MHD Flow of Fractionalized Jeffrey Fluid with Newtonian Heating and Thermal Radiation Over a Vertical Plate

  • M. Ramzan Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
  • A. Shafique Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
  • M. Amir Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
  • M. Nazar Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
  • Zaib Un Nisa Department of Mathematics, University of Education Lahore, Multan Campus, Multan, Pakistan
Keywords: Jeffrey’s fluid, Free convection, Chemical reaction, Heat generation, Newtonian heating Atangana-Baleanu, Caputo, and Caputo-Fabrizio fractional derivatives

Abstract

The objective of this paper is to analyze the influence of heat absorption/generation and mass diffusion on magnetohydrodynamics(MHD) Jeffrey fluid flow over a perpendicular plate moving exponentially immersed in a porous media. The Newtonian heating condition are udes for the fluid motion. The impact of thermal radiation is used in the energy equation. The two types of magnetic field have been evaluated. The main purpose of present work is to acquire the analytical solution with the help of Atangana-Baleanu (AB), Caputo, and Caputo-Fabrizio fractional derivatives. We have drawn a graphical comparison between the solutions of these three types of fractional models of jeffery fluid. Graphs of different parameters have been also plotted using MathCad software. Furthermore, comparison among ordinary and fractionalized velocity fields are made to observe the impact of fractional parameter . It is clear from graph that velocity obtained with ordinary derivative is higher than that obtained with fractional derivatives. It is also found that velocity obtained with Atangana-Baleanu (AB) fractional derivative is smaller than that obtained with Caputo and Caputo-Fabrizio fractional derivatives. Therefore, Atangana-Baleanu fractional derivative is the best choice to obtain controlled velocity.

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Published
2022-01-22
How to Cite
M. Ramzan, A. Shafique, M. Amir, M. Nazar, & Zaib Un Nisa. (2022). MHD Flow of Fractionalized Jeffrey Fluid with Newtonian Heating and Thermal Radiation Over a Vertical Plate. International Journal of Sciences: Basic and Applied Research (IJSBAR), 61(1), 170-195. Retrieved from https://www.gssrr.org/index.php/JournalOfBasicAndApplied/article/view/13399
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Articles