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Incompressible viscous heating

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Old   June 7, 2008, 14:33
Default Hello, today I obtained ident
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kar
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Kārlis Repsons
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Hello,
today I obtained identity of heat source caused by fluid friction for incompressible fluid, but I am not sure, if it is correct.

Here it goes (W / m^3 ):

q == div( mu U & ( grad(U) + grad(U)^T ) )

== grad(U) && (
grad( mu U ) + (grad( mu U ))^T
)
+ mu U & ( div( grad(U) ) )^T

Please check this,
Kārlis
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