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Clean up and Skeletal varying boundary conditions

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Yeongdo Park 2022-12-07 20:48:26 +09:00
parent 832d825dab
commit e3e6aef1ee
4 changed files with 2622 additions and 655 deletions
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594
AF-Calculator.ipynb Normal file
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "9e47daa3",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import cantera as ct\n",
"import pde\n",
"\n",
"import ipywidgets as widgets\n",
"\n",
"from matplotlib import pyplot as plt\n",
"%matplotlib widget"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "c49236bf",
"metadata": {},
"outputs": [],
"source": [
"from scipy import optimize as opt"
]
},
{
"cell_type": "markdown",
"id": "4b1f191f",
"metadata": {},
"source": [
"# 이론공연비 계산"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "60f9c29b",
"metadata": {},
"outputs": [],
"source": [
"def stoich_AF (fuel_compostion, mole_fraction=True):\n",
" \"Stoichiometric Air/Fuel ratio (volume)\"\n",
" \n",
" gas = ct.Solution('gri30.xml')\n",
"\n",
" if mole_fraction:\n",
" gas.TPX = 600 + 273.15, ct.one_atm, fuel_compostion\n",
" else:\n",
" gas.TPY = 600 + 273.15, ct.one_atm, fuel_compostion\n",
" \n",
" fuel_comp = gas.X\n",
"\n",
" # 연료의 원자 1 몰 완전 연소에 필요한 산소 원자 몰 수\n",
" coef_O = gas.elemental_mole_fraction('C') * 2 + gas.elemental_mole_fraction('H') / 2 - (gas.elemental_mole_fraction('O'))\n",
"\n",
" # 연료의 원자 1 몰 완전 연소에 필요한 공기 원자 몰 수 = 산소 원자 몰 수 X (1 + 3.762)\n",
" coef_N = coef_O * 3.762\n",
"\n",
" # 공기 1몰의 원자 몰수 = 2 ; O2 + N2 만으로 구성되었으면\n",
" mean_natoms_air = 2\n",
"\n",
" # 연료 기체 1몰의 원자 몰수 (평균 분자당 원자 수)\n",
" mean_natoms_fuel = sum([(gas.X[i] * sum([v for v in gas.species(i).composition.values()])) for i in range(gas.n_species)])\n",
"\n",
" # 연료 기체 1몰에 필요한 공기 몰수 ()\n",
" air_fuel_ratio_st = mean_natoms_fuel * (coef_N + coef_O) / mean_natoms_air\n",
"\n",
" return (air_fuel_ratio_st)\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "c633e758",
"metadata": {},
"outputs": [],
"source": [
"coke_oven_fuel = \"H2:6.42, O2:0.39, N2:47.28, CH4:1.79, CO:24.25, CO2:19.72, C2H4:0.13, C2H6:0.04\"\n",
"\n",
"air = ct.Solution('gri30.xml')\n",
"air.X = \"O2:1, N2:3.762\"\n",
"air_comp = air.X\n",
"\n",
"fuel = ct.Solution('gri30.xml')\n",
"fuel.X = coke_oven_fuel\n",
"fuel_comp = fuel.X"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "a20ce147",
"metadata": {},
"outputs": [],
"source": [
"def exhaust_stoichiometry (phi = 1, fuel=fuel_comp, return_unburned=False):\n",
"\n",
" mix = ct.Solution('gri30.xml')\n",
"\n",
" # mix.TPX = 25+273.15, ct.one_atm, phi * fuel_comp + st_AF * air_comp\n",
" \n",
" mix.set_equivalence_ratio(phi, fuel=fuel_comp, oxidizer=\"O2:0.21, N2:0.79\")\n",
" \n",
" element_X = {ename: mix.elemental_mole_fraction(ename) for ename in mix.element_names}\n",
" \n",
" exhaust = ct.Solution('gri30.xml')\n",
" exhaust.X = {\n",
" \"CO2\" : element_X['C'],\n",
" \"H2O\" : element_X['H']/2,\n",
" \"O2\" : (element_X['O'] - 2*element_X['C'] - element_X['H']/2)/2,\n",
" \"N2\" : element_X['N']/2,\n",
" }\n",
" \n",
" if return_unburned:\n",
" return mix.mole_fraction_dict(threshold=-1), exhaust.mole_fraction_dict(threshold=-1)\n",
" else:\n",
" return exhaust.mole_fraction_dict(threshold=-1)\n",
"\n",
"def exhaust_equilibrium (phi = 1):\n",
"\n",
" mix = ct.Solution('gri30.xml')\n",
"\n",
" mix.TPX = 25+273.15, ct.one_atm, phi * fuel_comp + st_AF * air_comp\n",
" \n",
" mix.equilibrate(\"HP\")\n",
" \n",
" return mix.mole_fraction_dict(threshold=-1)\n"
]
},
{
"cell_type": "markdown",
"id": "75feeff2",
"metadata": {},
"source": [
"# A/F 계산기"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "bf8c7fe0",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "6a0200388bb241a4bc4c75fb070af441",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(Textarea(value='H2:6.42, O2:0.39, N2:47.28, CH4:1.79, CO:24.25, CO2:19.72, C2H4:0.13, C2…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"@widgets.interact(\n",
" composition=widgets.Textarea(\n",
" value='H2:6.42, O2:0.39, N2:47.28, CH4:1.79, CO:24.25, CO2:19.72, C2H4:0.13, C2H6:0.04',\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",
" print(\"Fuel Gas\")\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, fuel=composition)[\"O2\"] - O2_in_exhaust/100, \n",
" bracket=[1e-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",
"id": "4c6c962f",
"metadata": {},
"source": [
"# 발열량 계산"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "6c0407fe",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" converged: True\n",
" flag: 'converged'\n",
" function_calls: 9\n",
" iterations: 8\n",
" root: 0.6547411452355204\n"
]
}
],
"source": [
"f_found = opt.root_scalar(lambda x: exhaust_stoichiometry(x)[\"O2\"] - 4.5/100, bracket=[1e-1, 1])\n",
"print(f_found)\n",
"phi_O2_045 = f_found.root"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "2f732468",
"metadata": {
"scrolled": false
},
"outputs": [],
"source": [
"Xu, Xb = exhaust_stoichiometry(phi=phi_O2_045, return_unburned=True)"
]
},
{
"cell_type": "markdown",
"id": "f7c5063d",
"metadata": {},
"source": [
"## 배가스 산소 농도 4.5% 연료+공기 혼합 기체 "
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "53b2c1b9",
"metadata": {},
"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 -4.43e+07 J\n",
" internal energy -1.6109e+06 -4.6779e+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 0.12361 -26.764\n",
" CH4 0.0041445 0.0075019 -57.401\n",
" CO 0.09803 0.10163 -70.646\n",
" CO2 0.12525 0.082647 -186.95\n",
" C2H4 0.00052635 0.00054483 -12.715\n",
" C2H6 0.00017359 0.00016764 -70.088\n",
" N2 0.6338 0.657 -23.453\n",
" [ +45 minor] 0 0 \n",
"\n"
]
}
],
"source": [
"gas_u = ct.Solution('gri30.xml')\n",
"gas_u.TPX = 25 + 273.15, ct.one_atm, Xu\n",
"gas_u()"
]
},
{
"cell_type": "markdown",
"id": "1d54eebc",
"metadata": {},
"source": [
"## 배가스 산소 농도 4.5% 완전 연소 배가스"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "a1bc3d15",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" gri30:\n",
"\n",
" temperature 298.15 K\n",
" pressure 1.0132e+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 -2.9804e+06 -9.2483e+07 J\n",
" internal energy -3.0603e+06 -9.4962e+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 0.026988 0.046486 -123.33\n",
" CO2 0.29281 0.20646 -186.03\n",
" N2 0.6338 0.70206 -23.387\n",
" [ +49 minor] 0 0 \n",
"\n"
]
}
],
"source": [
"gas_b = ct.Solution('gri30.xml')\n",
"gas_b.TPX = 25 + 273.15, ct.one_atm, Xb\n",
"gas_b()"
]
},
{
"cell_type": "markdown",
"id": "3e537f99",
"metadata": {},
"source": [
"## 배가스 산소 농도 4.5% 혼합 기체 kg 당 저위발열량 (J/kg)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "067ae187",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'1.454846654525596 MJ/kg'"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"heating_value_J_kg = gas_u.enthalpy_mass - gas_b.enthalpy_mass\n",
"f'{heating_value_J_kg*1e-6} MJ/kg'"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "f8713062",
"metadata": {},
"outputs": [],
"source": [
"heat_to_battery = 80 # GJ / Rev"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "42f68b81",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'3636.3636363636365 MJ / hr to a combustion chamber'"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"heat_to_chamber = heat_to_battery * 1000 * 3 / 66 # MJ / hr\n",
"f'{heat_to_chamber} MJ / hr to a combustion chamber'"
]
},
{
"cell_type": "markdown",
"id": "30be4bfc",
"metadata": {},
"source": [
"## 연소실당 질량 유량 kg/hr"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "fd85f6dc",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'2499.482419712063 (kg/hr) = 3636.3636363636365 (MJ/hr) / 1.454846654525596 (MJ/kg)'"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"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)'"
]
},
{
"cell_type": "markdown",
"id": "ed0ec84b",
"metadata": {},
"source": [
"# 단열 화염 온도 (평형 계산)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "fa7ef7a2",
"metadata": {},
"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 -8.933e+05 -2.7694e+07 J\n",
" internal energy -1.4271e+06 -4.4242e+07 J\n",
" entropy 8783.1 2.723e+05 J/K\n",
" Gibbs function -1.8374e+07 -5.6964e+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 6.6906e-05 0.00012965 -15.939\n",
" O2 0.045092 0.043688 -31.879\n",
" OH 0.00048958 0.00089246 -30.541\n",
" H2O 0.026691 0.045932 -45.143\n",
" CO 0.0010791 0.0011944 -41.097\n",
" CO2 0.29111 0.20507 -57.036\n",
" NO 0.0031141 0.0032175 -29.575\n",
" N2 0.63235 0.6998 -27.272\n",
" [ +45 minor] 8.9238e-06 7.3926e-05 \n",
"\n"
]
}
],
"source": [
"gas_chamber = ct.Solution('gri30.xml')\n",
"gas_chamber.TPX = 600 + 273.15, ct.one_atm, Xu\n",
"gas_chamber.equilibrate(\"HP\")\n",
"gas_chamber(threshold=1e-4)\n",
"\n",
"eq_state = gas_chamber.TPX\n",
"\n",
"Tad, P0, X0 = eq_state"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "1d6c95a7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Tad = 1717.118741092177 `C\n"
]
}
],
"source": [
"print(f'Tad = {eq_state[0] - 273.15} `C')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "e437f3b4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"NO: 3217.4895678195617 ppm\n"
]
}
],
"source": [
"print(f'NO: {gas_chamber.mole_fraction_dict()[\"NO\"] * 1e6} ppm')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.12"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {
"height": "calc(100% - 180px)",
"left": "10px",
"top": "150px",
"width": "384px"
},
"toc_section_display": true,
"toc_window_display": true
}
},
"nbformat": 4,
"nbformat_minor": 5
}

35
CokeOvenWallTemperature.csv Normal file
View file

@ -0,0 +1,35 @@
0.07088009450679156, 948.0069324090119
0.17720023626698111, 754.4771808203348
0.2658003544004721, 702.4841132293469
0.32782043709391573, 673.0213749277873
0.4075605434140579, 647.0248411322932
0.4873006497341992, 625.0722125938761
0.5936207914943878, 605.4303870595029
0.6999409332545774, 588.0993645291736
0.8417011222681623, 603.69728480647
0.9746012994683984, 620.4506065857884
1.125221500295333, 629.116117850953
1.3555818074424089, 628.538417099942
1.5150620200826923, 626.227614095898
1.6922622563496743, 638.9370306181395
1.887182516243354, 649.3356441363371
2.1707028942705247, 658.5788561525128
2.560543414057884, 673.0213749277873
3.419964559952745, 701.9064124783359
4.084465445953927, 720.3928365106872
4.837566450088599, 739.4569612940495
6.104548139397516, 766.0311958405543
6.990549320732426, 781.0514153668398
8.01831069108092, 796.0716348931252
9.223272297696397, 811.0918544194105
10.649734199645575, 826.112073945696
11.836975782634376, 837.0883882149044
12.784997046662728, 844.5984979780471
13.830478440637915, 852.1086077411899
15.079740106320138, 859.6187175043326
16.470761961015942, 867.1288272674753
17.95924394565859, 874.6389370306179
19.7844063792085, 882.1490467937607
21.786769049025395, 889.6591565569033
23.957471943295914, 896.5915655690351
28.10395747194329, 948.0069324090119
1 0.07088009450679156 948.0069324090119
2 0.17720023626698111 754.4771808203348
3 0.2658003544004721 702.4841132293469
4 0.32782043709391573 673.0213749277873
5 0.4075605434140579 647.0248411322932
6 0.4873006497341992 625.0722125938761
7 0.5936207914943878 605.4303870595029
8 0.6999409332545774 588.0993645291736
9 0.8417011222681623 603.69728480647
10 0.9746012994683984 620.4506065857884
11 1.125221500295333 629.116117850953
12 1.3555818074424089 628.538417099942
13 1.5150620200826923 626.227614095898
14 1.6922622563496743 638.9370306181395
15 1.887182516243354 649.3356441363371
16 2.1707028942705247 658.5788561525128
17 2.560543414057884 673.0213749277873
18 3.419964559952745 701.9064124783359
19 4.084465445953927 720.3928365106872
20 4.837566450088599 739.4569612940495
21 6.104548139397516 766.0311958405543
22 6.990549320732426 781.0514153668398
23 8.01831069108092 796.0716348931252
24 9.223272297696397 811.0918544194105
25 10.649734199645575 826.112073945696
26 11.836975782634376 837.0883882149044
27 12.784997046662728 844.5984979780471
28 13.830478440637915 852.1086077411899
29 15.079740106320138 859.6187175043326
30 16.470761961015942 867.1288272674753
31 17.95924394565859 874.6389370306179
32 19.7844063792085 882.1490467937607
33 21.786769049025395 889.6591565569033
34 23.957471943295914 896.5915655690351
35 28.10395747194329 948.0069324090119

1509
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1137
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