Numerical appraisal of the unsteady Casson fluid flow through Finite Element Method (FEM)

Document Type : Article


1 - Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh: 11566, Saudi Arabia - Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

2 - Department of Mathematics, Faculty of Science, Firat University, 23119 Elazig, Turkey - Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

3 Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey


An efficient numerical method is offered to discuss the effects of variable heat
flux, viscous dissipation, and the slip velocity on the viscous Casson heat transfer
(CHT) because the unsteady stretching sheet taken into reckoning the effect of
heat generation or absorption. The finite element method (FEM) is applied to
solve the resulting the ODEs which describe the problem. The effect of the factors
governing the HT such as unsteadiness parameter, slip velocity parameter, Casson
parameter, local Eckert number, heat generation parameter and the Prandtl number
are explored and given. Also, the local skin-friction coefficient and the local Nusselt
number at the stretching sheet are computed and discussed. Finally, the obtained
solutions confirm that the given procedure is an easy and efficient tool for assaying
the solution of such fluid models.


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