Unsteady MHD flow of Maxwell fluid with Caputo–Fabrizio non-integer derivative model having slip/non-slip fluid flow and Newtonian heating at the boundary

• Published in: Indian journal of physics Vol. 96; no. 1; pp. 127 - 136
• Main Authors: Ghalib, Muhammad Mansha, Zafar, Azhar Ali, Farman, Muhammad, Akgül, Ali, Ahmad, M O, Ahmad, Aqeel
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 2022; Springer Nature B.V
• Subjects: Algorithms; Astrophysics and Astroparticles; Fluid dynamics; Fluid flow; Laplace transforms; Magnetohydrodynamics; Mass transfer; Mathematical models; Maxwell fluids; Original Paper; Physics; Physics and Astronomy; Porous media; Slip; Thermal radiation; MHD flow; Semianalytical solution; 0361.3; Ramped wall temperature; Porous medium; 76E25; Unsteady flow
• ISSN: 0973-1458; 0974-9845
• DOI: 10.1007/s12648-020-01937-7

The purpose of this manuscript is to investigate the unsteady magnetohydrodynamics flow of a Maxwell fluid with conjugate effects of heat and mass transfer under the slip and non-slip conditions at the boundary. Moreover, we apply the Caputo–Fabrizio fractional derivative to model the proposed problem. We consider the fluid in a porous medium over a vertical plate with ramped temperature. We take into consideration the influence of thermal radiation in the energy equations. We solve the governing equations by Laplace transform technique, and we use the Stehfest’s algorithm to find the inverse Laplace transform. Hence, we obtain the semianalytical solutions for temperature, concentration and velocity in case of ramped temperature as well as for both slip and non-slip conditions and general motion of the plate. We demonstrate the numerical results by some figures.