The energy transport equation based on enthalpy is given as follows:
\[\frac{\partial \rho h}{\partial t} + \div (\rho \u h) + \frac{\partial \rho K}{\partial t} + \div (\rho \u K) - \frac{\partial p}{\partial t} - \div (\alpha_{eff} \grad h) = \rho \u \cdot \vec{g} + f_{rad}(h) + \vec{S}_{\rho, h}\]The energy transport equation based on internal energy is given as follows:
\[\frac{\partial \rho e}{\partial t} + \div (\rho \u e) + \frac{\partial \rho K}{\partial t} + \div (\rho \u K) + \div (p \u) - \div (\alpha_{eff} \grad e) = \rho \u \cdot \vec{g} + f_{rad}(e) + \vec{S}_{\rho, e}\]where:
| Property | Description |
|---|---|
| \(t\) | Time |
| \(\rho\) | Density |
| \(h\) | Enthalpy |
| \(e\) | Internal energy |
| \(\u\) | Velocity |
| \(K\) | Kinetic energy |
| \(p\) | Pressure |
| \(\alpha_{eff}\) | Effective thermal diffusivity |
| \(\vec{g}\) | Gravitational acceleration |
| \(f_{rad}\) | Radiation function |
| \(\vec{S}\) | Source term through fvOption
|
