Presence of Riga Plate on MHD Caputo Casson Fluid: An Analytical Study

Authors

  • Ridhwan Reyaz Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
  • Ahmad Qushairi Mohamad Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
  • Lim Yeou Jiann Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
  • Muhammad Saqib Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
  • Sharidan Shafie Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia

DOI:

https://doi.org/10.37934/arfmts.93.2.8699

Keywords:

Riga plate, Caputo fractional derivative, Casson fluid, accelerated plate, Laplace transform, Zakian's algorithm

Abstract

Driven by technological advancement, the Riga plate can be seen as a key feature in developing the engineering world. As such, this study aims to investigate the effects of an accelerating semi-infinite Riga plate over a convective flow of MHD Casson fluid incorporated with the Caputo fractional derivative. The obtained governing PDEs are converted in dimensionless form and reduced to systems of ODEs via Laplace transform. Zakian's method of inverse Laplace transform is then utilised to generate graphical results in the time domain. Variations of parameter such as Casson, modified Hartmann number, Grashof number, magnetic parameter and fractional parameters are investigated for velocity profiles. Skin friction coefficient is also calculated and presented numerically. Study shows that Riga plate aids in fluid flow, hence increasing its velocity.

Author Biographies

Ridhwan Reyaz, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia

ridhwanreyaz@gmail.com

Ahmad Qushairi Mohamad, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia

ahmadqushairi@utm.my

Lim Yeou Jiann, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia

jiann@utm.my

Muhammad Saqib, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia

muhammadsaqib621@gmail.com

Sharidan Shafie, Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia

sharidan@utm.my

Downloads

Published

2022-03-22

How to Cite

Ridhwan Reyaz, Ahmad Qushairi Mohamad, Lim Yeou Jiann, Muhammad Saqib, & Sharidan Shafie. (2022). Presence of Riga Plate on MHD Caputo Casson Fluid: An Analytical Study. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 93(2), 86–99. https://doi.org/10.37934/arfmts.93.2.8699

Issue

Section

Articles

Most read articles by the same author(s)