A new model of fractional Casson fluid based on generalized Fick’s and Fourier’s laws together with heat and mass transfer

A new technique for modelling the fractional model of Casson fluid is used. More exactly, the Caputo fractional model has been developed using the generalized Fick’s and Fourier’s laws. The magnetohydrodynamics free convection flow of Casson fluid in a channel has been considered. A new transformati...

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Bibliographic Details
Published in:Alexandria engineering journal 2020-10, Vol.59 (5), p.2865-2876
Main Authors: Sheikh, Nadeem Ahmad, Ching, Dennis Ling Chuan, Khan, Ilyas, Kumar, Devendra, Nisar, Kottakkaran Sooppy
Format: Article
Language:English
Subjects:
Generalized Fick’s and Fourier’s laws
Heat mass transfer
Magnetite Casson fluid
Mittag-Leffler function
New model of fractional derivative
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Summary:A new technique for modelling the fractional model of Casson fluid is used. More exactly, the Caputo fractional model has been developed using the generalized Fick’s and Fourier’s laws. The magnetohydrodynamics free convection flow of Casson fluid in a channel has been considered. A new transformation is applied to the energy and mass equations and then solved by using the Laplace and Fourier sine transformations jointly. The final solutions are presented in terms of special function, namely, the Mittag-Leffler function. The effects of various physical parameters have been portrayed in graphs and tables and discussed.
ISSN:1110-0168
DOI:10.1016/j.aej.2019.12.023