cantera/ext/tpx/Water.cpp
2003-04-14 17:57:48 +00:00

177 lines
4.7 KiB
C++
Executable file

// water
#include "Water.h"
#include <math.h>
#include <string.h>
namespace tpx {
static const double Tmn=273.16;
static const double Tmx=1600.0;
static const double M=18.016;
static const double Tc=647.286;
static const double Pc=22.089e6;
static const double Roc=317.0;
static const double To=273.16;
static const double R=461.51;
static const double E=4.8E-3;
static const double Ta=1000.0;
static const double tauc=1.544912;
static const double Tp=338.15;
static const double aww=0.01;
static const double Roa1=634.0;
static const double Roaj=1000.0;
static const double u0=2375470.875;
static const double s0=6697.356635;
static const double A[10][7]={{2.9492937E-2,-5.1985860E-3,
6.8335354E-3,-1.5641040E-4,
-6.3972405E-3, -3.9661401E-3, -6.9048554E-4},
{-1.3213917E-4,7.7779182E-6, -2.6149751E-5,-7.2546108E-7,
2.6409282E-5, 1.5453061E-5,2.7407416E-6},
{2.7464632E-7,-3.3301902E-8,6.5326396E-8,-9.2734289E-9,
-4.7740374E-8,-2.9142470E-8,-5.1028070E-9},
{-3.6093828E-10, -1.6254622E-11, -2.6181978E-11, 4.3125840E-12,
5.6323130E-11, 2.9568796E-11,3.9636085E-12},
{3.4218431E-13, -1.7731074E-13,0,0,0,0,0},
{-2.4450042E-16, 1.2748742E-16,0,0,0,0,0},
{1.5518535E-19, 1.3746153E-19,0,0,0,0,0},
{5.9728487E-24,1.5597836E-22, 0,0,0,0,0},
{-4.1030848E-1, 3.3731180E-1, -1.3746678E-1, 6.7874983E-3,
1.3687317E-1, 7.984797E-2, 1.3041253E-2},
{-4.1605860E-4, -2.0988866E-4,-7.3396848E-4,1.0401717E-5,
6.4581880E-4, 3.9917570E-4, 7.1531353E-5}};
static const double F[]={-7.4192420, 2.9721E-1,-1.155286E-1,8.685635E-3,
1.0940980E-3, -4.39993E-3, 2.5206580E-3, -5.2186840E-4};
static const double D[]={3.6711257,-2.8512396E1,2.2265240E2,-8.8243852E2,
2.0002765E3,-2.6122557E3,1.8297674E3,-5.3350520E2};
static const double G[]={4.6E4,1.011249E3,8.3893E-1,-2.19989E-4,2.466619E-7,
-9.704700E-11};
static const double taua[] = {1.544912, 2.5, 2.5, 2.5, 2.5, 2.5, 2.5};
inline double water::C(int i) {
double tau = Ta/T;
return (i == 0 ? R*T : R*T*(tau - tauc)*pow(tau - taua[i],i-1));
}
inline double water::Cprime(int i) {
double tau = Ta/T;
return (i == 0 ? R : (i == 1 ? -R*tauc :
-R*pow(tau - taua[i],i-2)*(tauc*(tau - taua[i])
+ (i-1)*tau*(tau - tauc))));
}
inline double water::I(int j) {
double factor, sum, rho_aj;
rho_aj = (j == 0 ? Roa1 : Roaj);
sum = 0.0;
factor = Rho - rho_aj;
for(int i=7; i>0; i--) {
sum += A[i][j];
sum *= factor;
}
sum += A[0][j];
sum += (exp(-E*Rho)*(A[8][j] + A[9][j]*Rho));
return Rho*sum;
}
inline double water::H(int j) {
double factor, sum, rho_aj;
rho_aj = (j == 0 ? Roa1 : Roaj);
sum = 0.0;
factor = Rho - rho_aj;
for(int i=6; i>0; i--) {
sum += (A[i][j] + Rho*(i+1)*A[i+1][j]);
sum *= factor;
}
sum += (A[0][j] + Rho*A[1][j]);
sum += (exp(-E*Rho)*((1.0 - Rho*E)*A[8][j]
+ Rho*(2.0 - Rho*E)*A[9][j]));
sum += A[7][j]*pow(factor,7);
return Rho*Rho*sum;
}
double water::up() {
double sum = 0.0;
int i;
for (i=0; i<7; i++)
sum += (C(i) - T*Cprime(i))*I(i);
for (i=1; i<6; i++)
sum += G[i]*(pow(T,i) - pow(To,i))/double(i);
sum += G[0]*log(T/To) + u0;
return sum + m_energy_offset;
}
double water::sp() {
double sum = 0.0;
int i;
for (i=2; i<6; i++)
sum += G[i]*(pow(T,i-1) - pow(To,i-1))/double(i-1);
sum += G[1]*log(T/To);
sum -= G[0]*(1.0/T - 1.0/To);
sum += s0 - R*log(Rho);
for (i=0; i<7; i++)
sum -= Cprime(i)*I(i);
return sum + m_entropy_offset;
}
double water::Pp(){
double P = Rho*R*T;
for(int i=0; i<7; i++)
P += C(i)*H(i);
return P;
}
double water::Psat(){
double log, sum=0,P;
if ((T < Tmn) || (T > Tc))
set_Err(TempError); // Error("water::Psat",TempError,T);
for (int i=1;i<=8;i++)
sum += F[i-1]*pow(aww*(T-Tp),double(i-1)); // DGG mod
log = (Tc/T-1)*sum;
P=exp(log)*Pc;
return P;
}
/*
double water::dPsatdT(){
double log, sum1=0, sum2=0;
int i;
if ((T < Tmn) || (T > Tc))
set_Err(TempError); // Error("water::dPsatdT",TempError,T);
for (i=1;i<=8;i++)
sum1 += F[i-1]*pow(a*(T-Tp),double(i-1));
for (i=2;i<=8;i++)
sum2 += F[i-1]*a*(i-1)*pow(a*(T-Tp),double(i-2));
log = (Tc/T-1)*sum2 - Tc*sum1/(T*T);
return log*Psat();
}
*/
double water::ldens(){
double sum=0;
int i;
if ((T < Tmn) || (T >= Tc))
set_Err(TempError); // Error("water::ldens",TempError,T);
for(i=0;i<=8;i++)
sum+=D[i-1]*pow(1.0 - T/Tc, double(i)/3.0);
double density = Roc*(1+sum);
return density;
}
double water::Tcrit() {return Tc;}
double water::Pcrit() {return Pc;}
double water::Vcrit() {return 1.0/Roc;}
double water::Tmin() {return Tmn;}
double water::Tmax() {return Tmx;}
char * water::name() {return "water";}
char * water::formula() {return "H2O";}
double water::MolWt() {return M;}
}