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Suction-injection effects on the onset of Rayleigh-Bénard-Marangoni convection in a fluid with suspended particles

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Summary

The effect of Suction-Injection-Combination (SIC) on the linear stability of Rayleigh-Bénard Marangoni convection in a horizontal layer of an Boussinesq fluid with suspended particles confined between an upper free adiabatic boundary and a lower rigid isothermal/adiabatic boundary is considered. The Rayleigh-Ritz technique is used to obtain the eigenvalues. The influence of various parameters on the onset of convection has been analysed. It is found that the effect of Prandtl number on the stability of the system is dependent on the SIC being pro-gravity or anti-gravity. A similar Pe-sensitivity is found in respect of the critical wave number. It is observed that the fluid layer with suspended particles heated from below is more stable compared to the classical fluid layer without suspended particles. The problem has possible applications in microgravity situations.

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Author notes

  1. P. G. Siddheshwar

    Present address: UGC-DSA Center in Fluid Mechanics, Department of Mathematics, Bangalore University, Central College Campus, 560001, Bangalore, India

  2. S. Pranesh

    Present address: Department of Mathematics, Christ College, Hosur Road, 560029, Bangalore, India

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    1. P. G. Siddheshwar
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    2. S. Pranesh
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    Siddheshwar, P.G., Pranesh, S. Suction-injection effects on the onset of Rayleigh-Bénard-Marangoni convection in a fluid with suspended particles. Acta Mechanica 152, 241–252 (2001). https://doi.org/10.1007/BF01176958

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    • DOI: https://doi.org/10.1007/BF01176958

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