A Numerical Approach to the Boundary Layer Flow of Williamson Fluids via Similarity Transformation

Abstract: This study focuses on the laminar boundary layer flow of Williamson fluids over a wedge, utilizing similarity transformation techniques to reduce the governing nonlinear partial differential equations into ordinary differential equations. Scaling group transformation technique is applied to derive similarity solutions, and numerical computations are carried out using MATLAB's ODE solver to explore the effects of Williamson fluid parameters on flow characteristics. Graphical representations of velocity profiles and their slopes are generated for varying dimensionless parameters, demonstrating significant influence on fluid behavior.

Keywords: Scaling group transformation, Williamson fluid, MATLAB ODE solver, Boundary layer flow.