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Thermal instability of a horizontal layer of micropolar fluid with heat source

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Abstract

The thermal instability of a horizontal layer of micropolar fluid which loses heat throughout its volume at a constant rate has been considered. The influence of the various micropolar fluid parameters on the onset of convection have been analysed. It is found that heat source and heat sink have the same destabilising effect in micropolar fluid. It is observed that the horizontal dimension of the cells remains insensitive to the changes in the micropolar fluid parameters and also to the heat source parameterQ except forQ values near zero, where the change is drastic. Further, it is observed that though the vertical component of velocity and the curl of microrotation do not vanish anywhere between the two boundaries forQ=0, they vanish at a point nearer to the lower boundary even for a small change in theQ value.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, Powai, 400076, Bombay, India

    S P Bhattacharyya & S K Jena

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  1. S P Bhattacharyya
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  2. S K Jena
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Bhattacharyya, S.P., Jena, S.K. Thermal instability of a horizontal layer of micropolar fluid with heat source. Proc. Indian Acad. Sci. (Math. Sci.) 93, 13–26 (1984). https://doi.org/10.1007/BF02861831

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  • DOI: https://doi.org/10.1007/BF02861831

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