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Influence of multiple slips and chemical reaction on radiative MHD Williamson nanofluid flow in porous medium: A computational framework

Nilankush Acharya (Department of Mathematics, Jadavpur University, Kolkata, India)
Kalidas Das (Department of Mathematics, ABN Seal College, Cooch Behar, India)
Prabir Kumar Kundu (Department of Mathematics, Jadavpur University, Kolkata, India)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 18 April 2019

Issue publication date: 18 April 2019

Abstract

Purpose

The purpose of this paper is to focus on the influence of multiple slips on MHD Williamson nanofluid flow embedded in porous medium towards a linearly stretching sheet that has been investigated numerically. The whole analysis has been carried out considering the presence of nth-order chemical reaction between base fluid and nanoparticles.

Design/methodology/approach

A similarity transformation technique has been adopted to convert non-linear governing partial differential equations into ordinary ones and then they are solved by using both the RK-4 method and Laplace transform homotopy perturbation method. The consequences of multiple slip parameters on dimensionless velocity, temperature and concentration and heat and mass transfer rates have been demonstrated using tabular and graphical outline.

Findings

The investigation explores that the Nusselt number reduces for escalating behaviour of velocity slip and thermal slip parameter. Fluid’s temperature rises in the presence of generative reaction parameter.

Originality/value

A fine conformity of the current results has been achieved after comparing with previous literature studies. Considering destructive chemical reaction, reduced Nusselt number is found to decrease, but reverse consequence has been noticed in the case of generative chemical reaction. Mass transport diminishes when the order of chemical reaction amplifies for both destructive and generative reactions.

Keywords

Acknowledgements

The authors do not have any conflict of interest. The authors wish to express their cordial thanks to reviewers and Editor in chief for valuable suggestions and comments to improve the presentation of this paper.

2010 Mathematics Subject Classification: 76W05

Citation

Acharya, N., Das, K. and Kundu, P.K. (2019), "Influence of multiple slips and chemical reaction on radiative MHD Williamson nanofluid flow in porous medium: A computational framework", Multidiscipline Modeling in Materials and Structures, Vol. 15 No. 3, pp. 630-658. https://doi.org/10.1108/MMMS-08-2018-0152

Publisher

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Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited