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UDF for momentum source term

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Old   December 6, 2014, 07:24
Default UDF for momentum source term
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How can I write UDF for the source term (formulation given below) in the x-momentum equation of the solid phase in a Eularian multiphase flow in Fluent?

-e^150(ε-0.6)*∂ε/∂x + b[∂/∂x (∂u/∂x) + ∂/∂y {1/2(∂u/∂y+∂v/∂x)} + ∂/∂z {1/2(∂u/∂z+∂w/∂x)}]

In the above expression ε is the solid volume fraction, b is a constant.

The above term contains ∂ε/∂x which is unavailable as gradient vector macro in UDF manual. How to calculate this term in UDF? Also, I need to know about how to calculate terms like ∂/∂x(∂u/∂x) etc.

Please help.
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euler euler solid-gas, momentum equation, udf

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