Analysing MHD Heat-Mass Transfer model for-Oldroyd-B Fluid Using Fractional Order Prabhakar Derivative

Authors

  • Azhar Ali Zafar Department of Mathematics, Government College University, Lahore Pakistan.
  • Sajjad Hussain Department of Mathematics, Government College University, Lahore Pakistan.
  • Khurram Shabbir Department of Mathematics, Government College University, Lahore Pakistan.

Keywords:

Coincidence point, Free convection, Oldroyd-B fluid, Laplace transform, Prabhakar derivative operator

Abstract

The manuscript explores a fractional order heat-mass transfer model for Oldroyd-B fluid on a vertical plate employing the Prabhakar derivative operator. It investigates the MHD flow of Oldroyd-B fluid induced by natural convection and the general motion of the plate. Well known integral transform i.e. Laplace transform and Tzou’s numerical inversion algorithm are employed to simulate the model under generalized constraints. Several scenarios involving the generalized motion of the plate and general boundary conditions are investigated. A comprehensive graphical analysis is conducted to investigate the control of system parameters, and valuable findings are concluded that can help to optimize and foster various processes.

Downloads

Download data is not yet available.

Downloads

Published

2024-12-31

How to Cite

Analysing MHD Heat-Mass Transfer model for-Oldroyd-B Fluid Using Fractional Order Prabhakar Derivative. (2024). Journal of Prime Research in Mathematics, 20(2), 10 – 29. https://jprm.sms.edu.pk/index.php/jprm/article/view/229