THEORETICAL FOUNDATIONS AND SPECIFICITY OF MATHEMATICAL MODELLING

EFFECT OF THERMAL PROPERTIES OF BOUNDARIES ON STABILITY OF STEADY-STATE FLOW A LIQUID WITH HEAVY IMPURITY

  • 1 Chelyabinsk State University, Chelyabinsk, Russia

Abstract

The results of a solution of the problem of the stability of steady convective flow in a vertical layer with thermally insulated boundaries and a comparison with the opposite limiting case of ideally thermally conducting boundaries are presented. Study is made of the effect of thermal properties of boundaries on the convective flow stability in a closed vertical layer. The numerical solution of a spectral amplitude problem for normal disturbance is presented for thermally insulated boundaries. The critical Grashof numbers are determined. A comparison with the case of ideal conducting walls shows that there is a slight effect of thermal properties on the instability criterion.

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References

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