Stable and Optimal Interface Treatment for Partitioned Conjugate Heat Transfer Problems
Résumé
In conjugate heat transfer (CHT) analysis, the fluid-solid heat transfer calculation is realized by expanding the fluid capability to include heat conduction in solid regions neighboring the fluid. Stability conditions of CHT analysis can be provided by a simplified model problem and from this model, two fundamental parameters are introduced in the coupled approach: a "numerical" Biot number, and an optimal coefficient. The first parameter defines the nature of the fluid-solid interaction. The optimal coefficient ensures unconditional stability. Results presented in this paper consider a wide range of steady thermal phenomena from weak to very strong fluid-solid interaction (insulating materials). At the end of the paper, an example of transient CHT is also shown. The methods proposed in this paper illustrate that a model problem can provide effective and practical solutions directly applicable to complex conjugate heat transfer problems.
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