| 1 |
jpye |
1833 |
#include "ammonia.h" |
| 2 |
|
|
|
| 3 |
jpye |
1835 |
|
| 4 |
|
|
/** |
| 5 |
|
|
Ideal gas data for Ammonia, from Tillner-Roth, Harms-Watzenberg and |
| 6 |
jpye |
1833 |
Baehr, 'Eine neue Fundamentalgleichung f端r Ammoniak', DKV-Tagungsbericht, |
| 7 |
|
|
20:167-181, 1993. This is the ammmonia property correlation recommended |
| 8 |
jpye |
1835 |
by NIST in its program REFPROP 7.0. |
| 9 |
|
|
*/ |
| 10 |
|
|
const IdealData ideal_data_ammonia = { |
| 11 |
|
|
-15.815020 /* const */ |
| 12 |
|
|
, 4.255726 /* linear */ |
| 13 |
|
|
, 3 /* power terms */ |
| 14 |
|
|
, (const IdealPowTerm[]){ |
| 15 |
|
|
{11.474340, 1./3 } |
| 16 |
|
|
,{-1.296211, -3./2.} |
| 17 |
|
|
,{0.5706757, -7./4.} |
| 18 |
|
|
} |
| 19 |
|
|
, 0, (const IdealExpTerm *)0 /* no exponential terms */ |
| 20 |
|
|
}; |
| 21 |
|
|
|
| 22 |
jpye |
1833 |
|
| 23 |
jpye |
1835 |
/** |
| 24 |
|
|
Residual (non-ideal) property data for Ammonia, from Tillner-Roth, |
| 25 |
|
|
Harms-Watzenberg and Baehr, 'Eine neue Fundamentalgleichung f端r Ammoniak', |
| 26 |
|
|
DKV-Tagungsbericht, 20:167-181, 1993. This is the ammmonia property correlation |
| 27 |
|
|
recommended by NIST in its program REFPROP 7.0. |
| 28 |
|
|
*/ |
| 29 |
jpye |
1833 |
const HelmholtzData helmholtz_data_ammonia = { |
| 30 |
|
|
/* R */ 488.189 /* J/kg/K */ |
| 31 |
|
|
, /* M */ 17.03026 /* kg/kmol */ |
| 32 |
|
|
, /* rho_star */225. /* kg/m続 */ |
| 33 |
|
|
, /* T_star */ 405.40 /* K */ |
| 34 |
jpye |
1835 |
, &ideal_data_ammonia |
| 35 |
|
|
, 21 /* nr */ |
| 36 |
jpye |
1833 |
, (const HelmholtzATDL[]){ |
| 37 |
|
|
/* a_i, t_i, d_i, l_i */ |
| 38 |
|
|
{0.4554431E-1, -0.5 , 2, 0}/* 1 */ |
| 39 |
|
|
,{0.7238548E+0, 0.5 , 1, 0 } |
| 40 |
|
|
,{0.1229470E-1, 1 , 4, 0 } |
| 41 |
|
|
,{-0.1858814E+1, 1.5 , 1, 0 } |
| 42 |
|
|
,{0.2141882E-10, 3 , 15, 0 }/* 5 */ |
| 43 |
|
|
,{-0.1430020E-1, 0 , 3, 1 } |
| 44 |
|
|
,{0.3441324E+0, 3 , 3, 1 } |
| 45 |
|
|
,{-0.2873571E+0, 4 , 1, 1 } |
| 46 |
|
|
,{0.2352589E-4, 4 , 8, 1 } |
| 47 |
|
|
,{-0.3497111E-1, 5 , 2, 1}/* 10 */ |
| 48 |
|
|
,{0.2397852E-1, 3 , 1, 2} |
| 49 |
|
|
,{0.1831117E-2, 5 , 8, 2} |
| 50 |
|
|
,{-0.4085375E-1, 6 , 1, 2} |
| 51 |
|
|
,{0.2379275E+0, 8 , 2, 2} |
| 52 |
|
|
,{-0.3548972E-1, 8 , 3, 2}/* 15 */ |
| 53 |
|
|
,{-0.1823729E+0, 10, 2, 2} |
| 54 |
|
|
,{0.2281556E-1, 10 , 4, 2} |
| 55 |
|
|
,{-0.6663444E-2, 5 , 3, 3} |
| 56 |
|
|
,{-0.8847486E-2, 7.5, 1, 3} |
| 57 |
|
|
,{0.2272635E-2 , 15 , 2, 3}/* 20 */ |
| 58 |
|
|
,{-0.5588655E-3, 30, 4, 3} |
| 59 |
|
|
} |
| 60 |
|
|
}; |
| 61 |
|
|
|
| 62 |
|
|
|
| 63 |
|
|
/* |
| 64 |
|
|
Test suite. These tests attempt to validate the current code using |
| 65 |
|
|
a few sample figures output by REFPROP 7.0. |
| 66 |
|
|
|
| 67 |
|
|
To run the test, compile and run as follows: |
| 68 |
|
|
|
| 69 |
|
|
gcc helmholtz.c ammonia.c -DTEST -o ammonia -lm && ./ammonia |
| 70 |
|
|
|
| 71 |
|
|
These tests all currently pass with a maximum error of 2%. The error |
| 72 |
|
|
seems to arise in the enthalpy data for low temperatures. Haven't been |
| 73 |
|
|
able to determine where the problem comes from. |
| 74 |
|
|
*/ |
| 75 |
|
|
#ifdef TEST |
| 76 |
|
|
|
| 77 |
|
|
#include <assert.h> |
| 78 |
|
|
#include <stdlib.h> |
| 79 |
|
|
#include <stdio.h> |
| 80 |
|
|
#include <math.h> |
| 81 |
|
|
|
| 82 |
|
|
/* a simple macro to actually do the testing */ |
| 83 |
|
|
#define ASSERT_TOL(EXPR,VAL,TOL) {\ |
| 84 |
|
|
double cval; cval = (EXPR);\ |
| 85 |
|
|
double err; err = cval - (double)(VAL);\ |
| 86 |
|
|
double relerrpc = (cval-(VAL))/(VAL)*100;\ |
| 87 |
|
|
if(fabs(relerrpc)>maxerr)maxerr=fabs(relerrpc);\ |
| 88 |
|
|
if(fabs(err)>TOL){\ |
| 89 |
|
|
fprintf(stderr,"ERROR in line %d: value of '%s' = %f, should be %f, error is %f (%.2f%%)!\n"\ |
| 90 |
|
|
, __LINE__, #EXPR, cval, VAL,cval-(VAL),relerrpc);\ |
| 91 |
|
|
exit(1);\ |
| 92 |
|
|
}else{\ |
| 93 |
|
|
fprintf(stderr," OK, %s = %8.2e with %.2f%% err.\n",#EXPR,VAL,relerrpc);\ |
| 94 |
|
|
/*fprintf(stderr," (err = %8.2e, tol = %8.2e, calc = %8.2e)\n",fabs(err),TOL,cval);*/\ |
| 95 |
|
|
}\ |
| 96 |
|
|
} |
| 97 |
|
|
|
| 98 |
|
|
int main(void){ |
| 99 |
|
|
double rho, T, p, h, u; |
| 100 |
|
|
const HelmholtzData *d; |
| 101 |
|
|
|
| 102 |
|
|
d = &helmholtz_data_ammonia; |
| 103 |
|
|
double maxerr = 0; |
| 104 |
|
|
|
| 105 |
|
|
fprintf(stderr,"PRESSURE TESTS\n"); |
| 106 |
|
|
|
| 107 |
|
|
fprintf(stderr,"p(T,rho) = 0.1 MPa\n"); |
| 108 |
|
|
ASSERT_TOL(helmholtz_p(273.15 -70,724.74783,d), 0.1E6, 1E3); |
| 109 |
|
|
ASSERT_TOL(helmholtz_p(273.15 -60,713.64815,d), 0.1E6, 1E3); |
| 110 |
|
|
ASSERT_TOL(helmholtz_p(273.15 -50,702.11130,d), 0.1E6, 1E3); |
| 111 |
|
|
ASSERT_TOL(helmholtz_p(273.15 -40,690.16351,d), 0.1E6, 1E3); |
| 112 |
|
|
ASSERT_TOL(helmholtz_p(273.15 -33.588341,682.29489,d), 0.1E6,1E3); |
| 113 |
|
|
ASSERT_TOL(helmholtz_p(273.15+ 0,0.76123983,d), 0.1E6, 1E3); |
| 114 |
|
|
ASSERT_TOL(helmholtz_p(273.15+100,0.55135,d), 0.1E6, 1E3); |
| 115 |
|
|
ASSERT_TOL(helmholtz_p(273.15+250,0.39203,d), 0.1E6, 1E3); |
| 116 |
|
|
ASSERT_TOL(helmholtz_p(273.15+420,0.29562,d), 0.1E6, 1E3); |
| 117 |
|
|
|
| 118 |
|
|
fprintf(stderr,"p(T,rho) = 1 MPa\n"); |
| 119 |
|
|
ASSERT_TOL(helmholtz_p(273.15 -70,725.05815,d), 1E6, 1E3); |
| 120 |
|
|
ASSERT_TOL(helmholtz_p(273.15+ 0,638.97275,d), 1E6, 1E3); |
| 121 |
|
|
ASSERT_TOL(helmholtz_p(273.15+ 30,7.5736465,d), 1E6, 1E3); |
| 122 |
|
|
ASSERT_TOL(helmholtz_p(273.15+150,4.9816537,d), 1E6, 1E3); |
| 123 |
|
|
ASSERT_TOL(helmholtz_p(273.15+200,4.4115,d), 1E6, 1E3); |
| 124 |
|
|
ASSERT_TOL(helmholtz_p(273.15+350,3.3082,d), 1E6, 1E3); |
| 125 |
|
|
ASSERT_TOL(helmholtz_p(273.15+420,2.9670,d), 1E6, 1E3); |
| 126 |
|
|
|
| 127 |
|
|
fprintf(stderr,"p(T,rho) = 10 MPa\n"); |
| 128 |
|
|
ASSERT_TOL(helmholtz_p(273.15+-40.,694.67407,d), 10E6, 1E3); |
| 129 |
|
|
ASSERT_TOL(helmholtz_p(273.15+-20.,670.54741,d), 10E6, 1E3); |
| 130 |
|
|
ASSERT_TOL(helmholtz_p(273.15+50,573.07306,d), 10E6, 1E3); |
| 131 |
|
|
ASSERT_TOL(helmholtz_p(273.15+110,441.76869,d), 10E6, 1E3); |
| 132 |
|
|
ASSERT_TOL(helmholtz_p(273.15+150,74.732,d), 10E6, 1E3); |
| 133 |
|
|
ASSERT_TOL(helmholtz_p(273.15+200,54.389,d), 10E6, 1E3); |
| 134 |
|
|
ASSERT_TOL(helmholtz_p(273.15+350,35.072,d), 10E6, 1E3); |
| 135 |
|
|
ASSERT_TOL(helmholtz_p(273.15+420,30.731,d), 10E6, 1E3); |
| 136 |
|
|
|
| 137 |
|
|
fprintf(stderr,"p(T,rho) = 20 MPa\n"); |
| 138 |
|
|
ASSERT_TOL(helmholtz_p(273.15+150,359.40683,d), 20E6, 1E4); |
| 139 |
|
|
ASSERT_TOL(helmholtz_p(273.15+200,152.83430,d), 20E6, 1E4); |
| 140 |
|
|
ASSERT_TOL(helmholtz_p(273.15+350,74.590236,d), 20E6, 1E4); |
| 141 |
|
|
ASSERT_TOL(helmholtz_p(273.15+420,63.601873,d), 20E6, 1E4); |
| 142 |
|
|
|
| 143 |
|
|
//fprintf(stderr,"IDEAL HELMHOLTZ COMPONENT\n"); |
| 144 |
|
|
//ASSERT_TOL(helm_ideal(273.15, 0) |
| 145 |
|
|
|
| 146 |
|
|
fprintf(stderr,"ENTHALPY TESTS\n"); |
| 147 |
|
|
|
| 148 |
|
|
/* this offset is required to attain agreement with values from REFPROP */ |
| 149 |
|
|
double Z = -1635.7e3 + 1492.411e3; |
| 150 |
|
|
|
| 151 |
|
|
fprintf(stderr,"h(T,rho) at p = 0.1 MPa\n"); |
| 152 |
|
|
ASSERT_TOL(helmholtz_h(273.15+-60, 713.65,d), Z+75.166e3, 0.2e3); |
| 153 |
|
|
ASSERT_TOL(helmholtz_h(273.15+ 0,0.76124,d), Z+1635.7e3, 0.2e3); |
| 154 |
|
|
ASSERT_TOL(helmholtz_h(273.15+ 50,0.63869,d), Z+1744.0e3, 0.2e3); |
| 155 |
|
|
ASSERT_TOL(helmholtz_h(273.15+200,0.43370,d), Z+2087.0e3, 0.2e3); |
| 156 |
|
|
ASSERT_TOL(helmholtz_h(273.15+300,0.35769,d), Z+2340.0e3, 1e3); |
| 157 |
|
|
ASSERT_TOL(helmholtz_h(273.15+420,0.29562,d), Z+2674.3e3, 1e3); |
| 158 |
|
|
|
| 159 |
|
|
fprintf(stderr,"h(T,rho) at p = 1 MPa\n"); |
| 160 |
|
|
ASSERT_TOL(helmholtz_h(273.15+150,4.9817,d), Z+1949.1e3, 1e3); |
| 161 |
|
|
ASSERT_TOL(helmholtz_h(273.15+200,4.4115,d), Z+2072.7e3, 1e3); |
| 162 |
|
|
ASSERT_TOL(helmholtz_h(273.15+350,3.3082,d), Z+2468.2e3, 1e3); |
| 163 |
|
|
ASSERT_TOL(helmholtz_h(273.15+420,2.9670,d), Z+2668.6e3, 1e3); |
| 164 |
|
|
|
| 165 |
|
|
fprintf(stderr,"h(T,rho) at p = 10 MPa\n"); |
| 166 |
|
|
ASSERT_TOL(helmholtz_h(273.15+-50,706.21,d), Z+127.39e3, 2e3); |
| 167 |
|
|
ASSERT_TOL(helmholtz_h(273.15+-0,645.04,d), Z+349.53e3, 2e3); |
| 168 |
|
|
|
| 169 |
|
|
ASSERT_TOL(helmholtz_h(273.15+150,74.732,d), Z+1688.5e3, 1e3); |
| 170 |
|
|
ASSERT_TOL(helmholtz_h(273.15+200,54.389,d), Z+1908.0e3, 1e3); |
| 171 |
|
|
ASSERT_TOL(helmholtz_h(273.15+350,35.072,d), Z+2393.4e3, 1e3); |
| 172 |
|
|
ASSERT_TOL(helmholtz_h(273.15+420,30.731,d), Z+2611.8e3, 1e3); |
| 173 |
|
|
|
| 174 |
|
|
fprintf(stderr,"h(T,rho) at p = 20 MPa\n"); |
| 175 |
|
|
/* note rather larger errors in the following few lines -- why? */ |
| 176 |
|
|
ASSERT_TOL(helmholtz_h(273.15 -70,731.41,d), Z+51.734e3, 0.5e3); |
| 177 |
|
|
ASSERT_TOL(helmholtz_h(273.15 -60,721.00318,d), Z+93.871419e3, 0.5e3); |
| 178 |
|
|
ASSERT_TOL(helmholtz_h(273.15 -50,710.19289,d), Z+136.54351e3, 1e3); |
| 179 |
|
|
ASSERT_TOL(helmholtz_h(273.15 -40,699.02472,d), Z+179.72030e3, 0.5e3); |
| 180 |
|
|
ASSERT_TOL(helmholtz_h(273.15+ 30,612.22,d), Z+493.28e3, 0.5e3); |
| 181 |
|
|
ASSERT_TOL(helmholtz_h(273.15+150,359.40683,d), Z+1162.5e3, 0.5e3); |
| 182 |
|
|
ASSERT_TOL(helmholtz_h(273.15+200,152.83430,d), Z+1662.9e3, 0.5e3); |
| 183 |
|
|
ASSERT_TOL(helmholtz_h(273.15+250,106.31299,d), Z+1928.6499e3, 0.5e3); |
| 184 |
|
|
ASSERT_TOL(helmholtz_h(273.15+300,86.516941,d), Z+2128.9031e3, 0.5e3); |
| 185 |
|
|
ASSERT_TOL(helmholtz_h(273.15+330,78.784703,d), Z+2238.2416e3, 0.5e3); |
| 186 |
|
|
ASSERT_TOL(helmholtz_h(273.15+350,74.590236,d), Z+2308.8516e3, 10e3); |
| 187 |
|
|
ASSERT_TOL(helmholtz_h(273.15+420,63.601873,d), Z+2549.2872e3, 10e3); |
| 188 |
|
|
|
| 189 |
|
|
fprintf(stderr,"h(T,rho) at p = 100 MPa\n"); |
| 190 |
|
|
ASSERT_TOL(helmholtz_h(273.15+ 0,690.41,d), Z+422.69e3, 0.5e3); |
| 191 |
|
|
ASSERT_TOL(helmholtz_h(273.15+100,591.07,d), Z+850.44e3, 0.1e3); |
| 192 |
|
|
ASSERT_TOL(helmholtz_h(273.15+250,437.69,d), Z+1506.6e3, 1e3); |
| 193 |
|
|
ASSERT_TOL(helmholtz_h(273.15+420,298.79,d), Z+2252.3e3, 1e3); |
| 194 |
|
|
|
| 195 |
jpye |
1835 |
|
| 196 |
|
|
|
| 197 |
|
|
fprintf(stderr,"ENTROPY TESTS\n"); |
| 198 |
|
|
|
| 199 |
|
|
/* offset required to attain agreement with REFPROP */ |
| 200 |
|
|
double Y = -471.596704; |
| 201 |
|
|
|
| 202 |
|
|
fprintf(stderr,"s(T,rho) at p = 0.1 MPa\n"); |
| 203 |
|
|
ASSERT_TOL(helmholtz_s(273.15+-60, 713.65,d), Y+0.36737e3, 0.5); |
| 204 |
|
|
ASSERT_TOL(helmholtz_s(273.15+ 0,0.76124,d), Y+6.8900e3, 0.5); |
| 205 |
|
|
ASSERT_TOL(helmholtz_s(273.15+ 50,0.63869,d), Y+7.2544e3, 0.5); |
| 206 |
|
|
ASSERT_TOL(helmholtz_s(273.15+200,0.43370,d), Y+8.1232e3, 0.5); |
| 207 |
|
|
ASSERT_TOL(helmholtz_s(273.15+300,0.35769,d), Y+8.6084e3, 1); |
| 208 |
|
|
ASSERT_TOL(helmholtz_s(273.15+420,0.29562,d), Y+9.1365e3, 1); |
| 209 |
|
|
|
| 210 |
|
|
fprintf(stderr,"s(T,rho) at p = 1 MPa\n"); |
| 211 |
|
|
ASSERT_TOL(helmholtz_s(273.15+-50,702.49,d), Y+0.56381e3, 0.5); |
| 212 |
|
|
ASSERT_TOL(helmholtz_s(273.15+150,4.9817,d), Y+6.7008e3, 0.5); |
| 213 |
|
|
ASSERT_TOL(helmholtz_s(273.15+200,4.4115,d), Y+6.9770e3, 0.5); |
| 214 |
|
|
ASSERT_TOL(helmholtz_s(273.15+350,3.3082,d), Y+7.7012e3, 0.5); |
| 215 |
|
|
ASSERT_TOL(helmholtz_s(273.15+420,2.9670,d), Y+8.0059e3, 0.5); |
| 216 |
|
|
|
| 217 |
|
|
fprintf(stderr,"s(T,rho) at p = 10 MPa\n"); |
| 218 |
|
|
ASSERT_TOL(helmholtz_s(273.15+-70,728.11,d), Y+0.14196e3, 1); |
| 219 |
|
|
ASSERT_TOL(helmholtz_s(273.15+-50,706.21,d), Y+0.54289e3, 1); |
| 220 |
|
|
ASSERT_TOL(helmholtz_s(273.15+-20,670.55,d), Y+1.0975e3, 1); |
| 221 |
|
|
ASSERT_TOL(helmholtz_s(273.15+ 0,645.04,d), Y+1.4403e3, 1); |
| 222 |
|
|
ASSERT_TOL(helmholtz_s(273.15+125.17,356.70,d), Y+3.5463e3, 1); |
| 223 |
|
|
|
| 224 |
|
|
ASSERT_TOL(helmholtz_s(273.15+125.17,121.58,d), Y+4.5150e3, 1); |
| 225 |
|
|
ASSERT_TOL(helmholtz_s(273.15+200,54.389,d), Y+5.5906e3, 1); |
| 226 |
|
|
ASSERT_TOL(helmholtz_s(273.15+350,35.072,d), Y+6.4850e3, 1); |
| 227 |
|
|
ASSERT_TOL(helmholtz_s(273.15+420,30.731,d), Y+6.8171e3, 1); |
| 228 |
|
|
|
| 229 |
|
|
fprintf(stderr,"s(T,rho) at p = 20 MPa\n"); |
| 230 |
|
|
ASSERT_TOL(helmholtz_s(273.15+-50,710.19,d), Y+0.52061e3, 1); |
| 231 |
|
|
ASSERT_TOL(helmholtz_s(273.15+ 30,612.22,d), Y+1.8844e3, 1); |
| 232 |
|
|
ASSERT_TOL(helmholtz_s(273.15+150,359.41,d), Y+3.7164e3, 1); |
| 233 |
|
|
ASSERT_TOL(helmholtz_s(273.15+200,152.83,d), Y+4.8376e3, 1); |
| 234 |
|
|
ASSERT_TOL(helmholtz_s(273.15+350,74.590,d), Y+6.0407e3, 1); |
| 235 |
|
|
ASSERT_TOL(helmholtz_s(273.15+420,63.602,d), Y+6.4066e3, 1); |
| 236 |
|
|
|
| 237 |
|
|
fprintf(stderr,"s(T,rho) at p = 100 MPa\n"); |
| 238 |
|
|
ASSERT_TOL(helmholtz_s(273.15+ 0,690.41,d), Y+1.2158e3, 1); |
| 239 |
|
|
ASSERT_TOL(helmholtz_s(273.15+100,591.07,d), Y+2.5499e3, 1); |
| 240 |
|
|
ASSERT_TOL(helmholtz_s(273.15+250,437.69,d), Y+4.0264e3, 1); |
| 241 |
|
|
ASSERT_TOL(helmholtz_s(273.15+420,298.79,d), Y+5.2620e3, 1); |
| 242 |
|
|
|
| 243 |
|
|
/* successful entropy tests means that helm_ideal_tau, helm_real_tau, helm_ideal and helm_resid are all OK */ |
| 244 |
|
|
|
| 245 |
jpye |
1833 |
fprintf(stderr,"Tests completed OK (maximum error = %0.2f%%)\n",maxerr); |
| 246 |
|
|
exit(0); |
| 247 |
|
|
} |
| 248 |
|
|
#endif |
Parent Directory
| 
Revision Log