Stability analysis reveals that throughflow and enclosure geometry regulate convection in micropolar fluids, indicating suction and injection can control heat transport.
The purpose of the study is to examine effect of throughflow in Rayleigh-B{é}nard setup taking micropolar fluid in enclosures. Linear and non-linear stability analysis of the problem is carried out by deriving the Lorenz model considering Fourier-series representation. In this study, three different enclosure types — shallow (hb) are examined, where h - height and b - breadth of the enclosure. According to the study, shallow enclosure is more stable than square and tall enclosure. On the other hand heat transport is more in tall enclosure. It is also observed that, system is stable in anti-gravity and unstable in pro-gravity conditions. Thus, the onset of convection can be controlled by adjusting the suction injection effects. Graphs are plotted to study and demonstrate the effects of micropolar fluid characteristics on Rayleigh-number and average Nusselt number.
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Jestine et al. (2026) studied this question.
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