221201-2120: implement CombustionChamber class

This commit is contained in:
Yeongdo Park 2022-12-01 21:19:03 +09:00
parent 65bb12b4f5
commit d2525fe2f1

View file

@ -11,6 +11,8 @@
"import cantera as ct\n", "import cantera as ct\n",
"import pde\n", "import pde\n",
"\n", "\n",
"import ipywidgets as widgets\n",
"\n",
"from matplotlib import pyplot as plt\n", "from matplotlib import pyplot as plt\n",
"%matplotlib widget" "%matplotlib widget"
] ]
@ -45,7 +47,7 @@
{ {
"data": { "data": {
"application/vnd.jupyter.widget-view+json": { "application/vnd.jupyter.widget-view+json": {
"model_id": "ed6ee54043434154a827020efbee7467", "model_id": "c7038d50268541e680fd49194661f002",
"version_major": 2, "version_major": 2,
"version_minor": 0 "version_minor": 0
}, },
@ -70,7 +72,7 @@
{ {
"data": { "data": {
"application/vnd.jupyter.widget-view+json": { "application/vnd.jupyter.widget-view+json": {
"model_id": "8e7a0d0a9f784ebdaf657d3722690175", "model_id": "dd4bd23cf2e546b9a7bd17b74f5769f2",
"version_major": 2, "version_major": 2,
"version_minor": 0 "version_minor": 0
}, },
@ -84,7 +86,7 @@
{ {
"data": { "data": {
"application/vnd.jupyter.widget-view+json": { "application/vnd.jupyter.widget-view+json": {
"model_id": "21a25e45f3a846e5bd8e8097e7a36359", "model_id": "f7e512a0f1b44f1ab67d93d7d9043b19",
"version_major": 2, "version_major": 2,
"version_minor": 0 "version_minor": 0
}, },
@ -904,6 +906,81 @@
"h2.thermo.h(25+273.15)" "h2.thermo.h(25+273.15)"
] ]
}, },
{
"cell_type": "markdown",
"id": "75feeff2",
"metadata": {},
"source": [
"# A/F 계산기"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "bf8c7fe0",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "e44ad08b1cf141639749b2aca1c1b6d7",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(Textarea(value='', description='Fuel Composition:', placeholder='\"species_name_0:X0, spe…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"@widgets.interact(\n",
" composition=widgets.Textarea(\n",
" value='',\n",
" placeholder='\"species_name_0:X0, species_name_1:X1, species_name_2:X2, ... \"',\n",
" description='''Fuel Composition:''',\n",
" disabled=False\n",
"),\n",
" O2_in_exhaust=widgets.FloatSlider(\n",
" value=0,\n",
" min=0,\n",
" max=21.0,\n",
" step=0.1,\n",
" description='excess O2(%)',\n",
" readout=True,\n",
" readout_format='.1f',\n",
")\n",
")\n",
"def calculate_AF (composition, O2_in_exhaust):\n",
" gas = ct.Solution('gri30.xml')\n",
" try:\n",
" gas.TPX = 300, ct.one_atm, composition\n",
" except ct.CanteraError:\n",
" gas.TPX = 300, ct.one_atm, \"H2:1\"\n",
" \n",
" gas()\n",
" \n",
" AF_st = stoich_AF(composition)\n",
" \n",
" print(f'stoichiometric A/F = {AF_st}')\n",
" \n",
" f_found = opt.root_scalar(lambda x: exhaust_stoichiometry(x)[\"O2\"] - O2_in_exhaust/100, \n",
" bracket=[3e-1, 1])\n",
" \n",
" # print(f_found)\n",
" \n",
" phi = f_found.root\n",
" print(f_found)\n",
" print(f'phi for {O2_in_exhaust}% O2 in exhaust gas = {phi}')\n",
" print(f'A/F(vol) for {O2_in_exhaust}% O2 in exhaust gas = {AF_st / phi}')\n",
" # mean molecular weight needed to calc mass A/F\n",
"\n",
" gas.TPX = 300, ct.one_atm, exhaust_stoichiometry(phi)\n",
" gas()"
]
},
{ {
"cell_type": "markdown", "cell_type": "markdown",
"id": "4c6c962f", "id": "4c6c962f",
@ -914,7 +991,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 37, "execution_count": null,
"id": "2f732468", "id": "2f732468",
"metadata": { "metadata": {
"scrolled": false "scrolled": false
@ -934,47 +1011,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 38, "execution_count": null,
"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",
@ -991,43 +1031,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 39, "execution_count": null,
"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",
@ -1044,21 +1051,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 46, "execution_count": null,
"id": "067ae187", "id": "067ae187",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [],
{
"data": {
"text/plain": [
"'1.454825772118082 MJ/kg'"
]
},
"execution_count": 46,
"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'"
@ -1066,7 +1062,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 41, "execution_count": null,
"id": "f8713062", "id": "f8713062",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
@ -1076,21 +1072,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 42, "execution_count": null,
"id": "42f68b81", "id": "42f68b81",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [],
{
"data": {
"text/plain": [
"'3636.3636363636365 MJ / hr to a combustion chamber'"
]
},
"execution_count": 42,
"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'"
@ -1106,21 +1091,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 43, "execution_count": null,
"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": 43,
"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)'"
@ -1136,47 +1110,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 49, "execution_count": null,
"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",
@ -1190,73 +1127,30 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 87, "execution_count": null,
"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": 89, "execution_count": null,
"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": 103, "execution_count": null,
"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",
@ -1310,8 +1204,21 @@
" self.T0 = T0\n", " self.T0 = T0\n",
" self.P0 = P0\n", " self.P0 = P0\n",
" self.X0 = X0\n", " self.X0 = X0\n",
" self.gas = ct.Solution(\"gri30.xml\")\n",
" self.h0 = 0\n",
" \n", " \n",
" def balance_energy_equation (Tout, Twall0, Twall1):\n", " def energy_balance_equation (Tout, Twall0, Twall1):\n",
" # mdot * (dh) - self.heat()\n",
" pass\n",
" \n",
" \n",
" def solve (self, ):\n",
" pass\n",
" \n",
" def heat (self, Tgas, Twall0, Twall1):\n",
" # Tgas = (T0 + T1) / 2\n",
" # heat_to_Twall0 + heat_to_Twall1\n",
" pass\n",
" " " "
] ]
}, },
@ -1325,18 +1232,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 77, "execution_count": null,
"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",
@ -1345,18 +1244,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 78, "execution_count": null,
"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",
@ -1367,18 +1258,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 79, "execution_count": null,
"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",
@ -1389,7 +1272,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 80, "execution_count": null,
"id": "c5a556cd", "id": "c5a556cd",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
@ -1399,18 +1282,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 81, "execution_count": null,
"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",
@ -1421,21 +1296,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 82, "execution_count": null,
"id": "9e3eee55", "id": "9e3eee55",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [],
{
"data": {
"text/plain": [
"'100.24864 GJ / rev'"
]
},
"execution_count": 82,
"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'"
@ -1443,7 +1307,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 83, "execution_count": null,
"id": "4ae27703", "id": "4ae27703",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
@ -1453,7 +1317,7 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 90, "execution_count": null,
"id": "d552c14d", "id": "d552c14d",
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
@ -1463,72 +1327,20 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 91, "execution_count": null,
"id": "c4d73576", "id": "c4d73576",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [],
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" water:\n",
"\n",
" temperature 300 K\n",
" pressure 1.0132e+05 Pa\n",
" density 996.63 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 -1.5858e+07 -2.857e+08 J\n",
" internal energy -1.5858e+07 -2.857e+08 J\n",
" entropy 3913.2 70500 J/K\n",
" Gibbs function -1.7032e+07 -3.0685e+08 J\n",
" heat capacity c_p 4180.8 75321 J/K\n",
" heat capacity c_v 4131 74424 J/K\n",
"\n"
]
}
],
"source": [ "source": [
"water" "water"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 93, "execution_count": null,
"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",
@ -1537,36 +1349,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 97, "execution_count": null,
"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",
@ -1575,36 +1361,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 98, "execution_count": null,
"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",
@ -1613,57 +1373,20 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 99, "execution_count": null,
"id": "1c18625b", "id": "1c18625b",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [],
{
"data": {
"text/plain": [
"2406727.679574404"
]
},
"execution_count": 99,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [ "source": [
"h_vapor - h_water" "h_vapor - h_water"
] ]
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 100, "execution_count": null,
"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",
@ -1673,36 +1396,10 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 104, "execution_count": null,
"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()"
@ -1710,32 +1407,13 @@
}, },
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 106, "execution_count": null,
"id": "54881653", "id": "54881653",
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [],
{
"data": {
"text/plain": [
"0.8110541903465941"
]
},
"execution_count": 106,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [ "source": [
"20 / (24986 / ct.one_atm * 100)" "20 / (24986 / ct.one_atm * 100)"
] ]
},
{
"cell_type": "code",
"execution_count": null,
"id": "38f04ea4",
"metadata": {},
"outputs": [],
"source": []
} }
], ],
"metadata": { "metadata": {