Non-singular fractional computations for the radiative heat and mass transfer phenomenon subject to mixed convection and slip boundary effects

Ali Raza, Abuzar Ghaffari, Sami Ullah Khan, Absar Ul Haq, M. Ijaz Khan and M. Riaz Khan

Chaos, Solitons & Fractals, 2022, vol. 155, issue C

Abstract: In this study, we have investigated the magnetohydrodynamics(MHD) fluid flow through a porous medium flowing on anerect vertical plate. The effects of mass and heat transfer through ramped temperature, thermal radiation, and slip conditions in the energy equation are also considered. To enhance the innovation of this article, the recent definition of fractional derivative operator i.e. Atangana-Baleanu (AB) time-fractional derivative, is used to explore the numerical results of the problem.The semi-analytical solution of fractional dimensionless leading equations is obtained by using the Laplace scheme and some numerical methods namely Stehfest and Tzou's algorithms. Some specialcases of velocity distribution are discussed whose physical applications are well-defined in the literature. The obtained results are illustrated graphically and numerically by changing the values ofdifferent parameters. A decayinh change in heat transfer and velocity profile is noticed for fractional parameter β.

Keywords: AB-fractional derivative; MHD flow; Time fractional operator; Porous medium; Slip boundary (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921010626

DOI: 10.1016/j.chaos.2021.111708

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