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Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method


Lund, Liaquat Ali and Omar, Zurni and Alharbi, Sayer O. and Khan, Ilyas and Nisar, Kottakkaran Sooppy (2019) Numerical investigation of multiple solutions for caputo fractional-order-two dimensional magnetohydrodynamic unsteady flow of generalized viscous fluid over a shrinking sheet using the Adams-type predictor-corrector method. Coatings, 9 (548). pp. 1-12. ISSN 2079-6412

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Abstract

In this paper, magnetohydrodynamic (MHD) flow over a shrinking sheet and heat transfer with viscous dissipation has been studied. The governing equations of the considered problem are transformed into ordinary differential equations using similarity transformation. The resultant equations are converted into a system of fractional differential boundary layer equations by employing a Caputo derivative which is then solved numerically using the Adams-type predictor-corrector method (APCM). The results show the existence of two ranges of solutions, namely, dual solutions and no solution. Moreover, the results indicate that dual solutions exist for a certain range of specific parameters which are in line with the results of some previously published work. It is also observed that the velocity boundary layer decreases as the suction and magnetic parameters increase.

Item Type: Article
Uncontrolled Keywords: APCM; Caputo derivative; dual solutions; unsteady flow; MHD; shrinking surface
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: School of Quantitative Sciences
Depositing User: Mrs. Norazmilah Yaakub
Date Deposited: 29 Oct 2019 01:13
Last Modified: 29 Oct 2019 01:13
URI: http://repo.uum.edu.my/id/eprint/26532

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