{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "The transport equation\n", "======================\n", " \n", "$$\n", " \\partial_t h + \\vec{u}\\cdot\\vec{\\nabla} h = \\Phi+\\lambda_{sf}(T_s-T)\n", "$$\n", "\n", "where\n", "\n", "- $ h $ the main unknown is the fluid enthalpy field\n", "- $ \\vec{u} $ is the constant transport velocity set by the user\n", "- $ \\Phi $ is the heat source term if explicitely known\n", "- $ T_s $ is the rod temperature field provided by the user\n", "- $ T=T_0+\\frac{h-h_0}{c_p}$ is the fluid temperature field\n", "- $ \\lambda_{sf}$ is the fluid-rod heat transfer coefficient provided by the user\n", "- $ c_p $ is the fluid specific heat, provided by the user and assumed constant\n", "\n", "\n", "\n", "The class [TransportEquation](../../Models/inc/TransportEquation.hxx) implements a scalar advection equation for the enthalpy of a fluid. The fluid can be either steam or liquid water around 1 bar or 155 bars. \n", "\n", "\\subpage ExampleTransportEqPage \"Here are C and Python example scripts\"\t\n", "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.display import display, Markdown\n", "display(Markdown('TransportEq.md'))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 2 }