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221202-2050: implement CombustionChamber-Brick interaction

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Yeongdo Park 2022-12-02 20:48:40 +09:00
parent d2525fe2f1
commit 56a55dff45
1 changed files with 472 additions and 60 deletions
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532
Oven Brick Model.ipynb
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@ -47,7 +47,7 @@
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@ -72,7 +72,7 @@
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@ -86,7 +86,7 @@
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"version_minor": 0 "version_minor": 0
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@ -916,14 +916,14 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 58, "execution_count": 66,
"id": "bf8c7fe0", "id": "bf8c7fe0",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
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"version_minor": 0 "version_minor": 0
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@ -967,7 +967,7 @@
" print(f'stoichiometric A/F = {AF_st}')\n", " print(f'stoichiometric A/F = {AF_st}')\n",
" \n", " \n",
" f_found = opt.root_scalar(lambda x: exhaust_stoichiometry(x)[\"O2\"] - O2_in_exhaust/100, \n", " f_found = opt.root_scalar(lambda x: exhaust_stoichiometry(x)[\"O2\"] - O2_in_exhaust/100, \n",
" bracket=[3e-1, 1])\n", " bracket=[1e-1, 1])\n",
" \n", " \n",
" # print(f_found)\n", " # print(f_found)\n",
" \n", " \n",
@ -991,7 +991,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 38,
"id": "2f732468", "id": "2f732468",
"metadata": { "metadata": {
"scrolled": false "scrolled": false
@ -1011,10 +1011,47 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 39,
"id": "53b2c1b9", "id": "53b2c1b9",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" gri30:\n",
"\n",
" temperature 298.15 K\n",
" pressure 1.0133e+05 Pa\n",
" density 1.1869 kg/m^3\n",
" mean mol. weight 29.039 kg/kmol\n",
" phase of matter gas\n",
"\n",
" 1 kg 1 kmol \n",
" --------------- ---------------\n",
" enthalpy -1.5255e+06 -4.4299e+07 J\n",
" internal energy -1.6109e+06 -4.6778e+07 J\n",
" entropy 6999.5 2.0326e+05 J/K\n",
" Gibbs function -3.6124e+06 -1.049e+08 J\n",
" heat capacity c_p 1027.5 29837 J/K\n",
" heat capacity c_v 741.17 21523 J/K\n",
"\n",
" mass frac. Y mole frac. X chem. pot. / RT\n",
" --------------- --------------- ---------------\n",
" H2 0.0018679 0.026906 -19.333\n",
" O2 0.1362 0.1236 -26.764\n",
" CH4 0.0041445 0.0075018 -57.401\n",
" CO 0.098029 0.10163 -70.646\n",
" CO2 0.12525 0.082645 -186.95\n",
" C2H4 0.00052634 0.00054482 -12.715\n",
" C2H6 0.00017359 0.00016764 -70.088\n",
" N2 0.63381 0.657 -23.453\n",
" [ +45 minor] 0 0 \n",
"\n"
]
}
],
"source": [ "source": [
"gas_u = ct.Solution('gri30.xml')\n", "gas_u = ct.Solution('gri30.xml')\n",
"gas_u.TPX = 25 + 273.15, ct.one_atm, Xu\n", "gas_u.TPX = 25 + 273.15, ct.one_atm, Xu\n",
@ -1031,10 +1068,43 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 40,
"id": "a1bc3d15", "id": "a1bc3d15",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" gri30:\n",
"\n",
" temperature 298.15 K\n",
" pressure 1.0133e+05 Pa\n",
" density 1.2684 kg/m^3\n",
" mean mol. weight 31.031 kg/kmol\n",
" phase of matter gas\n",
"\n",
" 1 kg 1 kmol \n",
" --------------- ---------------\n",
" enthalpy -2.9803e+06 -9.2481e+07 J\n",
" internal energy -3.0602e+06 -9.496e+07 J\n",
" entropy 6565.1 2.0372e+05 J/K\n",
" Gibbs function -4.9377e+06 -1.5322e+08 J\n",
" heat capacity c_p 997.71 30960 J/K\n",
" heat capacity c_v 729.77 22645 J/K\n",
"\n",
" mass frac. Y mole frac. X chem. pot. / RT\n",
" --------------- --------------- ---------------\n",
" O2 0.046403 0.045 -27.775\n",
" H2O 0.026987 0.046486 -123.33\n",
" CO2 0.2928 0.20645 -186.03\n",
" N2 0.63381 0.70206 -23.387\n",
" [ +49 minor] 0 0 \n",
"\n"
]
}
],
"source": [ "source": [
"gas_b = ct.Solution('gri30.xml')\n", "gas_b = ct.Solution('gri30.xml')\n",
"gas_b.TPX = 25 + 273.15, ct.one_atm, Xb\n", "gas_b.TPX = 25 + 273.15, ct.one_atm, Xb\n",
@ -1051,10 +1121,21 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 41,
"id": "067ae187", "id": "067ae187",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"data": {
"text/plain": [
"'1.454825772118082 MJ/kg'"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [ "source": [
"heating_value_J_kg = gas_u.enthalpy_mass - gas_b.enthalpy_mass\n", "heating_value_J_kg = gas_u.enthalpy_mass - gas_b.enthalpy_mass\n",
"f'{heating_value_J_kg*1e-6} MJ/kg'" "f'{heating_value_J_kg*1e-6} MJ/kg'"
@ -1062,7 +1143,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 42,
"id": "f8713062", "id": "f8713062",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
@ -1072,10 +1153,21 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 43,
"id": "42f68b81", "id": "42f68b81",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"data": {
"text/plain": [
"'3636.3636363636365 MJ / hr to a combustion chamber'"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [ "source": [
"heat_to_chamber = heat_to_battery * 1000 * 3 / 66 # MJ / hr\n", "heat_to_chamber = heat_to_battery * 1000 * 3 / 66 # MJ / hr\n",
"f'{heat_to_chamber} MJ / hr to a combustion chamber'" "f'{heat_to_chamber} MJ / hr to a combustion chamber'"
@ -1091,10 +1183,21 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 44,
"id": "fd85f6dc", "id": "fd85f6dc",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"data": {
"text/plain": [
"'2499.5182970050437 (kg/hr) = 3636.3636363636365 (MJ/hr) / 1.454825772118082 (MJ/kg)'"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [ "source": [
"mfr_to_chamber = heat_to_chamber * 1e6 / heating_value_J_kg # kg / hr\n", "mfr_to_chamber = heat_to_chamber * 1e6 / heating_value_J_kg # kg / hr\n",
"f'{mfr_to_chamber} (kg/hr) = {heat_to_chamber} (MJ/hr) / {heating_value_J_kg * 1e-6} (MJ/kg)'" "f'{mfr_to_chamber} (kg/hr) = {heat_to_chamber} (MJ/hr) / {heating_value_J_kg * 1e-6} (MJ/kg)'"
@ -1110,10 +1213,47 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 45,
"id": "fa7ef7a2", "id": "fa7ef7a2",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" gri30:\n",
"\n",
" temperature 1990.3 K\n",
" pressure 1.0133e+05 Pa\n",
" density 0.18983 kg/m^3\n",
" mean mol. weight 31.002 kg/kmol\n",
" phase of matter gas\n",
"\n",
" 1 kg 1 kmol \n",
" --------------- ---------------\n",
" enthalpy -8.9328e+05 -2.7694e+07 J\n",
" internal energy -1.427e+06 -4.4241e+07 J\n",
" entropy 8783.1 2.7229e+05 J/K\n",
" Gibbs function -1.8374e+07 -5.6963e+08 J\n",
" heat capacity c_p 1347.2 41767 J/K\n",
" heat capacity c_v 1079 33452 J/K\n",
"\n",
" mass frac. Y mole frac. X chem. pot. / RT\n",
" --------------- --------------- ---------------\n",
" O 6.69e-05 0.00012964 -15.939\n",
" O2 0.045092 0.043688 -31.879\n",
" OH 0.00048954 0.00089239 -30.541\n",
" H2O 0.02669 0.045932 -45.143\n",
" CO 0.001079 0.0011942 -41.097\n",
" CO2 0.29111 0.20507 -57.036\n",
" NO 0.003114 0.0032174 -29.575\n",
" N2 0.63235 0.6998 -27.272\n",
" [ +45 minor] 8.9232e-06 7.3917e-05 \n",
"\n"
]
}
],
"source": [ "source": [
"gas_chamber = ct.Solution('gri30.xml')\n", "gas_chamber = ct.Solution('gri30.xml')\n",
"gas_chamber.TPX = 600 + 273.15, ct.one_atm, Xu\n", "gas_chamber.TPX = 600 + 273.15, ct.one_atm, Xu\n",
@ -1127,30 +1267,73 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 46,
"id": "1d6c95a7", "id": "1d6c95a7",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Tad = 1717.1055126606984 `C\n"
]
}
],
"source": [ "source": [
"print(f'Tad = {eq_state[0] - 273.15} `C')" "print(f'Tad = {eq_state[0] - 273.15} `C')"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 47,
"id": "e437f3b4", "id": "e437f3b4",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"NO: 3217.3809731942233 ppm\n"
]
}
],
"source": [ "source": [
"print(f'NO: {gas_chamber.mole_fraction_dict()[\"NO\"] * 1e6} ppm')" "print(f'NO: {gas_chamber.mole_fraction_dict()[\"NO\"] * 1e6} ppm')"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 48,
"id": "683e1479", "id": "683e1479",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"564968.6851296029 1057170.3471485006\n",
"258568.46996560355\n",
"239.0022179980857 1363443.6972422504\n",
"-612434.5630397515\n",
"400326.765370211 1148091.5363109885\n",
"3005.361043723591\n",
"398382.53608438675 1149155.5265008416\n",
"-2.858431953645777\n",
"398384.3836843984 1149154.51548965\n",
"0.000179249735083431\n",
"398384.3835685452 1149154.5155530453\n",
"8.731149137020111e-10\n",
"398384.38356854365 1149154.515553046\n",
"-1.6298145055770874e-09\n",
"496.511875 converged: True\n",
" flag: 'converged'\n",
" function_calls: 7\n",
" iterations: 6\n",
" root: 1558.4107622013973\n",
"Outlet Gas Temperature: 1285.2607622013975 `C\n"
]
}
],
"source": [ "source": [
"htc = 568 # W / m2 / K\n", "htc = 568 # W / m2 / K\n",
"\n", "\n",
@ -1193,7 +1376,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 49,
"id": "badfe727", "id": "badfe727",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
@ -1209,8 +1392,7 @@
" \n", " \n",
" def energy_balance_equation (Tout, Twall0, Twall1):\n", " def energy_balance_equation (Tout, Twall0, Twall1):\n",
" # mdot * (dh) - self.heat()\n", " # mdot * (dh) - self.heat()\n",
" pass\n", " pass \n",
" \n",
" \n", " \n",
" def solve (self, ):\n", " def solve (self, ):\n",
" pass\n", " pass\n",
@ -1218,8 +1400,32 @@
" def heat (self, Tgas, Twall0, Twall1):\n", " def heat (self, Tgas, Twall0, Twall1):\n",
" # Tgas = (T0 + T1) / 2\n", " # Tgas = (T0 + T1) / 2\n",
" # heat_to_Twall0 + heat_to_Twall1\n", " # heat_to_Twall0 + heat_to_Twall1\n",
" pass\n", " pass\n"
" " ]
},
{
"cell_type": "code",
"execution_count": null,
"id": "50208cd7",
"metadata": {},
"outputs": [],
"source": [
"chamber = CombustionChamber()\n",
"wall0 = Brick()\n",
"wall1 = Brick()\n",
"# Iterate\n",
"# Integrate for 1 timestep\n",
"chamber.solve()\n",
"\n",
"wall0.heat_to_coke()\n",
"wall1.heat_to_coke()\n",
"\n",
"wall0.update_coke_side() coke_model.brick_temperature(cum_heat)\n",
"wall1.update_coke_side() coke_model.brick_temperature(cum_heat)\n",
" \n",
"wall0.solve() # advance 1 timestep\n",
"wall1.solve() # advance 1 timestep\n",
"\n"
] ]
}, },
{ {
@ -1232,10 +1438,18 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 50,
"id": "858a862e", "id": "858a862e",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"346.5 Mcal / ton\n"
]
}
],
"source": [ "source": [
"# 50'C 장입탄 1 톤을 1100'C 코크스로 건류시키기 위해 필요한 열량\n", "# 50'C 장입탄 1 톤을 1100'C 코크스로 건류시키기 위해 필요한 열량\n",
"heat_coking_mcal_per_ton = (1100 - 50) * 0.33 # Mcal / t-c\n", "heat_coking_mcal_per_ton = (1100 - 50) * 0.33 # Mcal / t-c\n",
@ -1244,10 +1458,18 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 51,
"id": "d9a3443d", "id": "d9a3443d",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"925.2 Mcal / ton\n"
]
}
],
"source": [ "source": [
"# 50`C 물 1톤을 800`C 수증기로 증발하는데 필요한 열량\n", "# 50`C 물 1톤을 800`C 수증기로 증발하는데 필요한 열량\n",
"# 액체 가열 + 증발 + 증기 가열\n", "# 액체 가열 + 증발 + 증기 가열\n",
@ -1258,10 +1480,18 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 52,
"id": "bc35e30a", "id": "bc35e30a",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"90.223776 GJ / charge\n"
]
}
],
"source": [ "source": [
"# 1~4 기 장입 습탄 34 톤 중 수분 5.9% (2 톤) 제외 건탄 32 톤\n", "# 1~4 기 장입 습탄 34 톤 중 수분 5.9% (2 톤) 제외 건탄 32 톤\n",
"# 1 문당 장입에서 추출까지 필요한 열량\n", "# 1 문당 장입에서 추출까지 필요한 열량\n",
@ -1272,7 +1502,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 53,
"id": "c5a556cd", "id": "c5a556cd",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
@ -1282,10 +1512,18 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 54,
"id": "2b8e5d35", "id": "2b8e5d35",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"59.4 rev / charge\n"
]
}
],
"source": [ "source": [
"# 건류 시간 동안 rev 횟수\n", "# 건류 시간 동안 rev 횟수\n",
"n_rev_total = 3 * 24 * 66 / 80\n", "n_rev_total = 3 * 24 * 66 / 80\n",
@ -1296,10 +1534,21 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 55,
"id": "9e3eee55", "id": "9e3eee55",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"data": {
"text/plain": [
"'100.24864 GJ / rev'"
]
},
"execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [ "source": [
"# 66 문에 rev 당 공급되는 열량\n", "# 66 문에 rev 당 공급되는 열량\n",
"f'{66 * heat_total_gj / n_rev_total} GJ / rev'" "f'{66 * heat_total_gj / n_rev_total} GJ / rev'"
@ -1307,7 +1556,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 56,
"id": "4ae27703", "id": "4ae27703",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
@ -1317,7 +1566,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 57,
"id": "d552c14d", "id": "d552c14d",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
@ -1327,20 +1576,57 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 58,
"id": "c4d73576", "id": "c4d73576",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"data": {
"text/plain": [
"<cantera.liquidvapor.Water.<locals>.WaterWithTransport at 0x1e52f2f99e0>"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [ "source": [
"water" "water"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 59,
"id": "4c82456a", "id": "4c82456a",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" water:\n",
"\n",
" temperature 313.15 K\n",
" pressure 1.0132e+05 Pa\n",
" density 992.27 kg/m^3\n",
" mean mol. weight 18.016 kg/kmol\n",
" vapor fraction 0\n",
" phase of matter liquid\n",
"\n",
" 1 kg 1 kmol \n",
" --------------- ---------------\n",
" enthalpy -1.5803e+07 -2.8471e+08 J\n",
" internal energy -1.5803e+07 -2.8471e+08 J\n",
" entropy 4092.4 73728 J/K\n",
" Gibbs function -1.7085e+07 -3.078e+08 J\n",
" heat capacity c_p 4175.6 75228 J/K\n",
" heat capacity c_v 4067.9 73288 J/K\n",
"\n"
]
}
],
"source": [ "source": [
"water.TP = 40 + 273.15, ct.one_atm\n", "water.TP = 40 + 273.15, ct.one_atm\n",
"\n", "\n",
@ -1349,10 +1635,36 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 60,
"id": "9dd982a4", "id": "9dd982a4",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" water:\n",
"\n",
" temperature 313.15 K\n",
" pressure 7367.2 Pa\n",
" density 0.051107 kg/m^3\n",
" mean mol. weight 18.016 kg/kmol\n",
" vapor fraction 1\n",
" phase of matter liquid-gas-mix\n",
"\n",
" 1 kg 1 kmol \n",
" --------------- ---------------\n",
" enthalpy -1.3397e+07 -2.4135e+08 J\n",
" internal energy -1.3541e+07 -2.4395e+08 J\n",
" entropy 11778 2.1219e+05 J/K\n",
" Gibbs function -1.7085e+07 -3.078e+08 J\n",
" heat capacity c_p 1884.7 33955 J/K\n",
" heat capacity c_v 1414.4 25481 J/K\n",
"\n"
]
}
],
"source": [ "source": [
"water.TQ = 40 + 273.15, 1\n", "water.TQ = 40 + 273.15, 1\n",
"h_vapor = water.enthalpy_mass\n", "h_vapor = water.enthalpy_mass\n",
@ -1361,10 +1673,36 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 61,
"id": "70b5436f", "id": "70b5436f",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" water:\n",
"\n",
" temperature 313.15 K\n",
" pressure 7367.2 Pa\n",
" density 992.23 kg/m^3\n",
" mean mol. weight 18.016 kg/kmol\n",
" vapor fraction 0\n",
" phase of matter liquid-gas-mix\n",
"\n",
" 1 kg 1 kmol \n",
" --------------- ---------------\n",
" enthalpy -1.5803e+07 -2.8471e+08 J\n",
" internal energy -1.5803e+07 -2.8471e+08 J\n",
" entropy 4092.4 73729 J/K\n",
" Gibbs function -1.7085e+07 -3.078e+08 J\n",
" heat capacity c_p 4176.1 75236 J/K\n",
" heat capacity c_v 4067.9 73287 J/K\n",
"\n"
]
}
],
"source": [ "source": [
"water.TQ = 40 + 273.15, 0\n", "water.TQ = 40 + 273.15, 0\n",
"h_water = water.enthalpy_mass\n", "h_water = water.enthalpy_mass\n",
@ -1373,20 +1711,57 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 62,
"id": "1c18625b", "id": "1c18625b",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"data": {
"text/plain": [
"2406727.679574404"
]
},
"execution_count": 62,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [ "source": [
"h_vapor - h_water" "h_vapor - h_water"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 63,
"id": "17f8781a", "id": "17f8781a",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" water:\n",
"\n",
" temperature 282.88 K\n",
" pressure 1.0133e+05 Pa\n",
" density 999.71 kg/m^3\n",
" mean mol. weight 18.016 kg/kmol\n",
" vapor fraction 0\n",
" phase of matter liquid\n",
"\n",
" 1 kg 1 kmol \n",
" --------------- ---------------\n",
" enthalpy -1.593e+07 -2.8699e+08 J\n",
" internal energy -1.593e+07 -2.8699e+08 J\n",
" entropy 3667 66064 J/K\n",
" Gibbs function -1.6967e+07 -3.0568e+08 J\n",
" heat capacity c_p 4201.1 75688 J/K\n",
" heat capacity c_v 4197.7 75626 J/K\n",
"\n"
]
}
],
"source": [ "source": [
"water.TP = 40+273.15, ct.one_atm\n", "water.TP = 40+273.15, ct.one_atm\n",
"h0 = water.enthalpy_mass\n", "h0 = water.enthalpy_mass\n",
@ -1396,10 +1771,36 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 64,
"id": "f4e62efb", "id": "f4e62efb",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" water:\n",
"\n",
" temperature 338.15 K\n",
" pressure 24986 Pa\n",
" density 0.16107 kg/m^3\n",
" mean mol. weight 18.016 kg/kmol\n",
" vapor fraction 1\n",
" phase of matter liquid-gas-mix\n",
"\n",
" 1 kg 1 kmol \n",
" --------------- ---------------\n",
" enthalpy -1.3353e+07 -2.4056e+08 J\n",
" internal energy -1.3508e+07 -2.4335e+08 J\n",
" entropy 11352 2.0451e+05 J/K\n",
" Gibbs function -1.7191e+07 -3.0972e+08 J\n",
" heat capacity c_p 1926.9 34715 J/K\n",
" heat capacity c_v 1443.6 26008 J/K\n",
"\n"
]
}
],
"source": [ "source": [
"water.TQ = 65 + 273.15, 1\n", "water.TQ = 65 + 273.15, 1\n",
"water()" "water()"
@ -1407,10 +1808,21 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": null, "execution_count": 65,
"id": "54881653", "id": "54881653",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [
{
"data": {
"text/plain": [
"0.8110541903465941"
]
},
"execution_count": 65,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [ "source": [
"20 / (24986 / ct.one_atm * 100)" "20 / (24986 / ct.one_atm * 100)"
] ]