Rayleigh-Bénard convection of Casson fluids

Abstract : This study aims at investigating numerically the Rayleigh-Bénard Convection (RBC) in viscoplastic fluids. A Casson fluid is considered in a bidimensional square cavity heated from below. The effects of the dimensionless yield stress, the Bingham number Bn, on the heat transfer and motion is investigated in the range 5.10^3 < Ra < 10^5 for the Rayleigh number and Pr = 10, 100, 1000 for the Prandtl number. One shows that the yield stress has a stabilizing effect, reducing the convection intensity. Above a certain value of Bnmax , the convection does not occur and the heat transfer is only due to conduction. For moderate Bn values, truly unyielded regions are located in the center of the cavity; their areas grow with increasing Bingham number and invade the whole cavity at the threshold value Bnmax .
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Mohammad Saied Aghighi, Amine Ammar, Christel Metivier, M. Gharagozlu. Rayleigh-Bénard convection of Casson fluids. International Journal of Thermal Sciences, Elsevier, 2018, 127, pp.79-90. ⟨10.1016/j.ijthermalsci.2018.01.016⟩. ⟨hal-02285050⟩

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