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FloodProp._cpp
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FloodProp._cpp
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#define _CRT_SECURE_NO_WARNINGS
#ifndef __GNUC__
#define _CRTDBG_MAP_ALLOC
#include <stdlib.h>
#include <crtdbg.h>
#endif
#include "math.h"
#include "stdio.h"
#include <string.h>
#include "CoolProp.h"
#include "FloodProp.h"
// ****************************
// ***** Gas Variables ********
// ****************************
static int I_N2=0, I_He=1, I_Ne=2, I_Ar=3, I_Kr=4, I_Xe=5, I_CO2=6;
static int I_Methanol=0, I_Ethanol=1, I_Propanol=2, I_Butanol=3, I_Water=4, I_NH3=5, I_Zerol=6,I_POE=7;
static double cp_A[6], cp_B[6], cp_C[6], cp_D[6], cp_E[6];
static double kg_A[7], kg_B[7], kg_C[7];
static double w[6], Pc[6], Tc[6], MM_g[6];
static double mug_A[7], mug_B[7], mug_C[7];
//When adding gas, make sure to increase
// the length of coefficient vectors
// ****************************
// ***** Liq Variables ********
// ****************************
#define NL 8
double rhol_A[NL], rhol_B[NL], rhol_n[NL], rhol_Tc[NL];
double kl_A[NL], kl_B[NL], kl_C[NL], kl_D[NL];
double cl_A[NL], cl_B[NL], cl_C[NL], cl_D[NL];
double mul_A[NL], mul_B[NL], mul_C[NL], mul_D[NL];
double MM_l[NL];
int isNAN_FP(double x)
{
// recommendation from http://www.devx.com/tips/Tip/42853
return x != x;
}
int isINFINITY_FP(double x)
{
// recommendation from http://www.devx.com/tips/Tip/42853
if ((x == x) && ((x - x) != 0.0))
return 1;//return (x < 0.0 ? -1 : 1); // This will tell you whether positive or negative infinity
else
return 0;
}
int getIndex(char *Fluid)
{
int I;
if (!strcmp(Fluid,"N2")) {I=I_N2;}
if (!strcmp(Fluid,"He")) {I=I_He;}
if (!strcmp(Fluid,"Ne")) {I=I_Ne;}
if (!strcmp(Fluid,"Ar")) {I=I_Ar;}
if (!strcmp(Fluid,"Kr")) {I=I_Kr;}
if (!strcmp(Fluid,"Xe")) {I=I_Xe;}
if (!strcmp(Fluid,"CO2")) {I=I_CO2;}
if (!strcmp(Fluid,"Methanol")) { I=I_Methanol;}
if (!strcmp(Fluid,"Ethanol")) { I=I_Ethanol;}
if (!strcmp(Fluid,"Propanol")) {I=I_Propanol;}
if (!strcmp(Fluid,"Butanol")) {I=I_Butanol;}
if (!strcmp(Fluid,"Water")) {I=I_Water;}
if (!strcmp(Fluid,"NH3")) {I=I_NH3;}
if (!strcmp(Fluid,"Zerol")) {I=I_Zerol;}
if (!strcmp(Fluid,"POE")) {I=I_POE;}
return I;
}
// // ********************************************************************
// // ************************ CONSTANTS *******************************
// // ********************************************************************
void setGas()
{
//Constants for Molar specific heat
//cp in [kJ/kg-K]
cp_A[I_N2]=29.342;
cp_B[I_N2]=-0.0035395;
cp_C[I_N2]=0.000010076;
cp_D[I_N2]=-4.3116E-09;
cp_E[I_N2]=2.5935E-13;
cp_A[I_He]=20.786;
cp_B[I_He]=0.0;
cp_C[I_He]=0.0;
cp_D[I_He]=0.0;
cp_E[I_He]=0.0;
cp_A[I_Ne]=20.786;
cp_B[I_Ne]=0.0;
cp_C[I_Ne]=0.0;
cp_D[I_Ne]=0.0;
cp_E[I_Ne]=0.0;
cp_A[I_Ar]=20.786;
cp_B[I_Ar]=0.0;
cp_C[I_Ar]=0.0;
cp_D[I_Ar]=0.0;
cp_E[I_Ar]=0.0;
cp_A[I_Kr]=20.786;
cp_B[I_Kr]=0.0;
cp_C[I_Kr]=0.0;
cp_D[I_Kr]=0.0;
cp_E[I_Kr]=0.0;
cp_A[I_Xe]=20.786;
cp_B[I_Xe]=0.0;
cp_C[I_Xe]=0.0;
cp_D[I_Xe]=0.0;
cp_E[I_Xe]=0.0;
//Constants for Molar specific heat
//cp in [kJ/kg-K]
// Thermal Conductivity
// Units of [W/m-K]
kg_A[I_N2]=0.00309; kg_B[I_N2]=7.593e-5; kg_C[I_N2]=-1.1014e-8;
kg_A[I_He]=0.05516; kg_B[I_He]=0.0003254; kg_C[I_He]=-2.2723E-08;
kg_A[I_Ne]=0.01379; kg_B[I_Ne]=0.00012156; kg_C[I_Ne]=-2.359E-08;
kg_A[I_Ar]=0.00548; kg_B[I_Ar]=0.000043869; kg_C[I_Ar]=-6.8141E-09;
kg_A[I_Kr]=0.00168; kg_B[I_Kr]=0.000027493; kg_C[I_Kr]=-4.7254E-09;
kg_A[I_Xe]=0.00034; kg_B[I_Xe]=0.000018809; kg_C[I_Xe]=-3.0072E-09;
kg_A[I_CO2]=-0.012; kg_B[I_CO2]=0.00010208; kg_C[I_CO2]=-2.2403E-08;
//Thermal Conductivity
//Units of [W/m-K]
//Accentric Factor For Gas
//Dimensionless
w[I_N2]=0.04;
w[I_He]=-0.39;
w[I_Ne]=-0.04;
w[I_Ar]=0.0;
w[I_Kr]=0.0;
w[I_Xe]=0.0;
//Accentric Factor For Gas
//Dimensionless
//Critical Temp For Gas
//Units of [K]
Tc[I_N2]=126.1;
Tc[I_He]=5.2;
Tc[I_Ne]=44.4;
Tc[I_Ar]=150.86;
Tc[I_Kr]=209.35;
Tc[I_Xe]=289.74;
//Critical Temp For Gas
//Units of [K]
//Critical Pressure For Gas
//Units of [kPa]
Pc[I_N2]=3394.0;
Pc[I_He]=228.0;
Pc[I_Ne]=2653.0;
Pc[I_Ar]=4898.0;
Pc[I_Kr]=5502.0;
Pc[I_Xe]=5840.0;
//Critical Pressure For Gas
//Units of [kPa]
//Viscosity Constants of Gas
//Viscosity has units of micro-Poise
mug_A[I_Ar]=44.997; mug_B[I_Ar]=0.63892; mug_C[I_Ar]=-0.00012455;
mug_A[I_He]=71.094; mug_B[I_He]=0.443; mug_C[I_He]=-0.0000518;
mug_A[I_Kr]=31.096; mug_B[I_Kr]=0.798; mug_C[I_Kr]=-0.000179;
mug_A[I_Ne]=102.964; mug_B[I_Ne]=0.746; mug_C[I_Ne]=-0.000136;
mug_A[I_N2]=42.606; mug_B[I_N2]=0.475; mug_C[I_N2]=-0.0000988;
mug_A[I_Xe]=7.386; mug_B[I_Xe]=0.787; mug_C[I_Xe]=-0.000151;
mug_A[I_CO2]=11.811; mug_B[I_CO2]=0.49838; mug_C[I_CO2]=-0.00010851;
//Viscosity Constants of Gas
//Viscosity has units of micro-Poise
//Mole Mass of Gas
//Units of kg/kmol
MM_g[I_Ar]=39.948;
MM_g[I_He]=4.003;
MM_g[I_Kr]=83.8;
MM_g[I_Ne]=20.18;
MM_g[I_N2]=28.013;
MM_g[I_Xe]=131.29;
//Mole Mass of Gas
//Units of kg/kmol
}
void setLiq()
{
//Constants for Molar specific heat
//cp in [kJ/kg-K]
cl_A[I_Methanol]=40.152;
cl_B[I_Methanol]=0.31046;
cl_C[I_Methanol]=-0.0010291;
cl_D[I_Methanol]=1.4598E-06;
cl_A[I_Ethanol]=59.342;
cl_B[I_Ethanol]=0.36358;
cl_C[I_Ethanol]=-0.0012164;
cl_D[I_Ethanol]=0.000001803;
cl_A[I_Propanol]=72.525;
cl_B[I_Propanol]=0.79553;
cl_C[I_Propanol]=-0.002633;
cl_D[I_Propanol]=3.6498E-06;
cl_A[I_Butanol]=95.037;
cl_B[I_Butanol]=0.56593;
cl_C[I_Butanol]=-0.0018256;
cl_D[I_Butanol]=2.6675E-06;
cl_A[I_Water]=92.053;
cl_B[I_Water]=-0.039953;
cl_C[I_Water]=-0.00021103;
cl_D[I_Water]=5.3469E-07;
cl_A[I_NH3]=-182.157;
cl_B[I_NH3]=3.3618;
cl_C[I_NH3]=-0.014398;
cl_D[I_NH3]=0.000020371;
cl_A[I_Zerol]=337.116/1000;
cl_B[I_Zerol]=5.186/1000;
cl_C[I_Zerol]=0.0;
cl_D[I_Zerol]=0.0;
cl_A[I_POE]=1.8; // From Booser page 16
cl_B[I_POE]=0.0;
cl_C[I_POE]=0.0;
cl_D[I_POE]=0.0;
//Constants for Molar specific heat
//cp in [kJ/kg-K]
// Thermal Conductivity
// Units of [W/m-K]
kl_A[I_Methanol]=-1.1793; kl_B[I_Methanol]=0.6191; kl_C[I_Methanol]=512.58;
kl_A[I_Ethanol]=-1.3172; kl_B[I_Ethanol]=0.6987; kl_C[I_Ethanol]=516.25;
kl_A[I_Propanol]=-1.3721; kl_B[I_Propanol]=0.658; kl_C[I_Propanol]=508.31;
kl_A[I_Butanol]=-1.4633; kl_B[I_Butanol]=0.7473; kl_C[I_Butanol]=536.01;
kl_A[I_Water]=-0.2758; kl_B[I_Water]=0.004612; kl_C[I_Water]=-5.5391E-06;
kl_A[I_NH3]=1.1606; kl_B[I_NH3]=-0.002284; kl_C[I_NH3]=3.1245E-18;
kl_A[I_Zerol]=0.1700; kl_B[I_Zerol]=0; kl_C[I_Zerol]=0;
kl_A[I_POE]=0.147; kl_B[I_POE]=0; kl_C[I_POE]=0;
// Thermal Conductivity
// Units of [W/m-K]
//Viscosity Constants of Liquid
//Viscosity has units of centi-Poise
mul_A[I_Methanol]=-9.0562; mul_B[I_Methanol]=1254.2; mul_C[I_Methanol]=0.022383; mul_D[I_Methanol]=-0.000023538;
mul_A[I_Ethanol]=-6.4406; mul_B[I_Ethanol]=1117.6; mul_C[I_Ethanol]=0.013721; mul_D[I_Ethanol]=-0.000015465;
mul_A[I_Propanol]=-0.7009; mul_B[I_Propanol]=841.5; mul_C[I_Propanol]=-0.0086068; mul_D[I_Propanol]=8.2964E-06;
mul_A[I_Butanol]=-20.6736; mul_B[I_Butanol]=3549.3; mul_C[I_Butanol]=0.040352; mul_D[I_Butanol]=-0.000030937;
mul_A[I_Water]=-10.2158; mul_B[I_Water]=1792.5; mul_C[I_Water]=0.01773; mul_D[I_Water]=-0.000012631;
mul_A[I_NH3]=-8.591; mul_B[I_NH3]=876.4; mul_C[I_NH3]=0.02681; mul_D[I_NH3]=-0.00003612;
mul_A[I_Zerol]=0.0102; mul_B[I_Zerol]=0; mul_C[I_Zerol]=0; mul_D[I_Zerol]=0;
mul_A[I_POE]=0.0102; mul_B[I_POE]=0; mul_C[I_POE]=0; mul_D[I_POE]=0;
//Viscosity Constants of Liquid
//Viscosity has units of centi-Poise
//Density Constants of Liquid
//Density has units of kg/m^3
rhol_A[I_Methanol]=0.27197; rhol_B[I_Methanol]=0.27192; rhol_n[I_Methanol]=0.2331; rhol_Tc[I_Methanol]=512.58;
rhol_A[I_Ethanol]=0.2657; rhol_B[I_Ethanol]=0.26395; rhol_n[I_Ethanol]=0.2367; rhol_Tc[I_Ethanol]=516.25;
rhol_A[I_Propanol]=0.26785; rhol_B[I_Propanol]=0.26475; rhol_n[I_Propanol]=0.243; rhol_Tc[I_Propanol]=508.31;
rhol_A[I_Butanol]=0.27343; rhol_B[I_Butanol]=0.2635; rhol_n[I_Butanol]=0.2604; rhol_Tc[I_Butanol]=536.01;
rhol_A[I_Water]=0.3471; rhol_B[I_Water]=0.274; rhol_n[I_Water]=0.28571; rhol_Tc[I_Water]=647.13;
rhol_A[I_NH3]=0.23689; rhol_B[I_NH3]=0.25471; rhol_n[I_NH3]=0.2887; rhol_Tc[I_NH3]=405.65;
//Density Constants of Liquid
//Density has units of kg/m^3
//Mole Mass of Liquid
//Units of kg/kmol
MM_l[I_Methanol]=32.04;
MM_l[I_Ethanol]=46.06844;
MM_l[I_Propanol]=60.10;
MM_l[I_Butanol]=74.1216;
MM_l[I_Water]=18.0153;
MM_l[I_NH3]=17.0306;
MM_l[I_Zerol]=1; //Dummy value since values for Zerol are given
// in terms of kJ/kg and dont need conversion
MM_l[I_POE]=1; //Dummy value since values for POE are given
// in terms of kJ/kg and dont need conversion
//Mole Mass of Liquid
//Units of kg/kmol
}
// // ********************************************************************
// // ************************ FUNCTIONS *******************************
// // ********************************************************************
double cK_e(double v_l, double v_g, double x, double w, double flag)
{
// Equation taken from page 43, equation 4.51 from Chisholm for
// liquid entrainment in gas. Value of w 0.4 is recommended from text
double KE;
if (x==0 || x==1)
{
return 1;
}
if (flag>0.9 && flag<1.1)
{
KE=w+(1.0-w)*sqrt((v_g/v_l+w*(1-x)/x)/(1+w*(1-x)/x));
}
if (flag>1.9 && flag<2.1)
{
// Chisholms sqrt(vh/vl)
KE=sqrt(1.0+x*(v_g/v_l-1.0));
}
if (flag>2.9 && flag<3.1)
{
KE=pow(v_g/v_l,0.25*.28);
}
return KE;
}
double cv_e(double v_l, double v_g, double K_e, double x, double w, double flag)
{
double ve;
double Kc;
if (flag>0.9 && flag<1.1)
{
// using 5.48 and 5.49 from Chisholm
// if w=0, separated flow results ( flag==2 )
// if w=1, homogeneous flow results ( flag == 5)
// So basically this form is general and captures all possibilities, sep, hom, or entrained
// should use this one
// ( [(1-w)^2] ) -1
// Kc= ( w+ [-------] )
// ( [ K_e-w ] )
Kc=1.0/(w+((1.0-w)*(1.0-w))/(K_e-w));
ve=(x*v_g+K_e*(1.0-x)*v_l)*(x+(1.0-x)/Kc);
}
if (flag>1.9 && flag<2.1)
{
// Equation 5.13 from Chisholm for separated flow
ve=(x*v_g+K_e*(1.0-x)*v_l)*(x+(1.0-x)/K_e);
}
if (flag>2.9 && flag<3.1)
{
// Equation 2.48 from Chisholm
ve=(1+w*(1-x)/x*v_l/v_g)/(1+w*(1-x)/x)*v_g;
}
if (flag>3.9 && flag<4.1)
{
// using 15 from Morris
// If going to use this formula, must change pow() to multiply
ve=(x*v_g+K_e*(1.0-x)*v_l)*(x+(1.0-x)/K_e*(1+pow(K_e-1,2.0)/(pow(v_g/v_l,0.5)-1)));
}
if (flag>4.9 && flag<5.1)
{
// homogenous
ve=(x*v_g+(1.0-x)*v_l);
}
return ve;
}
double R(char *Gas)
{
// output in kJ/kg-K
int ii;
return 8.31447215/Props('M','T',0,'P',0,Gas);
setGas();
ii=getIndex(Gas);
return 8.31447215/MM_g[ii];
}
double rho_l(char *Liq, double T)
{
// T in K
// rho in kg/m^3
double rhoL;
int ii;
setLiq();
ii=getIndex(Liq);
if (!strcmp(Liq,"Zerol"))
rhoL=-.6670*T +1050.865;
else if (!strcmp(Liq,"POE"))
{
// Based on 3MAF POE oil data provided by Emerson Climate
rhoL=(-0.00074351165052847*(T-273.15)+0.992439584365375)*1000;
}
else
{
//Given by the form rho=A/B^((1-T/Tc)^n)
rhoL=rhol_A[ii]/pow(rhol_B[ii],pow(1-T/rhol_Tc[ii],rhol_n[ii]))*1000;
}
return rhoL;
}
double rho_g(char *Gas, double T, double P)
{
// input in K, [-]
// output in kg/m^3
double Value;
// Turn on the LUT
Value=Props('D','T',T,'P',P,Gas);
if (!ValidNumber(Value))
{
//ERROR
printf("rho_g error");
}
else
return Value;
return P/(R(Gas)*T);
}
double h_g(char *Gas, double T, double P)
{
// input in K,kPa
// output in kJ/kg
int ii;
double Value;
// Turn on the LUT
Value=Props('H','T',T,'P',P,Gas);
if (!ValidNumber(Value))
{
//ERROR
printf("h_g error");
}
else
return Value;
setGas();
ii=getIndex(Gas);
return (cp_A[ii]*(T-298.15) + cp_B[ii]/2.0*(T*T-298.15*298.15) + cp_C[ii]/3.0*(T*T*T-298.15*298.15*298.15) + cp_D[ii]/4.0*(T*T*T*T-298.15*298.15*298.15*298.15) + cp_E[ii]/5.0*(T*T*T*T*T-298.15*298.15*298.15*298.15*298.15))/MM_g[ii];
}
double u_g(char *Gas, double T, double P)
{
// input in K,kPa
// output in kJ/kg
double Value;
// Turn on the LUT
Value=Props('U','T',T,'P',P,Gas);
if (!ValidNumber(Value))
{
//ERROR
printf("u_g error");
}
else
return Value;
return h_g(Gas,T,P)-R(Gas)*T;
}
double s_g(char *Gas, double T, double P)
{
// input in K
// output in kJ/kg-K
double Value;
int ii;
// Turn on the LUT
Value=Props('S','T',T,'P',P,Gas);
if (!ValidNumber(Value))
{
//ERROR
printf("s_g error");
}
else
return Value;
setGas();
ii=getIndex(Gas);
return (cp_A[ii]*log(T/298.15) + cp_B[ii]*(T-298.15) + cp_C[ii]/2.0*(T*T-298.15*298.15) + cp_D[ii]/3.0*(T*T*T-298.15*298.15*298.15))/MM_g[ii]-R(Gas)*log(P/101.325);
}
double c_v(char *Gas, double T, double P)
{
// input in K, [-]
// output in kJ/kg-K
int ii;
double Value;
// Turn on the LUT
Value=Props('O','T',T,'P',P,Gas);
if (!ValidNumber(Value))
{
//ERROR
printf("c_v error");
}
else
return Value;
setGas();
ii=getIndex(Gas);
return (cp_A[ii] + cp_B[ii]*T + cp_C[ii]*T*T + cp_D[ii]*T*T*T + cp_E[ii]*T*T*T*T)/MM_g[ii]-R(Gas);
}
double c_p(char *Gas, double T, double P)
{
// input in K, [-]
// output in kJ/kg-K
int ii;
double Value;
// Turn on the LUT
Value=Props('C','T',T,'P',P,Gas);
if (!ValidNumber(Value))
{
//ERROR
printf("c_p error");
}
else
return Value;
setGas();
ii=getIndex(Gas);
return (cp_A[ii] + cp_B[ii]*T + cp_C[ii]*T*T + cp_D[ii]*T*T*T + cp_E[ii]*T*T*T*T)/MM_g[ii];
}
double k_g(char *Gas, double T, double p)
{
// input in K
// output in kW/m-K
int ii;
double Value;
// Turn on the LUT
Value=Props('L','T',T,'P',p,Gas);
if (!ValidNumber(Value))
{
//ERROR
printf("k_g error");
}
else
return Value;
setGas();
ii=getIndex(Gas);
return (kg_A[ii] + kg_B[ii]*T + kg_C[ii]*T*T)/1000.0;
}
double mu_g(char *Gas, double T, double p)
{
// input in K
// output in microP --> Pa-s
int ii;
double Value;
// Turn on the LUT
Value=Props('V','T',T,'P',p,Gas);
if (!ValidNumber(Value))
{
//ERROR
printf("mu_g error");
}
else
return Value;
setGas();
ii=getIndex(Gas);
return (mug_A[ii] + mug_B[ii]*T + mug_C[ii]*T*T)/1.0e7;
}
double rho_m(char *Gas, char *Liq, double T, double P, double xL)
{
// input in K, kPa, [-]
// output in kg/m^3
double vG, vL, x,rhom;
if (xL==0)
{
return rho_g(Gas,T,P);
}
if (xL==1)
{
return rho_l(Liq,T);
}
vG=1/rho_g(Gas,T,P);
vL=1/rho_l(Liq,T);
x=1-xL;
rhom=1/(vG*x+vL*(1-x));
if (isNAN_FP(rhom))
printf("rhom is NaN");
if (isINFINITY_FP(rhom))
printf("rhom is Infinite");
return rhom;
}
double u_m(char *Gas, char *Liq, double T, double P, double xL)
{
// input in K, [-]
// output in kJ/kg
double uG, uL,um;
uL=u_l(Liq,T);
uG=u_g(Gas,T,P);
um=xL*uL+(1-xL)*uG;
if (isNAN_FP(um))
printf("um is NaN");
if (isINFINITY_FP(um))
printf("um is Infinite");
return um;
}
double h_m(char *Gas, char *Liq, double T, double P, double xL)
{
// input in K, [-]
// output in kJ/kg
double hG,hL,hm;
hG=h_g(Gas,T,P);
hL=u_l(Liq,T)+(P-101.325)/rho_l(Liq,T);
hm=xL*hL+(1-xL)*hG;
if (isNAN_FP(hm))
printf("hm is NaN");
if (isINFINITY_FP(hm))
printf("hm is Infinite");
return hm;
}
double c_l(char *Liq, double T)
{
// input in K, [-]
// output in kJ/kg
int ii;
setLiq();
ii=getIndex(Liq);
return (cl_A[ii] + cl_B[ii]*T + cl_C[ii]*T*T + cl_D[ii]*T*T*T)/MM_l[ii];
}
double u_l(char *Liq, double T)
{
// input in K
// output in kJ/kg
int ii;
setLiq();
ii=getIndex(Liq);
return (cl_A[ii]*(T-298.15) + cl_B[ii]/2.0*(T*T-298.15*298.15) + cl_C[ii]/3.0*(T*T*T-298.15*298.15*298.15) + cl_D[ii]/4.0*(T*T*T*T-298.15*298.15*298.15*298.15))/MM_l[ii];
}
double s_l(char *Liq, double T)
{
// input in K
// output in kJ/kg-K
int ii;
setLiq();
ii=getIndex(Liq);
return (cl_A[ii]*log(T/298.15) + cl_B[ii]*(T-298.15) + cl_C[ii]/2.0*(T*T-298.15*298.15) + cl_D[ii]/3.0*(T*T*T-298.15*298.15*298.15))/MM_l[ii];
}
double k_l(char *Liq, double T)
{
// input in K
// output in kW/m-K
int ii;
double kL;
setLiq();
ii=getIndex(Liq);
if (!strcmp(Liq,"NH3") || !strcmp(Liq,"Water") || !strcmp(Liq,"Zerol") || !strcmp(Liq,"POE"))
{
kL=(kl_A[ii] + kl_B[ii]*T + kl_C[ii]*T*T)/1000.0;
}
else
{
kL=(pow(10.0,kl_A[ii] + kl_B[ii]*pow(1-T/kl_C[ii],2.0/7.0)))/1000.0;
}
return kL;
}
double mu_l(char *Liq, double T)
{
// input in K
// output in cP --> Pa-s
int ii;
double muL,mu_cSt;
if (!strcmp(Liq,"Zerol"))
{
muL=-0.000122996*T+0.048002276;
}
else if (!strcmp(Liq,"POE"))
{
// Based on 3MAF POE oil data provided by Emerson Climate
mu_cSt= 0.0002389593*log(T)*log(T) - 0.1927238779*log(T) + 40.3718884485;
// From cSt to m^s, multiply by 1e-6, then multiply by density
muL=mu_cSt*1e-6*rho_l(Liq,T);
}
else
{
setLiq();
ii=getIndex(Liq);
muL=pow(10.0,mul_A[ii] + mul_B[ii]/T + mul_C[ii]*T + mul_D[ii]*T*T)/1.0e3;
}
return muL;
}
double dudT_m(char *Gas, char *Liq, double T, double P, double xL)
{
double delta=.001;
return (u_m(Gas,Liq,T+delta,P,xL)-u_m(Gas,Liq,T,P,xL))/delta;
}
double dudP_m(char *Gas, char *Liq, double T, double P, double xL)
{
double delta=.001;
return (u_m(Gas,Liq,T,P+delta,xL)-u_m(Gas,Liq,T,P,xL))/delta;
}
double dudxL_m(char *Gas, char *Liq, double T, double P, double xL)
{
double delta=.001;
return (u_m(Gas,Liq,T,P,xL+delta)-u_m(Gas,Liq,T,P,xL))/delta;
}
double drhodP_m(char *Gas, char *Liq, double T, double P, double xL)
{
double delta=0.001;
return (rho_m(Gas, Liq,T,P+delta,xL)-rho_m(Gas, Liq,T,P,xL))/delta;
}
double drhodT_m(char *Gas, char *Liq, double T, double P, double xL)
{
double delta=0.001;
return (rho_m(Gas, Liq,T+delta,P,xL)-rho_m(Gas, Liq,T,P,xL))/delta;
}
double drhodxL_m(char *Gas, char *Liq, double T, double P, double xL)
{
double delta=.001;
return (rho_m(Gas, Liq,T,P,xL+delta)-rho_m(Gas, Liq,T,P,xL))/delta;
}
double dvdT_m(char *Gas, char *Liq, double T, double P, double xL)
{
double delta=.001;
return (1/rho_m(Gas, Liq,T+delta,P,xL)-1/rho_m(Gas, Liq,T,P,xL))/delta;
}
double dvdP_m(char *Gas, char *Liq, double T, double P, double xL)
{
double delta=.001;
return (1/rho_m(Gas, Liq,T,P+delta,xL)-1/rho_m(Gas, Liq,T,P,xL))/delta;
}
double cp_mix(char *Gas, char *Liq, double T, double P, double xL)
{
// input in K,[-]
// output in kJ/kg
double cpm;
cpm=xL*c_l(Liq,T)+(1-xL)*c_p(Gas,T,P);
if (isNAN_FP(cpm))
printf("cpm is NaN");
if (isINFINITY_FP(cpm))
printf("cpm is Infinite");
return cpm;
}
double mu_mix(char *Gas, char *Liq, double T, double p, double xL)
{
double muL, muG,mum;
muL=mu_l(Liq,T); //kg/m-s
muG=mu_g(Gas,T,p);
mum=1/(xL/muL+(1-xL)/muG);
if (isNAN_FP(mum))
printf("mum is NaN");
if (isINFINITY_FP(mum))
printf("mum is Infinite");
return mum;
}
double k_mix(char *Gas, char *Liq, double T, double P, double xL)
{
//input in K,kPa, [-]
//output in kW/m-K
double kL, kG, VF,km;
kL=k_l(Liq,T);
kG=k_g(Gas,T,P);
VF=VoidFrac(Gas,Liq,T,P,xL);
if (VF<1e-12)
return kL;
else if (VF>1-1e-12)
return kG;
km=(1-VF)*kL+VF*kG;
if (isNAN_FP(km))
printf("km is NaN");
if (isINFINITY_FP(km))
printf("km is Infinite");
return km;
}
double VoidFrac(char *Gas, char *Liq, double T, double P, double xL)
{
//input in K, kPa, [-]
// output in [-]
double rhoL, rhoG,VF;
rhoL=rho_l(Liq,T);
rhoG=rho_g(Gas,T,P);
VF= ((1-xL)/rhoG)/((1-xL)/rhoG+xL/rhoL);
if (isNAN_FP(VF))
printf("VF is NaN");
if (isINFINITY_FP(VF))
printf("VF is Infinite");
return VF;
}
double Pr_mix(char *Gas, char *Liq, double T, double P, double xL)
{
double Prm;
// double cp,mu,k;
// cp=cp_mix(Gas,Liq,T,P,xL);
// mu=mu_mix(Gas,Liq,T,P,xL);
// k=k_mix(Gas,Liq,T,P,xL);
Prm=cp_mix(Gas,Liq,T,P,xL)*mu_mix(Gas,Liq,T,P,xL)/k_mix(Gas,Liq,T,P,xL);
if (isNAN_FP(Prm))
printf("Prm is NaN");
if (isINFINITY_FP(Prm))
printf("Prm is Infinite");
return Prm;
}
double kstar_m(char *Gas, char *Liq, double T, double P,double xL)
{
double kstarm;
//double cp,cv,cl;
//cp=c_p(Gas,T,P);
//cv=c_v(Gas,T,P);
//cl=c_l(Liq,T);
kstarm=((1-xL)*c_p(Gas,T,P)+xL*c_l(Liq,T))/((1-xL)*c_v(Gas,T,P)+xL*c_l(Liq,T));
if (isNAN_FP(kstarm))
printf("kstarm is NaN");
if (isINFINITY_FP(kstarm))
printf("kstarm is Infinite");
return kstarm;
}
double s_m(char *Gas, char *Liq, double T, double P, double xL)
{
// input in K, kPa, [-]
// output in kJ/kg-K
double sG,sL,sm;
sG=s_g(Gas,T,P);
sL=s_l(Liq,T);
sm=xL*sL+(1-xL)*sG;
if (isNAN_FP(sm))
printf("sm is NaN");
if (isINFINITY_FP(sm))
printf("sm is Infinite");
return sm;
}
double e_m(char *Gas, char *Liq, double T, double P, double xL)
{
// input in K, kPa, [-]
// output in kJ/kg
double T0=300,P0=100;
return (h_m(Gas,Liq,T,P,xL)-h_m(Gas,Liq,T0,P0,xL))-T0*(s_m(Gas,Liq,T,P,xL)-s_m(Gas,Liq,T0,P0,xL));
}
double T_hp_FP(char *Gas, char *Liq, double h, double p, double xL, double T_guess)
{
double x1,x2,x3,y1,y2,eps,f,T;
int iter;
eps=1e-8;
iter=1;
f=100.0;
while ((iter<=3 || fabs(f)>eps) && iter<100)
{
if (iter==1){x1=T_guess; T=x1;}
if (iter==2){x2=T_guess+0.1; T=x2;}
if (iter>2) {T=x2;}
f=h_m(Gas,Liq,T,p,xL)-h;
if (iter==1){y1=f;}
if (iter==2){y2=f;}
if (iter>2)
{
y2=f;
x3=x2-y2/(y2-y1)*(x2-x1);
y1=y2; x1=x2; x2=x3;
}
iter=iter+1;
}
if (isNAN_FP(T))
printf("uhoh");
if (isINFINITY_FP(T))
printf("uhoh");
//printf("THP: %d %g %g %g %g\n",iter,f,T,p,h_m(Gas,Liq,T,p+20,xL));
return T;
}
double T_Up(char *Gas, char *Liq, double U, double p, double xL, double V, double T_guess)
{
double x1,x2,x3,y1,y2,eps,f=999.,T;
int iter;
eps=1e-8;
iter=1;
while ((iter<=3 || fabs(f)>eps) && iter<100)
{
if (iter==1){x1=T_guess; T=x1;}
if (iter==2){x2=T_guess+0.1; T=x2;}
if (iter>2) {T=x2;}
f=U-u_m(Gas,Liq,T,p,xL)*rho_m(Gas,Liq,T,p,xL)*V;
if (iter==1){y1=f;}
if (iter>1)
{
y2=f;
x3=x2-y2/(y2-y1)*(x2-x1);
y1=y2; x1=x2; x2=x3;
}
iter=iter+1;
if (iter>50)
{
printf("T_Up not converging with inputs\n U: %g p: %g xL: %g V: %g T_guess: %g\n",U,p,xL,V,T_guess);
}
}
if (isNAN_FP(T))
printf("uhoh");
if (isINFINITY_FP(T))
printf("uhoh");
return T;
}
double p_Trho(char *Gas, char *Liq, double rho, double T, double xL, double p_guess)
{
double x1,x2,x3,y1,y2,eps,f,p;
int iter;
eps=1e-8;
iter=1;
f=999;
while ((iter<=3 || fabs(f)>eps) && iter<100)
{
if (iter==1){x1=p_guess; p=x1;}
if (iter==2){x2=p_guess+0.1; p=x2;}
if (iter>2) {p=x2;}
// Find the pressure which gives the same density
f=rho_m(Gas,Liq,T,p,xL)-rho;
if (iter==1){y1=f;}
if (iter==2){y2=f;}
if (iter>2)
{
y2=f;
x3=x2-y2/(y2-y1)*(x2-x1);
y1=y2; x1=x2; x2=x3;
}
iter=iter+1;
if (iter>50)
{
printf("p_Trho not converging with inputs\n rho: %g T: %g xL: %g p_guess: %g\n",rho,T,xL,p_guess);
}
}
if (isNAN_FP(x3))
printf("uhoh");
if (isINFINITY_FP(x3))
printf("uhoh");
return x3;
}
double h_sp_FP(char *Gas, char *Liq, double s, double p, double xL, double T_guess)
{
double x1,x2,x3,y1,y2,eps,f,T;
int iter;
eps=1e-8;
f=999;
iter=1;
while ((iter<=3 || fabs(f)>eps) && iter<100)
{
if (iter==1){x1=T_guess; T=x1;}
if (iter==2){x2=T_guess+0.1; T=x2;}
if (iter>2) {T=x2;}
// Find the temperature which gives the same entropy
f=s_m(Gas,Liq,T,p,xL)-s;
if (iter==1){y1=f;}
if (iter==2){y2=f;}
if (iter>2)