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co2_property_calc.c
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co2_property_calc.c
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/*
*This code is distributed under the license: MIT License
* Originally written by Zhenrong WANG
* mailto: [email protected]
*/
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include "co2_property_calc.h"
#include "co2_property_calc_origeqns.h"
#define ERR 1e-6
const double tab1[5]={
0.235156,-0.491266,5.211155e-2,5.347906e-2,-1.537102e-2,
};
const double dxx[5]={
0.4071119e-2,0.7198037e-4,0.2411697e-16,0.2971072e-22,-0.1627888e-22,
};
const double lk[4]={
1.51874307e-2,2.80674040e-2,2.28564190e-2,-7.41624210e-3
};
const double Bc[6][3]={
1,1.00128e-2,4.30829e-3,
2,5.60488e-2,-3.58563e-2,
3,-8.11620e-2,6.71480e-2,
4,6.24337e-2,-5.22855e-2,
5,-2.06336e-2,1.74571e-2,
6,2.53248e-3,-1.96414e-3,
};
int is_vld_prop(co2_prop *prop)
{
if(isnan(prop->pres)||isnan(prop->temp)||isnan(prop->spe_vol)||isnan(prop->dens)||isnan(prop->spe_entr)||isnan(prop->spe_ener)||isnan(prop->spe_h_v)||isnan(prop->spe_enth)||isnan(prop->spe_h_p)||isnan(prop->speed_sound)||isnan(prop->Joule_Thompson))
return -1;
else if(prop->pres<0||prop->temp<0||prop->spe_vol<0||prop->dens<0||prop->spe_h_v<0||prop->spe_h_p<0||prop->speed_sound<0)
return -1;
else if(prop->speed_sound>2500||prop->spe_enth<-500e3)
return -1;
return 0;
}
void co2_prop_calc_tr(co2_prop *prop, double temp, double dens)
{
prop->pres=p_tr(temp,dens);
prop->temp=temp;
prop->spe_vol=1/dens;
prop->dens=dens;
prop->spe_entr=s_tr(temp,dens);
prop->spe_ener=u_tr(temp,dens);
prop->spe_h_v=cv_tr(temp,dens);
prop->spe_enth=h_tr(temp,dens);
prop->spe_h_p=cp_tr(temp,dens);
prop->sat_liq_hc=cs_tr(temp,dens);
prop->speed_sound=w_tr(temp,dens);
prop->Joule_Thompson=miu_tr(temp,dens);
prop->fugacity=f_tr(temp,dens);
prop->vf=-1;
prop->viscous=-1;
prop->thcond=-1;
}
void swap_line(double left_matrix[3][3],double right_array[3],int i,int j)
{
double temp;
int k;
temp=right_array[i];
right_array[i]=right_array[j];
right_array[j]=temp;
for(k=0; k<3; k++)
{
temp=left_matrix[i][k];
left_matrix[i][k]=left_matrix[j][k];
left_matrix[j][k]=temp;
}
}
int Gaussian_elimination(double *solution, double left_matrix[3][3],double right_hand_array[3])
{
int i,j,k,kk;
int max_index;
double max_temp;
double coeff_temp;
double sigma_temp;
int la,lb;
for(i=0; i<2; i++)
{
max_temp=fabs(left_matrix[i][i]);
max_index=i;
for(j=i+1; j<3; j++)
{
if(fabs(left_matrix[j][i])>max_temp)
{
max_temp=fabs(left_matrix[j][i]);
max_index=j;
}
}
if(fabs(max_temp-0)<ERR)
{
return -1;
}
if(max_index!=i)
{
swap_line(left_matrix,right_hand_array,i,max_index);
}
for(j=i+1; j<3; j++)
{
coeff_temp=left_matrix[j][i]/left_matrix[i][i];
right_hand_array[j]=right_hand_array[j]-coeff_temp*right_hand_array[i];
for(k=i; k<3; k++)
{
left_matrix[j][k]=left_matrix[j][k]-coeff_temp*left_matrix[i][k];
}
}
}
if(fabs(left_matrix[2][2])<ERR)
{
return -1;
}
solution[2]=right_hand_array[2]/left_matrix[2][2];
solution[1]=(right_hand_array[1]-left_matrix[1][2]*solution[2])/left_matrix[1][1];
solution[0]=(right_hand_array[0]-left_matrix[0][2]*solution[2]-left_matrix[0][1]*solution[1])/left_matrix[0][0];
// printf("........%lf,%lf,%lf\n",solution[0],solution[1],solution[2]);
return 0;
}
double find_max(double* solu)
{
double max=fabs(solu[0]);
double max2;
if(fabs(solu[1])>fabs(solu[2]))
max2=fabs(solu[1]);
else
max2=fabs(solu[2]);
if(max>max2)
return max;
else
return max2;
}
void calcfgh_dfgh_psat(double dfgh[3][3], double fgh[3], double tau, double d1, double d2, double ps)
{
// int ii;
fgh[0]=-(d1+d1*d1*phird(d1,tau)-ps*tau/(r_c*GAS_CONST_CO2*T_C));
dfgh[0][0]=d1*d1*phirdt(d1,tau)-ps/(r_c*GAS_CONST_CO2*T_C);
dfgh[0][1]=1+2*d1*phird(d1,tau)+d1*d1*phirdd(d1,tau);
dfgh[0][2]=0;
fgh[1]=-(d2+d2*d2*phird(d2,tau)-ps*tau/(r_c*GAS_CONST_CO2*T_C));
dfgh[1][0]=d2*d2*phirdt(d2,tau)-ps/(r_c*GAS_CONST_CO2*T_C);
dfgh[1][1]=0;
dfgh[1][2]=1+2*d2*phird(d2,tau)+d2*d2*phirdd(d2,tau);
fgh[2]=-(phir(d1,tau)-phir(d2,tau)-(ps*tau/(r_c*GAS_CONST_CO2*T_C))*(1/d2-1/d1)+log(d1/d2));
dfgh[2][0]=phirt(d1,tau)-phirt(d2,tau)-ps*(1/d2-1/d1)/(r_c*GAS_CONST_CO2*T_C);
dfgh[2][1]=phird(d1,tau)-ps*tau/(r_c*GAS_CONST_CO2*T_C*d1*d1)+1/d1;
dfgh[2][2]=-phird(d2,tau)+ps*tau/(r_c*GAS_CONST_CO2*T_C*d2*d2)-1/d2;
// printf("%lf,%lf,%lf\n",fgh[0],fgh[1],fgh[2]);
// for(ii=0;ii<3;ii++)
// {
// printf("%lf,%lf,%lf\n",dfgh[ii][0],dfgh[ii][1],dfgh[ii][2]);
// }
}
int calc_tsat_p(double *tsat, double *densl, double *densg, double psat)
{
double solu_iter[3]={0,0,0};
double left_matrix[3][3]={
0,0,0,
0,0,0,
0,0,0,
};
int flag=0;
int iter=0;
int solu_flag=-1;
int ii,jj,kk;
double right_array[3]={0,0,0};
double tau_ini[10]={T_C/217,T_C/227,T_C/237,T_C/247,T_C/257,T_C/267,T_C/277,T_C/287,T_C/297,T_C/304};
double d1_ini[3]={1000/r_c,800/r_c,600/r_c};
double d2_ini[9]={20/r_c,60/r_c,100/r_c,150/r_c,200/r_c,250/r_c,300/r_c,350/r_c,400/r_c};
double tau_nxt,tau_prev,d1_prev,d1_nxt,d2_prev,d2_nxt;
int i,j,k;
for(i=0;i<10;i++)
{
for(j=0;j<3;j++)
{
for(k=0;k<9;k++)
{
// printf("........%lf\t%lf\t%lf\n\n",tau_ini[i],d1_ini[j],d2_ini[k]);
calcfgh_dfgh_psat(left_matrix,right_array,tau_ini[i],d1_ini[j],d2_ini[k],psat);
// printf("%lf,%lf,%lf\n",right_array[0],right_array[1],right_array[2]);
// for(ii=0;ii<3;ii++)
// {
// printf("%lf,%lf,%lf\n",left_matrix[ii][0],left_matrix[ii][1],left_matrix[ii][2]);
// }
flag=Gaussian_elimination(solu_iter,left_matrix,right_array);
// printf("..........%lf,%lf,%lf\n",solu_iter[0],solu_iter[1],solu_iter[2]);
if(flag==-1)
continue;
tau_nxt=tau_ini[i]+solu_iter[0];
d1_nxt=d1_ini[j]+solu_iter[1];
d2_nxt=d2_ini[k]+solu_iter[2];
// printf("%lf,%lf,%lf\n",tau_nxt,d1_nxt,d2_nxt);
// printf("%lf,%lf,%lf\n",tau_ini[i],d1_ini[j],d2_ini[k]);
iter=0;
do
{
tau_prev=tau_nxt;
d1_prev=d1_nxt;
d2_prev=d2_nxt;
calcfgh_dfgh_psat(left_matrix,right_array,tau_prev,d1_prev,d2_prev,psat);
// printf("%lf,%lf,%lf\n",right_array[0],right_array[1],right_array[2]);
flag=Gaussian_elimination(solu_iter,left_matrix,right_array);
if(flag==-1)
break;
tau_nxt=tau_prev+solu_iter[0];
d1_nxt=d1_prev+solu_iter[1];
d2_nxt=d2_prev+solu_iter[2];
iter++;
}while(iter<100&&find_max(solu_iter)>ERR);
if(iter==100||flag==-1)
{
// printf("!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!%d,%d\n",iter,flag);
continue;
}
else if(!isnan(tau_nxt)&&!isnan(d1_nxt)&&!isnan(d2_nxt))
{
*tsat=T_C/tau_nxt;
*densl=d1_nxt*r_c;
*densg=d2_nxt*r_c;
return 0;
// printf("{{{{{{{{{{%d,%lf,%lf,%lf\n\n",iter,tau_nxt,d1_nxt,d2_nxt);
}
else
continue;
}
}
}
return -1;
// printf("######%d,%d,%d\n",i,j,k);
// printf("######%lf,%lf,%lf\n",T_C/solu[0],solu[1]*r_c,solu[2]*r_c);
}
void calcfgh_dfgh_tsat(double dfgh[3][3], double fgh[3], double ps, double d1, double d2, double ts)
{
int ii;
double tau=T_C/ts;
double coeff=r_c*GAS_CONST_CO2*ts;
fgh[0]=-coeff*(d1+d1*d1*phird(d1,tau))+ps;
dfgh[0][0]=-1;
dfgh[0][1]=coeff*(1+2*d1*phird(d1,tau)+d1*d1*phirdd(d1,tau));
dfgh[0][2]=0;
fgh[1]=-coeff*(d2+d2*d2*phird(d2,tau))+ps;
dfgh[1][0]=-1;
dfgh[1][1]=0;
dfgh[1][2]=coeff*(1+2*d2*phird(d2,tau)+d2*d2*phirdd(d2,tau));
fgh[2]=-coeff*(phir(d1,tau)-phir(d2,tau))+ps*(1/d2-1/d1)-coeff*log(d1/d2);
dfgh[2][0]=1/d1-1/d2;
dfgh[2][1]=coeff*(phird(d1,tau)+1/d1)-ps/(d1*d1);
dfgh[2][2]=coeff*(-phird(d2,tau)-1/d2)+ps/(d2*d2);
// printf("%lf,%lf,%lf\n",fgh[0],fgh[1],fgh[2]);
// for(ii=0;ii<3;ii++)
// {
// printf("%.12lf,%lf,%lf\n",dfgh[ii][0],dfgh[ii][1],dfgh[ii][2]);
// }
}
int calc_psat_t(double *psat, double *densl, double *densg, double tsat)
{
double solu_iter[3]={0,0,0};
double left_matrix[3][3]={
0,0,0,
0,0,0,
0,0,0,
};
int flag=0;
int iter=0;
int solu_flag=-1;
int ii,jj,kk;
double right_array[3]={0,0,0};
double ps_ini[10]={0.6e6,0.8e6,1.2e6,2.2e6,3.2e6,4.2e6,5.2e6,6.2e6,7.2e6,7.3e6};
double d1_ini[3]={1000/r_c,800/r_c,600/r_c};
double d2_ini[9]={20/r_c,60/r_c,100/r_c,150/r_c,200/r_c,250/r_c,300/r_c,350/r_c,400/r_c};
double ps_nxt,ps_prev,d1_prev,d1_nxt,d2_prev,d2_nxt;
int i,j,k;
for(i=0;i<1;i++)
{
for(j=0;j<1;j++)
{
for(k=0;k<1;k++)
{
calcfgh_dfgh_tsat(left_matrix,right_array,ps_ini[i],d1_ini[j],d2_ini[k],tsat);
flag=Gaussian_elimination(solu_iter,left_matrix,right_array);
// printf("%lf,%lf,%lf\n",right_array[0],right_array[1],right_array[2]);
// for(ii=0;ii<3;ii++)
// {
// printf("%lf,%lf,%lf\n",left_matrix[ii][0],left_matrix[ii][1],left_matrix[ii][2]);
// }
if(flag==-1)
continue;
ps_nxt=ps_ini[i]+solu_iter[0];
d1_nxt=d1_ini[j]+solu_iter[1];
d2_nxt=d2_ini[k]+solu_iter[2];
iter=0;
do
{
ps_prev=ps_nxt;
d1_prev=d1_nxt;
d2_prev=d2_nxt;
calcfgh_dfgh_tsat(left_matrix,right_array,ps_prev,d1_prev,d2_prev,tsat);
flag=Gaussian_elimination(solu_iter,left_matrix,right_array);
if(flag==-1)
break;
ps_nxt=ps_prev+solu_iter[0];
d1_nxt=d1_prev+solu_iter[1];
d2_nxt=d2_prev+solu_iter[2];
iter++;
}while(iter<100&&find_max(solu_iter)>ERR);
if(iter==100||flag==-1)
continue;
else if(!isnan(ps_nxt)&&!isnan(d1_nxt)&&!isnan(d2_nxt))
{
*psat=ps_nxt;
*densl=d1_nxt*r_c;
*densg=d2_nxt*r_c;
return 0;
}
else
continue;
}
}
}
return -1;
}
void calcfd_dfd_pt(double *f, double *df, double del, double pres, double tau)
{
*f=del+del*del*phird(del,tau)-pres*tau/(r_c*GAS_CONST_CO2*T_C);
*df=1+2*del*phird(del,tau)+del*del*phirdd(del,tau);
}
int dens_pt(double *dens, double pres, double temp)
{
int i,iter;
double tau=T_C/temp;
double f,df;
co2_prop pp;
double del_ini[12]={
0.1/r_c,1300/r_c,10/r_c,1200/r_c,200/r_c,1000/r_c,300/r_c,1400/r_c,400/r_c,800/r_c,467/r_c,600/r_c,
};
double del_ini2;
double del_prev,del_nxt;
for(i=0;i<12;i++)
{
// if(pres>0.7e6)
// del_ini2=del_ini[i+1];/
// else
del_ini2=del_ini[i];
// printf(".......%lf,%lf\n",pres,del_ini2);
iter=0;
calcfd_dfd_pt(&f,&df,del_ini2,pres,tau);
del_nxt=del_ini2-f/df;
do
{
del_prev=del_nxt;
calcfd_dfd_pt(&f,&df,del_prev,pres,tau);
del_nxt=del_prev-f/df;
iter++;
}while(iter<100&&fabs(del_nxt-del_prev)>ERR);
if(iter==100)
continue;
else
{
if(!isnan(del_nxt))
{
co2_prop_calc_tr(&pp,temp,del_nxt*r_c);
if(is_vld_prop(&pp)==-1||fabs(pres-pp.pres)/pres>1e-3)
continue;
else
{
*dens=del_nxt*r_c;
return 0;
}
}
else
continue;
}
}
return -1;
}
void calcfd_dfd_pr(double *f, double *df, double tau, double pres, double del)
{
*f=del+del*del*phird(del,tau)-pres*tau/(r_c*GAS_CONST_CO2*T_C);
*df=del*del*phirdt(del,tau)-pres/(r_c*GAS_CONST_CO2*T_C);
}
int temp_pr(double *temp, double pres, double dens)
{
int i,iter;
double del=dens/r_c;
double f,df;
co2_prop pp;
double tau_ini[10]={T_C/217,T_C/304,T_C/317,T_C/417,T_C/517,T_C/617,T_C/717,T_C/817,T_C/917,T_C/1017};
double tau_prev,tau_nxt;
for(i=0;i<10;i++)
{
// if(pres>0.7e6)
// del_ini2=del_ini[i+1];/
// else
// del_ini2=del_ini[i];
// printf(".......%lf,%lf\n",pres,del_ini2);
iter=0;
calcfd_dfd_pr(&f,&df,tau_ini[i],pres,del);
tau_nxt=tau_ini[i]-f/df;
do
{
tau_prev=tau_nxt;
calcfd_dfd_pr(&f,&df,tau_prev,pres,del);
tau_nxt=tau_prev-f/df;
iter++;
// printf("\n%lf.......\n",f/df);
}while(iter<100&&fabs(tau_nxt-tau_prev)>ERR);
if(iter==100)
continue;
else
{
if(!isnan(tau_nxt))
{
co2_prop_calc_tr(&pp,T_C/tau_nxt,dens);
if(is_vld_prop(&pp)==0&&fabs(pres-pp.pres)/pres<1e-4)
{
// printf("\n.........\n");
*temp=T_C/tau_nxt;
return 0;
}
else
continue;
}
else
continue;
}
}
// printf("\n%d....",i);
return -1;
}
void calcfd_dfd_th(double *f, double *df, double del, double tau, double h)
{
*f=1+tau*(phi0t(tau)+phirt(del,tau))+del*phird(del,tau)-h*tau/(GAS_CONST_CO2*T_C);
*df=tau*phirdt(del,tau)+del*phirdd(del,tau)+phird(del,tau);
}
int dens_th(double* dens, double temp, double h)
{
int i,iter;
double tau=T_C/temp;
double f,df;
co2_prop pp;
double del_ini[12]={
0.1/r_c,1300/r_c,10/r_c,1200/r_c,200/r_c,1000/r_c,300/r_c,1400/r_c,400/r_c,800/r_c,467/r_c,600/r_c,
};
double del_prev,del_nxt;
for(i=0;i<12;i++)
{
// if(pres>0.7e6)
// del_ini2=del_ini[i+1];/
// else
// del_ini2=del_ini[i];
// printf(".......%lf,%lf\n",pres,del_ini2);
iter=0;
calcfd_dfd_th(&f,&df,del_ini[i],tau,h);
del_nxt=del_ini[i]-f/df;
do
{
del_prev=del_nxt;
calcfd_dfd_th(&f,&df,del_prev,tau,h);
del_nxt=del_prev-f/df;
iter++;
// printf("\n%lf.......\n",f/df);
}while(iter<100&&fabs(del_nxt-del_prev)>ERR);
if(iter==100)
continue;
else
{
if(!isnan(del_nxt))
{
co2_prop_calc_tr(&pp,temp,del_nxt*r_c);
if(is_vld_prop(&pp)==0&&fabs((h-pp.spe_enth)/h)<1e-4)
{
// printf("\n.........\n");
*dens=del_nxt*r_c;
return 0;
}
else
continue;
}
else
continue;
}
}
// printf("\n%d....",i);
return -1;
}
void calcfd_dfd_ts(double *f, double *df, double del, double tau, double s)
{
*f=tau*(phi0t(tau)+phirt(del,tau))-phi0(del,tau)-phir(del,tau)-s/GAS_CONST_CO2;
*df=tau*phirdt(del,tau)-phi0d(del)-phird(del,tau);
// printf("\n%lf,%lf\n",*f,*df);
}
int dens_ts(double* dens, double temp, double s)
{
int i,iter;
double tau=T_C/temp;
double f,df;
co2_prop pp;
double del_ini[12]={
0.1/r_c,1300/r_c,10/r_c,1200/r_c,200/r_c,1000/r_c,300/r_c,1400/r_c,400/r_c,800/r_c,467/r_c,600/r_c,
};
double del_prev,del_nxt;
for(i=0;i<12;i++)
{
// if(pres>0.7e6)
// del_ini2=del_ini[i+1];/
// else
// del_ini2=del_ini[i];
// printf(".......%lf,%lf\n",pres,del_ini2);
iter=0;
calcfd_dfd_ts(&f,&df,del_ini[i],tau,s);
del_nxt=del_ini[i]-f/df;
do
{
del_prev=del_nxt;
calcfd_dfd_ts(&f,&df,del_prev,tau,s);
del_nxt=del_prev-f/df;
iter++;
// printf("\n%lf.......\n",f/df);
}while(iter<100&&fabs(del_nxt-del_prev)>ERR);
if(iter==100)
continue;
else
{
if(!isnan(del_nxt))
{
co2_prop_calc_tr(&pp,temp,del_nxt*r_c);
if(is_vld_prop(&pp)==0&&fabs((s-pp.spe_entr)/s)<1e-4)
{
// printf("\n.........\n");
*dens=del_nxt*r_c;
return 0;
}
else
continue;
}
else
continue;
}
}
// printf("\n%d....",i);
return -1;
}
void calcfg_dfg_hs(double *f, double *g, double *dfdt, double *dfdd, double *dgdt, double *dgdd, double tau, double del, double h, double s)
{
*f=1+tau*(phi0t(tau)+phirt(del,tau))+del*phird(del,tau)-h*tau/(GAS_CONST_CO2*T_C);
*dfdt=tau*(phi0tt(tau)+phirtt(del,tau))+phi0t(tau)+phirt(del,tau)+del*phirdt(del,tau)-h/(GAS_CONST_CO2*T_C);
*dfdd=tau*phirdt(del,tau)+del*phirdd(del,tau)+phird(del,tau);
*g=tau*(phi0t(tau)+phirt(del,tau))-phi0(del,tau)-phir(del,tau)-s/GAS_CONST_CO2;
*dgdt=tau*(phi0tt(tau)+phirtt(del,tau));
*dgdd=tau*phirdt(del,tau)-phi0d(del)-phird(del,tau);
}
int td_hs(double *temp, double *dens, double h, double s)
{
double tau_prev,tau_nxt;
double del_prev,del_nxt,t2,d2;
int i=0;
double f,g,dfdt,dgdt,dfdd,dgdd;
int t_index,d_index;
int flag=0;
double dt,dd,maxd;
co2_prop prop;
double tau_ini[10]={T_C/217,T_C/304,T_C/317,T_C/417,T_C/517,T_C/617,T_C/717,T_C/817,T_C/917,T_C/1017};
double del_ini[12]={
1/r_c,10/r_c,100/r_c,200/r_c,300/r_c,400/r_c,467/r_c,600/r_c,800/r_c,1000/r_c,1200/r_c,1400/r_c
};
for(t_index=0;t_index<10;t_index++)
{
for(d_index=0;d_index<12;d_index++)
{
// printf("\t%lf,%lf\n",pi_ini[p_index],tau_ini[t_index]);
calcfg_dfg_hs(&f,&g,&dfdt,&dfdd,&dgdt,&dgdd,tau_ini[t_index],del_ini[d_index],h,s);
// printf("%\n!!!!!!%.8lf\t%.8lf\t%.8lf\t%.8lf\t%.8lf\t%.8lf\n\n",f,g,dfdt,dfdd,dgdt,dgdd);
if(fabs(dfdd*dgdt-dfdt*dgdd)<ERR)
{
continue;
}
dd=(g*dfdt-f*dgdt)/(dfdd*dgdt-dgdd*dfdt);
dt=(g*dfdd-f*dgdd)/(dfdt*dgdd-dgdt*dfdd);
tau_nxt=tau_ini[t_index]+dt;
del_nxt=del_ini[d_index]+dd;
flag=0;
i=0;
// printf("\n%.12lf\t%.12lf\n",dt,dd);
do
{
tau_prev=tau_nxt;
del_prev=del_nxt;
calcfg_dfg_hs(&f,&g,&dfdt,&dfdd,&dgdt,&dgdd,tau_prev,del_prev,h,s);
if(fabs(dfdd*dgdt-dfdt*dgdd)<ERR)
{
flag=-1;
break;
}
dd=(g*dfdt-f*dgdt)/(dfdd*dgdt-dgdd*dfdt);
dt=(g*dfdd-f*dgdd)/(dfdt*dgdd-dgdt*dfdd);
tau_nxt=tau_prev+dt;
del_nxt=del_prev+dd;
if(fabs(dt)>fabs(dd))
maxd=fabs(dt);
else
maxd=fabs(dd);
i++;
// printf("........%lf,%lf\n",dt,dd);
}while(maxd>ERR&&i<100);
if(i==100||flag==-1)
{
continue;
}
else
{
if(!isnan(tau_nxt)&&!isnan(del_nxt))
{
t2=T_C/tau_nxt;
d2=r_c*del_nxt;
co2_prop_calc_tr(&prop,t2,d2);
if(is_vld_prop(&prop)==0&&fabs((h-prop.spe_enth)/h)<1e-4||fabs((s-prop.spe_entr)/h)<1e-4)
{
*temp=t2;
*dens=d2;
return 0;
}
else
continue;
}
}
}
}
// printf("::::::::%d,%d",t_index,d_index);
return -1;
}
int hs_find_tsat(double *t, double *x, double spe_enth, double spe_entr)
{
double tt1,tt2,ps1,ps2,xs1,xs2,xh1,xh2,ttm,psm,xhm,xsm;
double dl1,dg1,dl2,dg2,dml,dmg;
co2_prop pl,pg,pml,pmg;
int flag1,flag2,flag3;
int i=0;
tt1=T_t;
tt2=T_C;
if(calc_psat_t(&ps1,&dl1,&dg1,tt1)==-1)
{
*t=-1;
*x=-1;
return -1;
}
co2_prop_calc_tr(&pl,tt1,dl1);
co2_prop_calc_tr(&pg,tt1,dg1);
xs1=(spe_entr-pl.spe_entr)/(pg.spe_entr-pl.spe_entr);
xh1=(spe_enth-pl.spe_enth)/(pg.spe_enth-pg.spe_enth);
if(calc_psat_t(&ps2,&dl2,&dg2,tt2)==-1)
{
*t=-1;
*x=-1;
return -1;
}
co2_prop_calc_tr(&pl,tt2,dl2);
co2_prop_calc_tr(&pg,tt2,dg2);
xs2=(spe_entr-pl.spe_entr)/(pg.spe_entr-pl.spe_entr);
xh2=(spe_enth-pl.spe_enth)/(pg.spe_enth-pg.spe_enth);
// printf("\n%lf,%lf\n",xh2,xs2);
if((xh1-xs1)*(xh2-xs2)>0)
{
*t=-1;
*x=-1;
return -1;
}
do
{
ttm=0.5*(tt1+tt2);
// printf("\n............%lf\n",ttm);
if(calc_psat_t(&psm,&dml,&dmg,ttm)==-1)
{
*t=-1;
*x=-1;
return -1;
}
co2_prop_calc_tr(&pl,ttm,dml);
co2_prop_calc_tr(&pg,ttm,dmg);
xsm=(spe_entr-pl.spe_entr)/(pg.spe_entr-pl.spe_entr);
xhm=(spe_enth-pl.spe_enth)/(pg.spe_enth-pg.spe_enth);
// printf("\n...........%lf,%lf\n",xhm,xsm);
i++;
if(fabs(xhm-xsm)<1e-6)
{
*t=ttm;
*x=0.5*(xhm+xsm);
return 0;
}
else if((xhm-xsm)*(xh1-xs1)>0)
{
tt1=ttm;
}
else if((xhm-xsm)*(xh2-xs2)>0)
{
tt2=ttm;
}
}while(i<200);
if(i==200)
{
*t=-1;
*x=-1;
return -1;
}
}
void calcfg_dfg_ph(double *f, double *g, double *dfdt, double *dfdd, double *dgdt, double *dgdd, double tau, double del, double p, double h)
{
*f=del+del*del*phird(del,tau)-p*tau/(r_c*GAS_CONST_CO2*T_C);
*dfdt=del*del*phirdt(del,tau)-p/(r_c*GAS_CONST_CO2*T_C);
*dfdd=1+del*del*phirdd(del,tau)+2*del*phird(del,tau);
*g=1+tau*(phi0t(tau)+phirt(del,tau))+del*phird(del,tau)-h*tau/(GAS_CONST_CO2*T_C);
*dgdt=tau*(phi0tt(tau)+phirtt(del,tau))+phi0t(tau)+phirt(del,tau)+del*phirdt(del,tau)-h/(GAS_CONST_CO2*T_C);
*dgdd=tau*phirdt(del,tau)+del*phirdd(del,tau)+phird(del,tau);
}
int td_ph(double *temp, double *dens, double p, double h)
{
double tau_prev,tau_nxt;
double del_prev,del_nxt,t2,d2;
int i=0;
double f,g,dfdt,dgdt,dfdd,dgdd;
int t_index,d_index;
int flag=0;
double dt,dd,maxd,di;
co2_prop prop;
double tau_ini[10]={T_C/217,T_C/304,T_C/317,T_C/417,T_C/517,T_C/617,T_C/717,T_C/817,T_C/917,T_C/1017};
double del_ini[12]={
0.1/r_c,1300/r_c,10/r_c,1200/r_c,200/r_c,1000/r_c,300/r_c,1400/r_c,400/r_c,800/r_c,467/r_c,600/r_c,
};
for(t_index=0;t_index<10;t_index++)
{
for(d_index=0;d_index<12;d_index++)
{
// if(p>0.7e6)
// di=del_ini[i+1];
// else
di=del_ini[i];
// printf("\t%lf,%lf\n",pi_ini[p_index],tau_ini[t_index]);
calcfg_dfg_ph(&f,&g,&dfdt,&dfdd,&dgdt,&dgdd,tau_ini[t_index],di,p,h);
// printf("%\n!!!!!!%.8lf\t%.8lf\t%.8lf\t%.8lf\t%.8lf\t%.8lf\n\n",f,g,dfdt,dfdd,dgdt,dgdd);
if(fabs(dfdd*dgdt-dfdt*dgdd)<ERR)
{
continue;
}
dd=(g*dfdt-f*dgdt)/(dfdd*dgdt-dgdd*dfdt);
dt=(g*dfdd-f*dgdd)/(dfdt*dgdd-dgdt*dfdd);
tau_nxt=tau_ini[t_index]+dt;
del_nxt=del_ini[d_index]+dd;
flag=0;
i=0;
// printf("\n%.12lf\t%.12lf\n",dt,dd);
do
{
tau_prev=tau_nxt;
del_prev=del_nxt;
calcfg_dfg_ph(&f,&g,&dfdt,&dfdd,&dgdt,&dgdd,tau_prev,del_prev,p,h);
if(fabs(dfdd*dgdt-dfdt*dgdd)<ERR)
{
flag=-1;
break;
}
dd=(g*dfdt-f*dgdt)/(dfdd*dgdt-dgdd*dfdt);
dt=(g*dfdd-f*dgdd)/(dfdt*dgdd-dgdt*dfdd);
tau_nxt=tau_prev+dt;
del_nxt=del_prev+dd;
if(fabs(dt)>fabs(dd))
maxd=fabs(dt);
else
maxd=fabs(dd);
i++;
// printf("........%lf,%lf\n",dt,dd);
}while(maxd>ERR&&i<100);
if(i==100||flag==-1)
{
continue;
}
else
{
if(!isnan(tau_nxt)&&!isnan(del_nxt))
{
t2=T_C/tau_nxt;
d2=r_c*del_nxt;
co2_prop_calc_tr(&prop,t2,d2);
// printf("\n~~~~~~~~~~~~%d\n",is_vld_prop(&prop));
if(is_vld_prop(&prop)==0&&fabs(p-prop.pres)/p<1e-4&&fabs((h-prop.spe_enth)/h)<1e-4)
{
*temp=t2;
*dens=d2;
return 0;
}
else
continue;
}
}
}
}
// printf("::::::::%d,%d",t_index,d_index);
return -1;
}
void calcfg_dfg_ps(double *f, double *g, double *dfdt, double *dfdd, double *dgdt, double *dgdd, double tau, double del, double p, double s)
{
*f=del+del*del*phird(del,tau)-p*tau/(r_c*GAS_CONST_CO2*T_C);
*dfdt=del*del*phirdt(del,tau)-p/(r_c*GAS_CONST_CO2*T_C);
*dfdd=1+del*del*phirdd(del,tau)+2*del*phird(del,tau);
*g=tau*(phi0t(tau)+phirt(del,tau))-phi0(del,tau)-phir(del,tau)-s/GAS_CONST_CO2;
*dgdt=tau*(phi0tt(tau)+phirtt(del,tau));
*dgdd=tau*phirdt(del,tau)-phi0d(del)-phird(del,tau);
}
int td_ps(double *temp, double *dens, double p, double s)
{
double tau_prev,tau_nxt;
double del_prev,del_nxt,t2,d2;
int i=0;
double f,g,dfdt,dgdt,dfdd,dgdd;
int t_index,d_index;
int flag=0;
double dt,dd,maxd,di;
co2_prop prop;
double tau_ini[10]={T_C/217,T_C/304,T_C/317,T_C/417,T_C/517,T_C/617,T_C/717,T_C/817,T_C/917,T_C/1017};
double del_ini[12]={
0.1/r_c,1300/r_c,10/r_c,1200/r_c,200/r_c,1000/r_c,300/r_c,1400/r_c,400/r_c,800/r_c,467/r_c,600/r_c,
};
for(t_index=0;t_index<10;t_index++)
{
for(d_index=0;d_index<12;d_index++)
{
// if(p>0.7e6)
// di=del_ini[i+1];
// else
di=del_ini[i];
// printf("\t%lf,%lf\n",pi_ini[p_index],tau_ini[t_index]);
calcfg_dfg_ps(&f,&g,&dfdt,&dfdd,&dgdt,&dgdd,tau_ini[t_index],di,p,s);
// printf("%\n!!!!!!%.8lf\t%.8lf\t%.8lf\t%.8lf\t%.8lf\t%.8lf\n\n",f,g,dfdt,dfdd,dgdt,dgdd);
if(fabs(dfdd*dgdt-dfdt*dgdd)<ERR)
{
continue;
}
dd=(g*dfdt-f*dgdt)/(dfdd*dgdt-dgdd*dfdt);
dt=(g*dfdd-f*dgdd)/(dfdt*dgdd-dgdt*dfdd);
tau_nxt=tau_ini[t_index]+dt;
del_nxt=del_ini[d_index]+dd;
flag=0;
i=0;
// printf("\n%.12lf\t%.12lf\n",dt,dd);
do
{
tau_prev=tau_nxt;
del_prev=del_nxt;
calcfg_dfg_ps(&f,&g,&dfdt,&dfdd,&dgdt,&dgdd,tau_prev,del_prev,p,s);
if(fabs(dfdd*dgdt-dfdt*dgdd)<ERR)
{
flag=-1;
break;
}
dd=(g*dfdt-f*dgdt)/(dfdd*dgdt-dgdd*dfdt);
dt=(g*dfdd-f*dgdd)/(dfdt*dgdd-dgdt*dfdd);
tau_nxt=tau_prev+dt;
del_nxt=del_prev+dd;
if(fabs(dt)>fabs(dd))
maxd=fabs(dt);
else
maxd=fabs(dd);
i++;
// printf("........%lf,%lf\n",dt,dd);
}while(maxd>ERR&&i<100);
if(i==100||flag==-1)
{
continue;
}
else
{
if(!isnan(tau_nxt)&&!isnan(del_nxt))
{
t2=T_C/tau_nxt;
d2=r_c*del_nxt;
co2_prop_calc_tr(&prop,t2,d2);
if(is_vld_prop(&prop)==0&&fabs(p-prop.pres)/p<1e-4&&fabs((s-prop.spe_entr)/s)<1e-4)
{
*temp=t2;
*dens=d2;
return 0;
}
else
continue;
}
}
}
}
// printf("::::::::%d,%d",t_index,d_index);
return -1;
}
void print_prop_co2(co2_prop *prop)
{
printf("%lf\n%lf\n%lf\n%lf\n%lf\n%lf\n%lf\n%lf\n%lf\n",prop->pres,prop->temp,prop->dens,prop->spe_ener,prop->spe_enth,prop->spe_entr,prop->spe_h_v,prop->spe_h_p,prop->speed_sound);
printf("\n");
}
int co2_prop_calc_pt(co2_prop *prop, co2_prop *prop_bkp, double pres, double temp)
{
double dens,tsat,densl,densg,psat,densl2,densg2;
int flag,flag2;
prop->viscous=-1;
prop->thcond=-1;
prop_bkp->viscous=-1;
prop_bkp->thcond=-1;
if(pres<0&&temp<0)
{
return -1;
}
else if(pres<0&&temp>0)
{
flag=calc_psat_t(&psat,&densl,&densg,temp);
if(flag==-1)
return -1;
co2_prop_calc_tr(prop,temp,densl);
co2_prop_calc_tr(prop_bkp,temp,densg);
prop->vf=0;
prop_bkp->vf=1;
return 1;
}
else if(pres>0&&temp<0)
{
flag=calc_tsat_p(&tsat,&densl,&densg,pres);
if(flag==-1)
return -1;
co2_prop_calc_tr(prop,tsat,densl);
co2_prop_calc_tr(prop_bkp,tsat,densg);
prop->pres=pres;
prop_bkp->pres=pres;
prop->vf=0;
prop_bkp->vf=1;
return 1;
}
else
{
flag=calc_tsat_p(&tsat,&densl,&densg,pres);
// flag2=calc_psat_t(&psat,&densl2,&densg2,temp);
// printf("\n.....%lf,%lf,%lf,%d\n",tsat,temp,psat,flag);
if(flag==0&&fabs(tsat-temp)/tsat<1e-3)
{
co2_prop_calc_tr(prop,temp,densl);
co2_prop_calc_tr(prop_bkp,temp,densg);
prop->pres=pres;
prop->temp=temp;
prop_bkp->pres=pres;
prop_bkp->temp=temp;
prop->vf=0;
prop_bkp->vf=1;
// print_prop_co2(prop);
// print_prop_co2(prop_bkp);
return 1;
}
else