Unsteady mhd flow of tangent hyperbolic liquid past a vertical porous plate plate

Naga Pavani M; G Venkata Ramana Reddy; Ali Akgül; Muhammad Bilal Riaz

doi:10.1016/j.heliyon.2023.e18478

Unsteady mhd flow of tangent hyperbolic liquid past a vertical porous plate plate

Heliyon. 2023 Aug 2;9(8):e18478. doi: 10.1016/j.heliyon.2023.e18478. eCollection 2023 Aug.

Authors

Naga Pavani M¹, G Venkata Ramana Reddy², Ali Akgül^{3

4

5}, Muhammad Bilal Riaz^{6

7

8}

Affiliations

¹ Research Scholar, Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, 522302, India.
² Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, 522302, India.
³ Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.
⁴ Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey.
⁵ Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia /Mersin 10, Turkey.
⁶ Faculty of Technical Physics, Information Technology and Applied Mathematics, Lodz University of Technology, 90-924 Lodz, Poland.
⁷ Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon.
⁸ Department of Mathematics, University of Management and Technology, 54770 Lahore, Pakistan.

Abstract

The analysis in this communication addresses the unsteady MHD flow of tangent hyperbolic liquid through a vertical plate. The model on mass and heat transport is set up with Joule heating, heat generation, viscous dissipation, thermal radiation, chemical reaction and Soret-Dufour in the form of partial differential equations (PDEs). The PDEs are simplified into a dimensionless PDEs by utilizing a suitable quantities. The simplified equations are solved by utilizing the spectral relaxation method (SRM). The outcomes shows that increase in the Weissenberg and the magnetic field degenerates the velocity profile. The thermal radiation is found to elevate the velocity and temperature profiles as its values increases. The impact of Soret and Dufour on the flow is found to alternate each other. The computational outcomes for concentration, temperature and velocity are illustrated graphically for all encountered flow parameters. The present outcomes are compared with previous outcomes and are found to correlate.

Keywords: Joule heating; Non-Newtonian liquid; Spectral relaxation method.