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

Azhar Ali Zafar\(^{a,*}\), Sajjad Hussain\(^a\), Khurram Shabbir\(^a\)

\(^a\)Department of Mathematics, Government College University, Lahore Pakistan

Correspondence should be addressed to: azharalizafar@gcu.edu.pk, sajjadhussain0158@gmail.com, dr.khurramshabbir@gcu.edu.pk

Copyright © 2024 Azhar Ali Zafar, Sajjad Hussain, Khurram Shabbir. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Published: Received: 09 July 2024 Accepted: 03 September 2024; Published Online: 06 September 2024

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.

Keywords:

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