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Three-dimensional Absolute and Convective Instabilities in Mixed Convection of a Viscoelastic Fluid Through a Porous Medium by Sílvia C. Hirata; Mohamed Najib Ouarzazi is a Physics and Astronomy article available to read on EtoBox.

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By using the mathematical formalism of absolute and convective instabilities we study the nature of unstable three-dimensional disturbances of viscoelastic flow convection in a porous medium with horizontal through-flow and vertical temperature gradient. Temporal stability analysis reveals that among three-dimensional (3D) modes the pure down-stream transverse rolls are favored for the onset of convection. In addition, by considering a spatiotemporal stability approach we found that all unstable 3D modes are convectively unstable except the transverse rolls which may experience a transition to absolute instability. The combined influence of through-flow and elastic parameters on the absolute instability threshold, wave number and frequency is then determined, and results are compared to those of a Newtonian fluid.

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Author

Sílvia C. Hirata; Mohamed Najib Ouarzazi

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0375-9601)

Published

2010

Language

EN

Field

Physics and Astronomy (Physical Sciences)