Difference between revisions of "Contrib/CompressibleMixingPhaseChangeFoam"

Revision as of 20:13, 28 December 2012

Solver for two fluids with phase change (for example - water <---> steam), pressure and temperature density dependence

Model Equations

Equation of state
Liquid volume transport

Let us consider transport of liquid (heavy phase) volume fraction $\alpha_l$ :

$\frac{\partial \alpha_l \rho_l}{\partial t} + \nabla \cdot \left ( \alpha_l \rho_l \mathbf{U} \right ) = \dot m_l$

By converting to volume fluxes we get:

$\frac {\partial \alpha_l}{\partial t} + \nabla \cdot \left ( \alpha_l \mathbf{U} \right ) = \frac {\alpha_l}{\rho_l} \frac {d \rho_l}{dt} + \frac {\dot m_l}{\rho_l}$

Using equation of state, we can reformulate substantial derivative for density in terms of pressure for any phase:

$\frac {d \rho}{dt}= \frac {d \hat \rho} {dt}$

* Phase change model
* Momentum equation
* Energy equation

Solver sources and tutorials located here

@@ Line 24: / Line 24: @@
 \right )
 = \frac {\alpha_l}{\rho_l} \frac {d \rho_l}{dt} + \frac {\dot m_l}{\rho_l}
+</math>
+Using equation of state, we can reformulate substantial derivative for density in terms of pressure for any phase:
+<math>
+\frac {d \rho}{dt}= \frac {d \hat \rho} {dt}
 </math>