# Analysis of dusty Casson fluid flow past a permeable stretching sheet bearing power law temperature and magnetic field

Jafar Hasnain (Department of Computer Sciences, Bahria University Islamabad Campus, Islamabad, Pakistan)
Zaheer Abbas (Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan)
Mariam Sheikh (Department of Mathematics, University of Sialkot, Sialkot, Pakistan)
Shaban Aly (Department of Mathematics, Faculty of Science, King Khalid University, Abha, Kingdom of Saudi Arabia)

ISSN: 0961-5539

Article publication date: 15 August 2019

Issue publication date: 22 May 2020

## Abstract

### Purpose

This study aims to present an analysis on heat transfer attributes of fluid-particle interaction over a permeable elastic sheet. The fluid streaming on the sheet is Casson fluid (CF) with uniform distribution of dust particles.

### Design/methodology/approach

The basic steady equations of the CF and dust phases are in the form of partial differential equations (PDEs) which are remodeled into ordinary ones with the aid of similarity transformations. In addition to analytical solution, numerical solution is obtained for the reduced coupled non-linear ordinary differential equations (ODEs) to validate the results.

### Findings

The solution seems to be influenced by significant physical parameters such as CF parameter, magnetic parameter, suction parameter, fluid particle interaction parameter, Prandtl number, Eckert number and number density. The impact of these parameters on flow field and temperature for both fluid and dust phases is presented in the form of graphs and discussed in detail. The effect on skin friction coefficient and heat transfer rate is also presented in tabular form. It has been observed that an increase in the CF parameter curtails the fluid velocity as well as the particle velocity however enhances the heat transfer rate at the wall. Furthermore, comparison of the numerical and analytical solution is also made and found to be in excellent agreement.

### Originality/value

Although the analysis of dusty fluid flow has been widely examined, however, the present study obtained both analytical and numerical results of power law temperature distribution in dusty Casson fluid under the influence of magnetic field which are new and original for such type of flow.

## Acknowledgements

Thanks to the anonymous reviewers for their useful comments to improve the version of the paper. The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through Research Groups Program under grant number R.G.P.2/66/40.

## Citation

Hasnain, J., Abbas, Z., Sheikh, M. and Aly, S. (2020), "Analysis of dusty Casson fluid flow past a permeable stretching sheet bearing power law temperature and magnetic field", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 6, pp. 3463-3480. https://doi.org/10.1108/HFF-11-2018-0685

## Publisher

:

Emerald Publishing Limited