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Non-linear natural convection and mass transfer flow near a vertical moving porous plate with chemical reaction and Soret effect

Basant Kumar Jha (Department of Mathematics, Faculty of Science, Ahmadu Bello University, Zaria, Nigeria)
Muhammad Nasir Sarki (Department of Mathematics, Kebbi State University of Science and Technology, Aliero, Nigeria)

Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Article publication date: 30 July 2019

Issue publication date: 8 August 2019

Abstract

Purpose

The purpose of this paper is to conduct a theoretical study on steady fully developed non-linear natural convection and mass transfer flow past an infinite vertical moving porous plate with chemical reaction and thermal diffusion effect. Closed-form expressions for dimensionless velocity, concentration, Sherwood number and skin-friction are obtained by solving the present mathematical model.

Design/methodology/approach

The fully developed steady non-linear natural convection and mass transfer flow near a vertical moving porous plate with chemical reaction and thermal diffusion effect is investigated. The non-linear density variation and Soret effect were taken into consideration. The dimensionless velocity, temperature and concentration profiles were obtained in terms of exponential functions, and were used to compute the governing parameters, skin-friction and Sherwood number.

Findings

The effect of coefficient of the non-linear density variation with the temperature (NDT) and concentration (NDC) parameter, chemical reaction parameter, thermal diffusion parameter are discussed with the aid of line graphs and tables. The analysis of the result shows that the velocity as well as skin-friction having higher values in the case of non-linear variation of density with temperature and concentration in comparison to linear variation of density with temperature and concentration. It is observed that the velocity and skin-friction increase with an increase in the Soret parameter.

Originality/value

The aim of this paper is to extend the work of Muthucumaraswamy (2002) by incorporating the thermal diffusion (Soret) effect and non-linear density variation with temperature (NDT) and concentration (NDC), on which, to the best knowledge of the authors, no studies have been carried out.

Keywords

Citation

Jha, B.K. and Nasir Sarki, M. (2019), "Non-linear natural convection and mass transfer flow near a vertical moving porous plate with chemical reaction and Soret effect", Multidiscipline Modeling in Materials and Structures, Vol. 15 No. 5, pp. 846-858. https://doi.org/10.1108/MMMS-04-2018-0063

Publisher

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Emerald Publishing Limited

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