Publication de 4 numéros par an
ISSN Imprimer: 2151-4798
ISSN En ligne: 2151-562X
Indexed in
THE ONSET OF CONVECTION IN A GRAVITY-MODULATED VISCOELASTIC FLUID-SATURATED ANISOTROPIC POROUS LAYER
RÉSUMÉ
This study presents a linear stability analysis of thermal convection in a porous layer saturated with viscoelastic fluid subjected to harmonic vertical vibrations so that the gravity varies periodically with time. The fluid obeys an Oldroyd-B constitutive relationship. The porous layer is considered to be densely packed and to possess vertical anisotropy in both mechanical and thermal properties. The onset threshold in terms of correction to a critical Rayleigh number is computed using the regular perturbation method based on small amplitude of modulation. Due to the imposed gravity modulation, there is a shift in the onset criteria. It is found that the low-frequency gravity modulation advances the convection, while for moderate and large frequencies stabilization occurs. The thermal anisotropy, normalized porosity, Darcy−Prandtl number, and relaxation parameter reinforce−while the mechanical anisotropy and retardation parameters suppress− the stabilizing effect of g-jitter.
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Zhao Moli, Wang Shaowei, Li S.C., Zhang Q.Y., Mahabaleshwar U.S., Chaotic Darcy-Brinkman convection in a fluid saturated porous layer subjected to gravity modulation, Results in Physics, 9, 2018. Crossref
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Swamy Mahantesh S., Shivakumara I. S., Naduvinamani N. B., Effect of Gravity Modulation on Electrothermal Convection in a Dielectric Fluid Saturated Anisotropic Porous Layer, Journal of Heat Transfer, 136, 3, 2014. Crossref
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Nield Donald A., Bejan Adrian, Internal Natural Convection: Heating from Below, in Convection in Porous Media, 2017. Crossref