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Linear and non-linear analyses of double-diffusive-Chandrasekhar convection coupled with cross-diffusion in micropolar fluid over saturated porous medium

Maria Anncy (Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India)
Thadathil Varghese Joseph (Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India)
Subbarama Pranesh (Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 29 June 2020

Issue publication date: 24 December 2020

62

Abstract

Purpose

The problem aims to find the effects of coupled cross-diffusion in micropolar fluid oversaturated porous medium, subjected to Double-Diffusive Chandrasekhar convection.

Design/methodology/approach

Normal mode and perturbation technique have been employed to determine the critical Rayleigh number. Non-linear analysis is carried out by deriving the Lorenz equations using truncated Fourier series representation. Heat and Mass transport are quantified by Nusselt and Sherwood numbers, respectively.

Findings

Analysis related to the effects of various parameters is plotted, and the results for the same are interpreted. It is observed from the results that the Dufour parameter and Soret parameter have an opposite influence on the system of cross-diffusion.

Originality/value

The effect of the magnetic field on the onset of double-diffusive convection in a porous medium coupled with cross-diffusion in a micropolar fluid is studied for the first time.

Keywords

Citation

Anncy, M., Varghese Joseph, T. and Pranesh, S. (2021), "Linear and non-linear analyses of double-diffusive-Chandrasekhar convection coupled with cross-diffusion in micropolar fluid over saturated porous medium", Multidiscipline Modeling in Materials and Structures, Vol. 17 No. 1, pp. 211-236. https://doi.org/10.1108/MMMS-11-2019-0201

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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