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

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

2011-01-07

arxiv.org/abs/1101.1474v1

Physics

Fluid Dynamics

in Russian, 18 pages, 5 figures, submited to Appl. mechanics and physics, RAS Siberian brunch, Novosibirsk, Russia; Key words:

Scientific paper

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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