Linear and non-linear analyses of double-diffusive-Chandrasekhar convection coupled with cross-diffusion in micropolar fluid over saturated porous medium
Chandrasekhar convection; Cross diffusion; Double-diffusive convection; Micropolar fluid; Porous medium
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. 2020, Emerald Publishing Limited.
Anncy M.; Varghese Joseph T.; Pranesh S.
Multidiscipline Modeling in Materials and Structures, Vol-17, No. 1, pp. 211-236.
https://doi.org/10.1108/MMMS-11-2019-0201 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85086944249&doi=10.1108%2fMMMS-11-2019-0201&partnerID=40&md5=8b06f24aa03f0f35363d19c049104e13
Anncy M., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India; Varghese Joseph T., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India; Pranesh S., Department of Mathematics, CHRIST (Deemed to be University), Bangalore, India