Thermal Compressibiliy

Numerical methods and mathematical models of Elmer
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Captain Slow
Posts: 72
Joined: 10 Nov 2009, 19:17

Thermal Compressibiliy

Post by Captain Slow »

In the Navier-Stokes exations, one of the material compressibility model options is ''Thermal'', would I be correct in assuming that this is Isothermal compressibility I.E. compressibility with constant temperature?
Juha
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Posts: 357
Joined: 21 Aug 2009, 15:11

Re: Thermal Compressibiliy

Post by Juha »

Hi,

the "thermal" model is a lot like the "Boussinesq" model for incompressible flow, i.e.
rho=rho_0*(1-beta(T-T_0)). The density depends on the temperature everywhere though,
not just in the body force terms for the momentum equations.

There is also "pressure dependent" compressibility model, where you need to specify
the "density" and "drho/dp" (both in terms of pressure) as material parameters.

The ideal gas model with constant temperature is also an option (and similiar to the
'pressure dependent' model with rho=c*(p+p_0), drho/dp=c).

Regards, Juha
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