ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Lie-Symmetry Analysis of Couple-Stress Fluid Flow and Heat Transfer Past in a Bidirectional Moving Sheet

Journal of Applied Nonlinear Dynamics 11(3) (2022) 767--775 | DOI:10.5890/JAND.2022.09.015

Bidyut Mandal

Department of Mathematics, The University of Burdwan, Burdwan-713104, West Bengal, India

Abstract

This work explores the steady boundary layer flow and heat transfer of a couple-stress fluid flowing over a bidirectional movable surface. The Lie group of symmetry transformations are employed for determining the possible invariant solutions of the governing equations for fluid flow and heat transfer. The self-similar equations are solved numerically and plotted graphically. It is observed that fluid velocities in both $x$ and $y$ directions increase due to the increase of the couple-stress parameter. The stretching ratio parameter suppresses the flow boundary layer in the $x$-direction, but it extends in the $y$-direction. The thermal boundary layer thickness reduces for increasing values of couple stress parameter, stretching ratio parameter, Prandtl number, and power-law index parameter on wall temperature, but opposite behavior occurs for radiation parameter.

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