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Combined effects of Forchheimer, Soret and Dufour on MHD mixed convective dusty viscoelastic Couette flow in an irregular channel

Uma M (Department of Mathematics, M S Ramaiah Institute of Technology, Bangalore, India)
Dinesh PA (Department of Mathematics, M S Ramaiah Institute of Technology, Bangalore, India)
Girinath Reddy M (Department of Mathematics, M S Ramaiah Institute of Technology, Bangalore, India)
Sreevallabha Reddy A (Department of Mathematics, M S Ramaiah Institute of Technology, Bangalore, India)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 4 June 2020

Issue publication date: 24 December 2020

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Abstract

Purpose

A study on convective aspects was carried out on a Couette flow in an irregular channel by applying a constant uniform magnetic field parallel to the channel flow.

Design/methodology/approach

The dynamic study of such a flow resulted in highly nonlinear coupled partial differential equations. To solve these partial differential equations analytically, regular perturbation method was invoked for velocity, temperature and concentration with a combined parameter of Soret and Forchheimer. The numerical computational results have been extracted for various nondimensional parameters with regard to fluid and particle flow as well as for temperature and solute concentration.

Findings

The current article presents a novel approach to assess the effects of drag force as well as the diffusion-based interactions between the velocity, temperature and concentrations with the aid of Soret and Dufour on two-dimensional MHD mixed with a dusty viscoelastic fluid.

Originality/value

The results found are in good agreement with the earlier studies in the absence of nonlinear effect of Forchheimer model.

Keywords

Acknowledgements

The authors are grateful to the research center M. S. Ramaiah Institute of Technology where the research work was carried out and for their support.

Citation

M, U., PA, D., M, G.R. and A, S.R. (2021), "Combined effects of Forchheimer, Soret and Dufour on MHD mixed convective dusty viscoelastic Couette flow in an irregular channel", Multidiscipline Modeling in Materials and Structures, Vol. 17 No. 1, pp. 49-64. https://doi.org/10.1108/MMMS-12-2019-0233

Publisher

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Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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