Caputo Fractional MHD Casson Fluid Flow Over an Oscillating Plate with Thermal Radiation

Authors

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

DOI:

https://doi.org/10.37934/arfmts.85.2.145158

Keywords:

Casson fluid, Caputo derivative, Laplace transform, Thermal radiation

Abstract

The effect of the thermal radiation on the MHD Casson fluid along with the fractional derivative in an oscillating vertical plate is elucidated. More exactly, the Caputo fractional model is utilized in developing the governing equations. Besides, the influence of the buoyancy force due to the temperature gradient has also been considered. The derived fractional partial differential equations are converted into ordinary differential equations by using the Laplace transform technique and then are solved for analytical solutions via the characteristic method. The inversion of the Laplace transformation is obtained through the numerical approach of Zakian. The effects of various physical parameters on the velocity and temperature profiles, Nusselt number, and skin friction have been analyzed and depicted in graphs and tables. The distribution of the velocity and temperature either in viscous or Casson fluid do enhance by the fractional parameter.

Author Biographies

Ridhwan Reyaz, Department of Mathematical Sciences, Fakulti Sains, Universiti Teknologi Malaysia, Skudai, 81310 Johor Bahru, Johor, Malaysia

ridhwanreyaz@gmail.com

Yeou Jiann Lim, Department of Mathematical Sciences, Fakulti Sains, Universiti Teknologi Malaysia, Skudai, 81310 Johor Bahru, Johor, Malaysia

jiann@utm.my

Ahmad Qushairi Mohamad, Department of Mathematical Sciences, Fakulti Sains, Universiti Teknologi Malaysia, Skudai, 81310 Johor Bahru, Johor, Malaysia

ahmadqushairi@utm.my

Muhammad Saqib, Department of Mathematical Sciences, Fakulti Sains, Universiti Teknologi Malaysia, Skudai, 81310 Johor Bahru, Johor, Malaysia

muhammadsaqib621@gmail.com

Sharidan Shafie, Department of Mathematical Sciences, Fakulti Sains, Universiti Teknologi Malaysia, Skudai, 81310 Johor Bahru, Johor, Malaysia

sharidan@utm.my

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Published

2021-08-10

How to Cite

Reyaz, R. ., Lim, Y. J. ., Mohamad, A. Q., Muhammad Saqib, & Shafie, S. (2021). Caputo Fractional MHD Casson Fluid Flow Over an Oscillating Plate with Thermal Radiation. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 85(2), 145–158. https://doi.org/10.37934/arfmts.85.2.145158

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