https://doi.org/10.1140/epjp/s13360-022-03071-1
Regular Article
MHD flow of micropolar and Williamson fluids over a bi-directional stretching sheet
1
KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 10140, Bangkok, Thailand
2
Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, 10140, Bangkok, Thailand
3
Department of Mathematics, Abdul Wali Khan University, Khyber Pakhtunkhwa, 23200, Mardan, Pakistan
4
Department of Medical Research, China Medical University Hospital, China Medical University, 40402, Taichung, Taiwan
c
anwarsaeed769@gmail.com
d
poom.kum@kmutt.ac.th
Received:
10
January
2022
Accepted:
13
July
2022
Published online:
28
July
2022
The current study is presented to simulate the three-dimensional MHD flow of micropolar and Williamson fluids over an extending sheet. The activation energy and thermal radiation influence are presented in the current investigation. The significance of chemical reaction, Brownian motion, and thermophoresis impacts is also calculated. The present flow problem is developed in the form of highly nonlinear PDEs along with the boundary conditions. Appropriate similarity transformations are considered for the transformations of highly nonlinear PDEs into ODEs. For the simplification of the problem, the most powerful analytical method known as the homotopic analysis technique is utilized. The influences of the dimensionless parameters on the flow profiles are examined. Some significant key results of the present analysis are that the skin friction coefficients are reduced with the enhancement of magnetic field and Williamson fluid parameters. Nusselt number is decayed for the Brownian motion and thermophoresis parameters. The nanoliquid temperature becomes lower for higher Prandtl number.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
