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24.2.3 Turbulence Equations

Sinks are added to all of the turbulence equations in the mushy and solidified zones to account for the presence of solid matter. The sink term is very similar to the momentum sink term (Equation  24.2-8):

 S=\frac{(1-\beta)^2}{(\beta^3 + \epsilon)} A_{\rm mush} \phi (24.2-9)

where $\phi$ represents the turbulence quantity being solved ( $k$, $\epsilon$, $\omega$, etc.), and the mushy zone constant, $A_{\rm mush}$, is the same as the one used in Equation  24.2-8.

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