Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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INERTIAL EFFECT ON CONVECTIVE FLOW IN A PASSIVE MUSHY LAYER

  • Bhatta, Dambaru (Department of Mathematics, The University of Texas-Pan American) ;
  • Riahi, Daniel N. (Department of Mathematics, The University of Texas-Pan American) ;
  • Muddamallappa, Mallikarjunaiah S. (Department of Mathematics, Texas A & M University)
  • Received : 2011.05.11
  • Accepted : 2011.11.28
  • Published : 2012.05.30
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Abstract

Here we consider the inertial effect in a horizontal mushy layer during solidification of a binary alloy. Using perturbation technique, we obtain two systems, one of zero order and the other of first order. We consider a mushy layer with an impermeable mush-liquid interface and of constant permeability. The analysis reveals that the effect of inertial parameter is stabilizing in the sense that the critical Rayleigh number at the onset of motion increases by the inertial effect.

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References

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