg·K)] as function of: temperature t [K]:
Specific entropy of water at saturation line [J/(kg·K)] as function of: temperature t [K]:
Specific enthalpy of steam at saturation line [J/kg] as function of: temperature t [K]:
Specific enthalpy of water at saturation line [J/kg] as function of: temperature t [K]:
wspCVDPSST (t)
Function return the sum of specific isochoric heat capacity of steam from one-phase region (function wspCVSST) and additiona increment, the last calculated with corresponding thermodynamic formulas.
wspCVDPSWT (t)
Function return the sum of specific isochoric heat capacity of water from one-phase region (function wspCVSWT) and additiona increment, the last calculated with corresponding thermodynamic formulas.
Sound velocity in steam at saturation line [m/sec] as function of: temperature t [K]:
Sound velocity in water at saturation line [m/sec] as function of: temperature t [K]:
Thermal conduction of steam at saturation line [W/(m·K)] as function of: temperature t [K]:
Thermal conduction of water at saturation line [W/(m·K)] as function of: temperature t [K]:
Dynamic viscosity of steam at saturation line [Pa·sec] as function of: temperature t [K]:
Dynamic viscosity of water at saturation line [Pa·sec] as function of: temperature t [K]:
Prandtl number of steam at saturation line as function of: temperature t [K]:
Prandtl number of water at saturation line as function of: temperature t [K]:
Kinematic viscosity of steam at saturation line [m2/sec] as function of: temperature t [K]:
Kinematic viscosity of water at saturation line [m2/sec] as function of: temperature t [K]:
Isoentropic exponent of steam at saturation line as function of: temperature t [K]:
Isoentropic exponent of water at saturation line as function of: temperature t [K]:
Joule-Thompson coefficient of steam at saturation line [K/Pa] as function of: temperature t [K]:
Joule-Thompson coefficient of water at saturation line [K/Pa] as function of: temperature t [K]:
Specific evaporation heat [J/kg] as function of: temperature t [K]:
Calculate as r = (hs - hw), where hs - specific enthalpy of steam at saturation line, hw - specific enthalpy of water at saturation line.
wspVUSHCVWDERPTSWT (t, *V, *U, *S, *H, *CV, *W, *DVDPt, *DUDPt, *DSDPt, *DHDPt, *DVDTp, *DUDTp, *DSDTp, *DHDTp)
Function based upon IF-97 formulation. This function return the properties set, so it is significally increase calculation speed. In Mathcad this function depends upon only one argument t, and return array of results in SI units system.
wspVUSHCVWDERPTSST (t, *V, *U, *S, *H, *CV, *W, *DVDPt, *DUDPt, *DSDPt, *DHDPt, *DVDTp, *DUDTp, *DSDTp, *DHDTp)
Function based upon IF-97 formulation. This function return the properties set, so it is significally increase calculation speed. In Mathcad this function depends upon only one argument t, and return array of results in SI units system.
WaterSteamPro (Double phase area)
Functions of properties in double-phase area.
This function use the functions wspVSST and wspVSWT which return specific volumes of steam and water at saturation line. The function use next formula: Vx = (1 - X)·Vw + X·Vs, where Vs = wspVSST, Vw = wspVSWT and X - degree of dryness.
This function use the functions wspUSST and wspUSWT which return specific internal energies of steam and water at saturation line. The function use next formula: Ux = (1 - X)·Uw + X·Us, where Us = wspUSST, Uw = wspUSWT and X - degree of dryness.
This function use the functions wspSSST and wspSSWT which return specific entropies of steam and water at saturation line. The function use next formula: Sx = (1 - X)·Sw + X·Ss, where Ss = wspSSST, Sw = wspSSWT and X - degree of dryness.
This function use the functions wspHSST and wspHSWT which return specific enthalpies of steam and water at saturation line. The function use next formula: Hx = (1 - X)·Hw + X·Hs, where Hs = wspHSST, Hw = wspHSWT and X - degree of dryness.
This function use the functions wspCPSST and wspCPSWT which return specific heat capacities at constant pressure (Cp) of steam and water at saturation line. The function use next formula: CPx = (1 - X)·CPw + X·CPs, where CPs = wspCPSST, CPw = wspCPSWT and X - degree of dryness.
This function use the functions wspCVDPSST and wspCVDPSWT which return specific heat capacities at constant volume (Cv) of steam and water at saturation line in the double-phase region area. The function use next formula: CVx = (1 - X)·CVDPw + X·CVDPs, where CVDPs = wspCVDPSST, CVDPw = wspCVDPSWT and X - degree of dryness. Until version 5.6 this function use functions wspCVSST and wspCVSWT. This is not right from the point of view of thermodynamic, because don't consider the properties jump at saturation line. From version 5.6 used right formula.
This function use the function wspKSTX for calculating sound velocity in double-phase area from the point of view of thermodynamic. But this function don't consider the flow structure. Until version 5.6 this function use next formula: Wx = (1 - X)·Ww + X·Ws, where Ws = wspWSST, Ww = wspWSWT and X - degree of dryness, this is not right from the point of view of thermodynamic. This is not right from the point of view of thermodynamic, because don't consider the properties jump at saturation line. From version 5.6 used right formula.
Function calculated the propert Joule-Thompson coefficient in double phase area with it's definition: JT = (dT/dP)h. Until version 5.6 this function use the functions wspJOULETHOMPSONSST and wspJOULETHOMPSONSWT and return value from next formula: JTx = (1 - X)·JOULETHOMPSONw + X·JOULETHOMPSONs, where JOULETHOMPSONs = wspJOULETHOMPSONSST, JOULETHOMPSONw = wspJOULETHOMPSONSWT and X - degree of dryness. This is not right from the definitions of Joule-Thompson. But now it is calculated proper.
wspTHERMCONDSTX (t, x)
This function use the functions wspTHERMCONDSST and wspTHERMCONDSWT which return thermal conductions of steam and water at saturation line. The function use next formula: THERMCONDx = (1 - X)·THERMCONDw + X·THERMCONDs, where THERMCONDs = wspTHERMCONDSST, THERMCONDw = wspTHERMCONDSWT and X - degree of dryness.
wspDYNVISSTX (t, x)
This function use the functions wspDYNVISSST and wspDYNVISSWT which return dynamic viscosities of steam and water at saturation line. The function use next formula: DYNVISx = (1 - X)·DYNVISw + X·DYNVISs, where DYNVISs = wspDYNVISSST, DYNVISw = wspDYNVISSWT and X - degree of dryness.
Prandtl number in double phase area as function of: temperature t [K], degree of dryness x []:
wspPRANDTLESTX (t, x)
This function use the functions wspPRANDTLESST and wspPRANDTLESWT which return Prandtl numbers of steam and water at saturation line. The function use next formula: PRANDTLEx = (1 - X)·PRANDTLEw + X·PRANDTLEs, where PRANDTLEs = wspPRANDTLESST, PRANDTLEw = wspPRANDTLESWT and X - degree of dryness.
wspKINVISSTX (t, x)
This function use the functions wspKINVISSST and wspKINVISSWT which return kinematic viscosities of steam and water at saturation line. The function use next formula: KINVISx = (1 - X)·KINVISw + X·KINVISs, where KINVISs = wspKINVISSST, KINVISw = wspKINVISSWT and X - degree of dryness.
Isoentropic exponent in double phase area as function of: temperature t [K], degree of dryness x []:
Function return the value of isoentropic exponent in double-phase area with properties jump at saturation line. Until version 5.6 this function use next formula: Kx = (1 - X)·Kw + X·Ks, where Ks = wspKSST, Kw = wspKSWT and X - degree of dryness. But this is not right from the point of view of thermodynamic. Now it's calculated properly.
Degree of dryness as function of: temperature t [K], specific volume v [m3/kg]:
This function use formula: X = (V - Vw)/(Vs - Vw), where Vw = wspVSWT, Vs = wspVSST.
Degree of dryness as function of: temperature t [K], specific internal energy u [J/kg]:
This function use formula: X = (U - Uw)/(Us - Uw), where Uw = wspUSWT, Us = wspUSST.
Degree of dryness as function of: temperature t [K], specific entropy s [J/(kg·K)]:
This function use formula: X = (S - Sw)/(Ss - Sw), where Sw = wspSSWT, Ss = wspSSST.
Degree of dryness as function of: temperature t [K], specific enthalpy h [J/kg]:
This function use formula: X = (H - Hw)/(Hs - Hw), where Hw = wspHSWT, Hs = wspHSST.
This function use formula: X = (CP - CPw)/(CPs - CPw), where CPw = wspCPSWT, CPs = wspCPSST.
This function use formula: X = (CV - CVDPw)/(CVDPs - CVDPw), where CVDPw = wspCVDPSWT, CVDPs = wspCVDPSST.
Degree of dryness as function of: temperature t [K], sound velocity w [m/sec]:
From version 5.6 this function calculate value of sound velocity in double-phase region from isoentropic exponent, so it's proper from the point of view of thermodynamic. Until version 5.6 this function use formula: X = (W - Ww)/(Ws - Ww), where Ww = wspWSWT, Ws = wspWSST. The last is not right. Now calculated right value.
Degree of dryness as function of: temperature t [K], thermal conduction tc [W/(m·K)]:
wspXSTTHERMCOND (t, tc)
This function use formula: X = (TC - TCw)/(TCs - TCw), where TCw = wspTHERMCONDSWT, TCs = wspTHERMCONDSST.
Degree of dryness as function of: temperature t [K], dynamic viscosity dv [Pa·sec]:
wspXSTDYNVIS (t, dv)
This function use formula: X = (DV - DVw)/(DVs - DVw), where DVw = wspDYNVISSWT, DVs = wspDYNVISSST.
Degree of dryness as function of: temperature t [K], kinematic viscosity kv [m2/sec]:
wspXSTKINVIS (t, kv)
This function use formula: X = (KV - KVw)/(KVs - KVw), where KVw = wspKINVISSWT, KVs = wspKINVISSST.
Degree of dryness as function of: temperature t [K], Prandtl number pr []:
wspXSTPRANDTLE (t, pr)
This function use formula: X = (PR - PRw)/(PRs - PRw), where PRw = wspPRANDTLESWT, PRs = wspPRANDTLESST.
Degree of dryness as function of: temperature t [K], Isoentropic exponent k []:
This function use formula: X = (K - Kw)/(Ks - Kw), where Kw = wspKSWT, Ks = wspKSST.
Degree of dryness as function of: temperature t [K], Joule-Thomspon coefficient jt [K/Pa]:
This function use formula: X = (JOULETHOMPSON - JOULETHOMPSONw)/(JOULETHOMPSONs - JOULETHOMPSONw), where JOULETHOMPSONw = wspJOULETHOMPSONSWT, JOULETHOMPSONs = wspJOULETHOMPSONSST.
WaterSteamPro (System)
System and adjustment functions.
Set and return internal tolerance of the WaterSteamPro as function of: tolerance tolerance []:
Used in functions with arguments (p, h) and (p, s). This tolerance is relative.
Internal tolerance of the WaterSteamPro:
Used in functions with arguments (p, h) and (p, s). This tolerance is relative.
Set and return a mode of management of tolerance as function of: mode mode []:
Used in functions with arguments p, h and p, s (wspTxPH and wspTxPS). If argument equal to zero the management of tolerance disabled and the speed of functions is increased while the tolerance is decreased.
Note: Function result have type "long".
Mode of management of tolerance:
Used in functions with arguments p, h and p, s (wspTxPH and wspTxPS). Zero if the management of tolerance is disabled.
Note: Function result have type "long".
Set and return a mode of checking the range of functions arguments as function of: mode mode []:
Used in functions before calculating. If argument mode equal to zero the checking is disabled and the speed of functions is increased but may occur errors and the result may be wrong.
Note: Function result have type "long".
Mode of checking the range of functions arguments:
Return zero if the checking is disabled.
Note: Function result have type "long".
Set and return a last error code as function of: error code ErrCode []:
This function can be used for estimation of quantity of errors since all error codes are enumerated starting with zero (no error) and subsequently in increasing order. In the case of a range overrun the function returns (and sets) zero value - that means no error.
Note: Function result have type "long".
Return last error occurred in any functions except system functions. Any function call (except system) set the error code to zero (no error).
Note: Function result have type "long".
Return last error description occurred in any function call except system functions. The result of function define in library OKAWSP5.DLL as LPCSTR (ANSI-symbols), but in ActiveX-object WSP.WSPCalculator - as BSTR (Unicode). So in Visual Basic you must use the ActiveX-version of function.
Note: Function result have type "string".
wspLOCALREGISTRATION (name, key)
May be used in commercial programs.
Note: Function result have type "void".
If difference less than argument of this function (delta) the function wspWATERSTATEAREA return double phase area.
If difference less than argument of this function (delta) the function wspWATERSTATEAREA return double phase area.
wspSETMAXITERATION (maxiteration)
This number used when the Newton method used. If number of iterations more than this value the error WSP_CANT_FIND_ROOT (3) occur.
Note: Function result have type "long".
Maximum iteration's count for Newton method:
This number used when the Newton method used. If number of iterations more than this value the error WSP_CANT_FIND_ROOT (3) occur.
Note: Function result have type "long".
In area 3 used the Newton method. This method stopped when the difference between values less then delta or maximum iteration count reached.
Maximum difference between pressure values at estimation of the area 3 parameters [Pa]:
In area 3 used the Newton method. This method stopped when the difference between values less then return value of this function or maximum iteration count reached.
Set and return initial value for water in area 3 [kg/m3] as function of: density r [kg/m3]:
In area 3 used the Newton method. This method need the initial value. The function wspR3PT use this value to determine density of water.
Initial value for water in area 3 [kg/m3]:
In area 3 used the Newton method. This method need the initial value. The function wspR3PT use this value to determine density of water.
Set and return the initial value for steam in area 3 [kg/m3] as function of: density r [kg/m3]:
In area 3 used the Newton method. This method need the initial value. The function wspR3PT use this value to determine density of steam.
Initial value for steam in area 3 [kg/m3]:
In area 3 used the Newton method. This method need the initial value. The function wspR3PT use this value to determine density of steam.
Internal version of the WaterSteamPro:
The format of version is x.yzzz where x - major version, y - minor version, zzz - revision.