11 "The transport equation\n",
12 "======================\n",
15 " \\partial_t h + \\vec{u}\\cdot\\vec{\\nabla} h = \\Phi+\\lambda_{sf}(T_s-T)\n",
20 "- $ h $ the main unknown is the fluid enthalpy field\n",
21 "- $ \\vec{u} $ is the constant transport velocity set by the user\n",
22 "- $ \\Phi $ is the heat source term if explicitely known\n",
23 "- $ T_s $ is the rod temperature field provided by the user\n",
24 "- $ T=T_0+\\frac{h-h_0}{c_p}$ is the fluid temperature field\n",
25 "- $ \\lambda_{sf}$ is the fluid-rod heat transfer coefficient provided by the user\n",
26 "- $ c_p $ is the fluid specific heat, provided by the user and assumed constant\n",
30 "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",
32 "\\subpage ExampleTransportEqPage \"Here are C and Python example scripts\"\t\n",
37 "<IPython.core.display.Markdown object>"
41 "output_type": "display_data"
45 "from IPython.display import display, Markdown\n",
46 "display(Markdown('TransportEq.md'))"
52 "display_name": "Python 2",
61 "file_extension": ".py",
62 "mimetype": "text/x-python",
64 "nbconvert_exporter": "python",
65 "pygments_lexer": "ipython2",