Numerical treatment for processing the effect of convective thermal condition and Joule heating on Casson fluid flow past a stretching sheet

Amr M. S. Mahdy, M. M. Babatin () and M. M. Khader ()
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Amr M. S. Mahdy: Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia
M. M. Babatin: ��Department of Mathematics and Statistics, College of Science, Imam Mohammad, Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia
M. M. Khader: ��Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

International Journal of Modern Physics C (IJMPC), 2022, vol. 33, issue 08, 1-10

Abstract: In this work, an approximate analytical solution for the problem of non-Newtonian Casson fluid flow past a porous exponentially stretching sheet with Joule heating and convective boundary condition is obtained using a relatively new technique; He’s homotopy perturbation (HPM). The major feature of HPM is that it does not need the small parameters in the equations, and hence the determination of classical perturbation can be discarded. Due to the complete efficiency of the HPM, it becomes practically well suited for use in this field of study. Also, the obtained solutions for both the velocity and temperature field are graphically sketched. The results reveal that the method is very effective, convenient and quite accurate to systems of nonlinear equations.

Keywords: HPM; Casson fluid; Joule heating; MHD; slip effects; convective thermal condition (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S012918312250108X

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