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

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 critica...

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Bibliographic Details
Published in:arXiv.org 2011-01
Main Authors: Sagitov, R V, Sharifulin, A N
Format: Article
Language:English
Subjects:
Boundaries
Convective flow
Flow stability
Grashof number
Stability
Stability analysis
Temperature gradients
Thermal conductivity
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1101.1474