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Cyclic conjugate heat transfer

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Old   December 30, 2021, 11:55
Default Cyclic conjugate heat transfer
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Hello,

I am investigating water flow through a heated internally rifled tube, using chtMultiRegionSimpleFoam (modelling heat transfer in both water and the tube). Until now I have been using a mesh with entrance region to ensure fully developed flow before the heating section, but I am interested in trying a cyclic approach. I have come across som examples for cyclic heat transfer of internal flows (as descirbed in Fully Developed Flow and Heat Transfer in Ducts Having Streamwise-Periodic Variations of Cross-Sectional Area by Patankar & Sparrow, 1977).

The basic idea is to define a modified pressure field,

p^*(x,y,z) = p(x,y,z) - \beta z,
where z is the streamwise direction and \beta z is the pressure drop across the domain. The same can be done for temperature (assuming constant heat flux),
T^*(x,y,z) = T(x,y,z) + \gamma z,

where \gamma is the temperature gradient, defined as
\gamma = \frac{\dot{Q}}{\dot{m}C_p L}.


However, this is not shown for conjugate heat transfer, which I am interested in. I have not managed to find any examples of this yet, so I thought I should ask here if anyone has experience with this. If not, I think it should be possible to implement this in OpenFOAM without too much trouble. Any help is appreciated.

Best regards,
Johan
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cht, cyclic, heat transfer, openfoam, periodic

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