Long-Wave Instability of Advective Flows in Inclined Layer with Solid Heat Conductive Boundaries
Fluid Dynamics
2015-05-20 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1101.1474,
title = {Long-Wave Instability of Advective Flows in Inclined Layer with Solid Heat Conductive Boundaries},
author = {R. V. Sagitov and A. N. Sharifulin},
journal= {arXiv preprint arXiv:1101.1474},
year = {2015}
}
Comments
in Russian, 18 pages, 5 figures, submited to Appl. mechanics and physics, RAS Siberian brunch, Novosibirsk, Russia; Key words: advective flow, oblique layer, a longitudinal temperature gradient, long-wave instability