{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Thickened flame" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The thickness model is explained in Theoretical and Numerical Combustion, T. Poinsot, D. Veynante. If you want more information about theory, please refer to this book.\n", "\n", "The thickness value implemented in CERFACS Cantera version is constant. It is set by writing :\n", "

f.flame.thick = thickness_value

\n", "with f being the Freeflame object." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Useful imports and vector/plot initialization" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "from cantera import *\n", "import matplotlib.pylab as plt\n", "import numpy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Setup of premixed flame" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "p = 101325 # pressure\n", "tin = 300.0 # unburned gas temperature\n", "phi = 0.8 # equivalence ratio" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Gas initialization" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "gas = Solution('BFER_methane.cti')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. Gas dependent useful object" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "m = gas.n_species\n", "x = zeros(m,'d')\n", "fuel_species = 'CH4'\n", "ifuel = gas.species_index(fuel_species)\n", "io2 = gas.species_index('O2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Fixed grid and simulation parameters" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "refine_grid = \"disabled\"\n", "tol_ss = [1.0e-5, 1.0e-8] # [rtol atol] for steady-state problem\n", "tol_ts = [1.0e-5, 1.0e-8] # [rtol atol] for time stepping\n", "loglevel = 1 # amount of diagnostic output (0 to 5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6. Thickening " ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "n_points = 1000\n", "F = [1.0, 2.0, 5.0, 10.0, 15.0, 20.0]\n", "temperature = []\n", "position = []\n", "\n", "for ind_thick, thick in enumerate(F):\n", " gas.set_equivalence_ratio(phi, 'CH4:1', 'O2:1.0, N2:3.76')\n", " gas.TP = tin, p\n", " initial_grid = np.linspace(0, 0.02, int(1000/thick))\n", " f = FreeFlame(gas, grid=initial_grid)\n", " \n", " # This is where thickening is applied\n", " f.flame.thick = thick\n", " \n", " f.energy_enabled = True\n", " f.flame.set_steady_tolerances(default=tol_ss)\n", " f.flame.set_transient_tolerances(default=tol_ts)\n", " f.inlet.X = gas.X\n", " f.inlet.T = tin\n", " f.set_refine_criteria(ratio = 7.0, slope = 1, curve = 1)\n", " f.set_max_jac_age(50, 50)\n", " f.set_time_step(5.e-06, [10, 20, 80]) #s\n", " f.set_refine_criteria(ratio = 2.0, slope = 0.02, curve = 0.02, prune = 0.01)\n", " f.solve(loglevel, refine_grid)\n", "\n", " temperature.append(f.T)\n", " position.append(f.flame.grid)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(18,16))\n", "a=fig.add_subplot(111)\n", "for ind_thick, thick in enumerate(F):\n", " a.plot(position[ind_thick],temperature[ind_thick], label=\"F = \"+str(thick))\n", "plt.title(r'$T_{adiabatic}$ vs. Position', fontsize=25)\n", "plt.xlabel(r'Position [m]', fontsize=20)\n", "plt.ylabel(\"Adiabatic Flame Temperature [K]\", fontsize=20)\n", "plt.xticks(fontsize=15)\n", "plt.yticks(fontsize=15)\n", "a.xaxis.set_major_locator(MaxNLocator(10)) # this controls the number of tick marks on the axis\n", "plt.legend(fontsize=15)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 2 }