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Theory of Brinkman equation

Posted Apr 19, 2013, 9:14 a.m. EDT 1 Reply

Silvia Bersan
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I'm checking the theory of the Brinkman equation in the manual. There's a term I don't understand where stems from: 2/3nu(nabla u). I also checked the given references but this term is not metioned. Any clue?
1 Reply Last Post Sep 11, 2013, 10:53 a.m. EDT
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Hello Silvia Bersan

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Marino Miccio
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Posted: 1 decade ago Sep 11, 2013, 10:53 a.m. EDT

I'm checking the theory of the Brinkman equation in the manual. There's a term I don't understand where stems from: 2/3nu(nabla u). I also checked the given references but this term is not metioned. Any clue?


Hi,
It's a viscous term which comes with the gradient of u and the transpose gradient.
In the classic Navier Stokes equation this term disappears because the divergence of u is zero.

Is it clear now?
[QUOTE] I'm checking the theory of the Brinkman equation in the manual. There's a term I don't understand where stems from: 2/3nu(nabla u). I also checked the given references but this term is not metioned. Any clue? [/QUOTE] Hi, It's a viscous term which comes with the gradient of u and the transpose gradient. In the classic Navier Stokes equation this term disappears because the divergence of u is zero. Is it clear now?

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