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What is difference between darcy and brinkman eqn.?

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I know darcy and brinkman eqn. are uesd in porous media flow.

I heard that darcy is used in small porosity media flow but, brinkman is used in the opposite case.

Is that right?

If that is right, Is there standard of porosity which is sutiable to use to analyze real phenomena?

I want to analyze flow in catalyst packed bed reactor.

Catalysts which are packed in the reactor are 1mm radius of the spherical particles and each of cataylst particles have very small pore space.

In this case, which one is sutiable, darcy or brinkman?
(Brinkman eqn. is used in porous media reacting flow module in COMSOL. but I don't know why it is.
Because all of CFD thesis on Fischer-Tropsch synthesis packed bed reactor use darcy eqn. It's not same as COMSOL module eqn.)

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