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

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

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 probl...

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Bibliographic Details
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
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Summary: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.
ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-020-01937-7