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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

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

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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

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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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