Open Access

ARTICLE

Integral Transform Method for a Porous Slider with Magnetic Field and Velocity Slip

Naeem Faraz^{1, *}, Yasir Khan², Amna Anjum¹, Anwar Hussain³

1 International Cultural Exchange School (ICES), Donghua University, Shanghai, China.
2 Department of Mathematics, University of Hafr Al-Batin, Hafar Al-Batin, Saudi Arabia.
3 DBS & HCEME, National University of Science and Technology, Islamabad, Pakistan.

* Corresponding Author: Naeem Faraz. Email: .

(This article belongs to this Special Issue: Numerical Methods for Differential and Integral Equations)

Computer Modeling in Engineering & Sciences 2020, 122(3), 1099-1118. https://doi.org/10.32604/cmes.2020.08389

Received 20 August 2019; Accepted 09 October 2019; Issue published 01 March 2020

Abstract

Current research is about the injection of a viscous fluid in the presence of a transverse uniform magnetic field to reduce the sliding drag. There is a slip-on both the slider and the ground in the two cases, for example, a long porous slider and a circular porous slider. By utilizing similarity transformation Navier-Stokes equations are converted into coupled equations which are tackled by Integral Transform Method. Solutions are obtained for different values of Reynolds numbers, velocity slip, and magnetic field. We found that surface slip and Reynolds number has a substantial influence on the lift and drag of long and circular sliders, whereas the magnetic effect is also noticeable.

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Keywords

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