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/*
freesteam - IAPWS-IF97 steam tables library
Copyright (C) 2004-2009 John Pye
This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License
as published by the Free Software Foundation; either version 2
of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*/
#define FREESTEAM_BUILDING_LIB
#include "region.h"
static double gam(double pi, double tau);
static double gampi(double pi, double tau);
static double gampipi(double pi, double tau);
static double gamtau(double pi, double tau);
static double gamtautau(double pi, double tau);
static double gampitau(double pi, double tau);
#define REGION1_GPT_PSTAR 16.53e6 /* Pa */
#define REGION1_GPT_TSTAR 1386. /* K */
#define DEFINE_PITAU(P,T) \
double pi = p / REGION1_GPT_PSTAR; \
double tau = REGION1_GPT_TSTAR / T
#define R IAPWS97_R
#include <math.h>
/*---------------------------------------------------------------- */
/* REGION 1 G(p,T) EQUATIONS */
typedef struct{
int I, J;
double n;
} IJNData;
const IJNData REGION1_GPT_DATA[] = {
{0, -2, 0.14632971213167E+00}
,{0, -1, -0.84548187169114E+00}
,{0, 0, -0.37563603672040E+01}
,{0, 1, 0.33855169168385E+01}
,{0, 2, -0.95791963387872E+00}
,{0, 3, 0.15772038513228E+00}
,{0, 4, -0.16616417199501E-01}
,{0, 5, 0.81214629983568E-03}
,{1, -9, 0.28319080123804E-03}
,{1, -7, -0.60706301565874E-03}
,{1, -1, -0.18990068218419E-01}
,{1, 0, -0.32529748770505E-01}
,{1, 1, -0.21841717175414E-01}
,{1, 3, -0.52838357969930E-04}
,{2, -3, -0.47184321073267E-03}
,{2, 0, -0.30001780793026E-03}
,{2, 1, 0.47661393906987E-04}
,{2, 3, -0.44141845330846E-05}
,{2, 17, -0.72694996297594E-15}
,{3, -4, -0.31679644845054E-04}
,{3, 0, -0.28270797985312E-05}
,{3, 6, -0.85205128120103E-09}
,{4, -5, -0.22425281908000E-05}
,{4, -2, -0.65171222895601E-06}
,{4, 10, -0.14341729937924E-12}
,{5, -8, -0.40516996860117E-06}
,{8, -11, -0.12734301741641E-08}
,{8, -6, -0.17424871230634E-09}
,{21, -29, -0.68762131295531E-18}
,{23, -31, 0.14478307828521E-19}
,{29, -38, 0.26335781662795E-22}
,{30, -39, -0.11947622640071E-22}
,{31, -40, 0.18228094581404E-23}
,{32, -41, -0.93537087292458E-25}
};
const unsigned REGION1_GPT_MAX = sizeof(REGION1_GPT_DATA)/sizeof(IJNData);
#define REGION1_GPT_LOOP \
double sum = 0; \
const IJNData *d, *e = REGION1_GPT_DATA + REGION1_GPT_MAX; \
for(d = REGION1_GPT_DATA; d < e; ++d)
double gam(double pi, double tau){
REGION1_GPT_LOOP{
sum += d->n * ipow(7.1 - pi,d->I) * ipow(tau - 1.222,d->J);
}
return sum;
}
double gampi(double pi, double tau){
REGION1_GPT_LOOP{
sum += -d->n * d->I * ipow(7.1 - pi,d->I -1) * ipow(tau - 1.222,d->J);
}
return sum;
}
double gampipi(double pi, double tau){
REGION1_GPT_LOOP{
sum += d->n * d->I * (d->I - 1) * ipow(7.1 - pi, d->I - 2) * ipow(tau - 1.222, d->J);
}
return sum;
}
double gamtau(double pi, double tau){
REGION1_GPT_LOOP{
sum += d->n * ipow(7.1 - pi, d->I) * d->J * ipow(tau - 1.222, d->J - 1);
}
return sum;
}
double gamtautau(double pi, double tau){
REGION1_GPT_LOOP{
sum += d->n * ipow(7.1 - pi, d->I) * d->J * (d->J - 1) * ipow(tau - 1.222, d->J - 2);
}
return sum;
}
double gampitau(double pi, double tau){
REGION1_GPT_LOOP{
sum += -d->n * d->I * ipow(7.1 - pi, d->I - 1) * d->J * ipow(tau - 1.222, d->J - 1);
}
return sum;
}
double freesteam_region1_u_pT(double p, double T){
DEFINE_PITAU(P,T);
return (R * T) * (tau * gamtau(pi,tau) - pi * gampi(pi,tau));
}
double freesteam_region1_v_pT(double p, double T){
DEFINE_PITAU(P,T);
return (R * T / p) * pi * gampi(pi,tau);
}
double freesteam_region1_s_pT(double p, double T){
DEFINE_PITAU(P,T);
return R * (tau * gamtau(pi,tau) - gam(pi,tau));
}
double freesteam_region1_h_pT(double p, double T){
DEFINE_PITAU(P,T);
return R * T * (tau * gamtau(pi,tau));
}
double freesteam_region1_cp_pT(double p, double T){
DEFINE_PITAU(P,T);
return R * (-SQ(tau) * gamtautau(pi,tau));
}
double freesteam_region1_cv_pT(double p, double T){
DEFINE_PITAU(P,T);
return R * (-SQ(tau) * gamtautau(pi,tau) + SQ(gampi(pi,tau) -
tau * gampitau(pi,tau)) / gampipi(pi,tau)
);
}
double freesteam_region1_w_pT(double p, double T){
DEFINE_PITAU(P,T);
double gp = gampi(pi,tau);
return sqrt(R * T * SQ(gp) / \
(SQ(gp - tau*gampitau(pi,tau))/SQ(tau)/gamtautau(pi,tau) - gampipi(pi,tau))
);
}
double freesteam_region1_g_pT(double p, double T){
DEFINE_PITAU(p,T);
return R * T * gam(pi,tau);
}
double freesteam_region1_a_pT(double p, double T){
DEFINE_PITAU(p,T);
return R * T * (gam(pi,tau) - gampi(pi,tau) * pi);
}
double freesteam_region1_alphav_pT(double p, double T){
DEFINE_PITAU(P,T);
return 1./T * (1. - tau*gampitau(pi,tau)/gampi(pi,tau));
}
double freesteam_region1_kappaT_pT(double p, double T){
DEFINE_PITAU(P,T);
return -1./p * pi*gampipi(pi,tau)/gampi(pi,tau);
}
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