Analysis of magnetohydrodynamics flow of a generalized viscous fluid through a porous medium with Prabhakar-like fractional model with generalized thermal transport

• Published in: Advances in Mechanical Engineering Vol. 14; no. 10; p. 168781322211329
• Main Authors: Khan, Zar Ali, Ishaq, Muhammad, Ghani, Usman, ullah, Rooh, Iqbal, Saqib
• Format: Book Review Journal Article
• Language: English
• Published: London, England SAGE Publications 01.10.2022; Sage Publications Ltd; SAGE Publishing
• Subjects: Boussinesq approximation; Exact solutions; Free convection; Grashof number; Heat flux; Magnetohydrodynamics; Parameters; Porous media; Prandtl number; Vertical oscillations; Viscous fluids; MHD; integral transform; Prabhakar fractional order derivative; exact solutions; Viscous fluid
• ISSN: 1687-8132; 1687-8140
• DOI: 10.1177/16878132221132949

It is looked into how fractional MHD and viscous fluid naturally flow across a vertical plate that oscillates with a steady heat flux in a porous medium. The analytical solution for non-dimensional momentum was generated using the Laplace transform and the Boussinesq approximation. Comparisons are presented between Fourier’s law-described classical thermal transport and Prabhakar-like fractional time free convection flows in terms of temperature and velocity. By using fractional viscous fluid, we were able to produce conventional viscous fluid solutions and complete their objective. Finally, diagrams are used to show how different parameters such as Prandtl number, fractional parameters, Grashof number, effective permeability, time on temperature and velocity, and graphically recovered the solution available in the literature.