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

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 couplestress 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. (C)2022 L&H Scienti fic Publishing, LLC. All rights reserved.