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Multiphase modelling of dense suspension help

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I was going through the Multiphase model of dense suspensions tutorial and have a doubt in some of the steps. For the uniform concentration, there is no term "eps" in the expression for gamma. But in Case 2 there is a term eps added to it.

What does this eps stand for? I assumed it was the turbulent dissipation rate, but we are working in the laminar flow regime.

Also, in the equations given in the model there is a term mdc/rhod and mdc/rhoc about which there is no mention in the tutorial pdf file. Is that taken as 0.

I would also like to add small alterations to the equations in this model to suit the system im working on. Solving PDEs from scratch seems a daunting task to me. All ive got to know about modifying equations is that I should go to the equations view. Is it the week function section that I have to modify. I am not able to decipher the syntax of the expressions. Does anyone have links to materials I could go through to understand the syntax of week functions or rather anything on modifying equations in equation view?

I would be very grateful for any help.

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