Onset of Oscillatory Convection in a Sparsely Packed Porous Layer Saturated with Viscoelastic Fluid

Geethu Varghese; Smita S Nagouda; Nalinakshi N; Faiz Imam

doi:https://doi.org/10.14445/22315373/IJMTT-V58P501

International Journal of Mathematics Trends and Technology

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Volume 58 | Number 1 | Year 2018 | Article Id. IJMTT-V58P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V58P501

Onset of Oscillatory Convection in a Sparsely Packed Porous Layer Saturated with Viscoelastic Fluid

Geethu Varghese, Smita S Nagouda, Nalinakshi N, Faiz Imam

Abstract

The onset of oscillatory convection in a horizontal sparsely packed porous layer saturated with viscoelastic fluid which is heated from below is analyzed. A linear stability analysis based on the normal mode technique is used to study the eigen value problem with the free-free and isothermal boundaries. Darcy-Rayleigh number on the onset of stationary and oscillatory convection has been derived and effects of various viscoelastic properties and Darcy number have been examined.

Keywords

viscoelastic fluid, Darcy-Rayleigh number, Darcy-Brinkman model, Deborah number, relaxation time, Darcy number.

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Citation :

Geethu Varghese, Smita S Nagouda, Nalinakshi N, Faiz Imam, "Onset of Oscillatory Convection in a Sparsely Packed Porous Layer Saturated with Viscoelastic Fluid," International Journal of Mathematics Trends and Technology (IJMTT), vol. 58, no. 1, pp. 1-10, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V58P501