Computational Investigation of Magneto-Hydro-Dynamically Influenced Elastico-Viscous Williamson Nanofluid Flow Over A Nonlinear Stretching Interface
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Keywords:
Magneto-Hydrodynamic; Elastico-Viscous; Similarity Transformation; Non-Linear Stretching Sheet; Williamson NanofluidAbstract
A rigorous computational analysis is conducted to examine the influence of magnetohydrodynamic effects on the flow of an elastico-viscous Williamson nanofluid over a nonlinearly stretching surface within a suitably defined geometrical framework. The governing partial differential equations describing the fluid motion are systematically transformed into a system of coupled, highly nonlinear ordinary differential equations through the implementation of appropriate similarity transformations, along with the imposition of relevant boundary conditions. These resulting nonlinear equations are numerically solved using the MATLAB built-in boundary value solver bvp4c, incorporating the transformed boundary constraints to extract detailed physical interpretations of the governing flow parameters. The behavior of velocity, temperature, and concentration distributions is thoroughly analyzed, revealing that the velocity field exhibits pronounced fluctuations and oscillatory characteristics in the vicinity of the stretching surface. In contrast, both the thermal and concentration profiles demonstrate a monotonic decay for most variations of the controlling parameters. Furthermore, the study highlights that the inclusion of the elastico-viscous parameter significantly alters the overall flow dynamics within the boundary layer region.
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