Vol.122, No.3, 2020, pp.1099-1118, doi:10.32604/cmes.2020.08389
OPEN ACCESS
ARTICLE
Integral Transform Method for a Porous Slider with Magnetic Field and Velocity Slip
  • Naeem Faraz1, *, 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: nfaraz_math@yahoo.com.
(This article belongs to this Special Issue: Numerical Methods for Differential and Integral Equations)
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.
Keywords
Porous slider, MHD flow, Reynolds number, velocity slip, integral transform method.
Cite This Article
Faraz, N., Khan, Y., Anjum, A., Hussain, A. (2020). Integral Transform Method for a Porous Slider with Magnetic Field and Velocity Slip. CMES-Computer Modeling in Engineering & Sciences, 122(3), 1099–1118.
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