Difference between revisions of "Contrib simpleScalarFoam"

Revision as of 11:56, 19 January 2009

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A steady-state incompressible laminar flow solver with scalar transport and mass transfer coefficient and Sherwood number calculation.

Do the following steps:

The solver is based on simpleFoam, with the transport of a scalar T having a mass diffusion coefficient $D_T$ :

$\nabla \cdot \left(\varphi T\right) - \nabla^2 \left( D_T \cdot T \right) = 0$

The mass transfer coefficient is determined at each wall by:

$k_c=-\frac{D_T}{T_b-T_{wall}} \frac{\partial T}{\partial y}|_{y=0}$

where $T_b$ is the bulk value of T, $T_{wall}$ is the value of T at the wall and y is the direction normal to the wall.

The Sherwood number is then determined by:

$Sh=\frac{k_c d}{D_T}$

where d is the characteristic dimension.

The most up-to-date version of the sources can be downloaded below:

@@ Line 16: / Line 16: @@
 == Physics ==
-The solver is based on simpleFoam, with
+The solver is based on simpleFoam, with the transport of a scalar ''T'' having a mass diffusion coefficient <math>D_T</math>:
 <math>
 \nabla \cdot \left(\varphi T\right) - \nabla^2 \left( D_T \cdot T \right) = 0
 </math>
+The mass transfer coefficient is determined at each wall by:
+<math>k_c=-\frac{D_T}{T_b-T_{wall}} \frac{\partial T}{\partial y}|_{y=0}</math>
+where <math>T_b</math> is the bulk value of ''T'', <math>T_{wall}</math> is the value of ''T'' at the wall and ''y'' is the direction normal to the wall.
+The Sherwood number is then determined by:
+<math>Sh=\frac{k_c d}{D_T}</math>
+where ''d'' is the characteristic dimension.
 == Download ==