Long-Wave Instability of Advective Flows in Inclined Layer with Solid Heat Conductive Boundaries

R. V. Sagitov; A. N. Sharifulin

doi:10.1134/s0021894411060022

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arXiv · 1101.1474

Long-Wave Instability of Advective Flows in Inclined Layer with Solid Heat Conductive Boundaries

R. V. Sagitov·A. N. Sharifulin

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Abstract

We investigate the stability of the steady convective flow in a plane tilted layer with ideal thermal conductivity of solid boundaries in the presence of uniform longitudinal temperature gradient. Analytically found the stability boundary with respect to the long-wave perturbations, find the critical Grashof number for the most dangerous among them of even spiral perturbation.

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R. V. Sagitov, A. N. Sharifulin. 2011-01-07. Long-Wave Instability of Advective Flows in Inclined Layer with Solid Heat Conductive Boundaries. https://doi.org/10.1134/s0021894411060022

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