Journal
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
Volume 107, Issue 1-3, Pages 97-110Publisher
ELSEVIER
DOI: 10.1016/S0377-0257(02)00143-X
Keywords
Oldroyd-B fluid; inclined temperature gradient; Chebyshev Tau-QZ method
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The linear stability analysis of convection for Oldroyd-B fluid, in a shallow horizontal layer, with applied temperature gradient inclined to the vertical is presented. The flow is driven by a horizontal temperature gradient and the horizontal boundaries are taken to be rigid conducting. The eigenvalue problem is solved by the Chebyshev Tau-QZ method and results are presented in terms of horizontal and vertical Rayleigh numbers. It is found that consideration of lateral heating induces instabilities both in stationary and oscillatory rolls and also both as transverse and longitudinal modes and that presence of elasticity, in general, accelerates the destabilization. (C) 2002 Elsevier Science B.V. All rights reserved.
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