A fractal-fractional model for the mhd flow of casson fluid in a channel

Sheikh, N.A. and Ching, D.L.C. and Abdeljawad, T. and Khan, I. and Jamil, M. and Nisar, K.S. (2021) A fractal-fractional model for the mhd flow of casson fluid in a channel. Computers, Materials and Continua, 67 (2). pp. 1385-1398.

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An emerging definition of the fractal-fractional operator has been used in this study for the modeling of Casson fluid flow. The magnetohydrodynamics flow of Casson fluid has cogent in a channel where the motion of the upper plate generates the flow while the lower plate is at a static position. The proposed model is non-dimensionalized using the Pi-Buckingham theorem to reduce the complexity in solving the model and computation time. The non-dimensional fractal-fractional model with the power-law kernel has been solved through the Laplace transform technique. The Mathcad software has been used for illustration of the influence of various parameters, i.e., Hartman number, fractal, fractional, and Casson fluid parameters on the velocity of fluid flow. Through graphs and tables, the results have been implemented and it is shown that the boundary conditions are fully satisfied. The results reveal that the flow velocity is decreasing with the increasing values of the Hartman number and is increasing with the increasing values of the Casson fluid parameter. The findings of the fractal-fractional model have elucidated that the memory effect of the flow model has higher quality than the simple fractional and classical models. Furthermore, to show the validity of the obtained closed-form solutions, special cases have been obtained which are in agreement with the already published solutions. © 2021 Tech Science Press. All rights reserved.

Item Type:Article
Impact Factor:cited By 1
Uncontrolled Keywords:Flow velocity; Fractals; Laplace transforms; Magnetohydrodynamics, Closed form solutions; Fractional model; Fractional operators; Laplace transform techniques; Magnetohydrodynamics flows; MathCAD software; Modeling and computation; Static positions, Flow of fluids
ID Code:23958
Deposited By: Ms Sharifah Fahimah Saiyed Yeop
Deposited On:19 Aug 2021 13:23
Last Modified:19 Aug 2021 13:23

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