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Fractional Analysis of Viscous Fluid Flow with Heat and Mass Transfer Over a Flexible Rotating Disk
Muhammad Shuaib1, Muhammad Bilal1, Muhammad Altaf Khan2, *, Sharaf J. Malebary3
1 Department of Mathematics, City University of Science and Information Technology, Peshawar, Pakistan.
2 Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein, South Africa.
3 Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Rabigh, Saudia Arabia.
∗ Corresponding Author: Muhammad Altaf Khan. Email: .
(This article belongs to this Special Issue: Numerical Methods for Differential and Integral Equations)
Computer Modeling in Engineering & Sciences 2020, 123(1), 377-400. https://doi.org/10.32604/cmes.2020.08076
Received 25 July 2019; Accepted 14 November 2019; Issue published 01 April 2020
Abstract
An unsteady viscous fluid flow with Dufour and Soret effect, which results
in heat and mass transfer due to upward and downward motion of flexible rotating disk,
has been studied. The upward or downward motion of non rotating disk results in
two dimensional flow, while the vertical action and rotation of the disk results in three
dimensional flow. By using an appropriate transformation the governing equations are
transformed into the system of ordinary differential equations. The system of ordinary
differential equations is further converted into first order differential equation by selecting
suitable variables. Then, we generalize the model by using the Caputo derivative. The
numerical result for the fractional model is presented and validated with Runge Kutta order
4 method for classical case. The compared results are presented in Table and Figures. It is
concluded that the fractional model is more realistic than that of classical one, because it
simulates the fluid behavior at each fractional value rather than the integral values.
Keywords
Cite This Article
Shuaib, M., Bilal, M., Khan, M. A., Malebary, S. J. (2020). Fractional Analysis of Viscous Fluid Flow with Heat and Mass Transfer Over a Flexible Rotating Disk.
CMES-Computer Modeling in Engineering & Sciences, 123(1), 377–400.
Citations