Utilization of OHAM on mixed convective flow of Williamson fluid model with viscous dissipation over a stretched cylinder

Abstract

This research focuses on the fluid dynamics and heat transfer characteristics of the Williamson fluid over a permeable stretched cylinder, accounting for heat generation effects. Incorporating elements such as viscous dissipation, mixed convection, Joule heating, entropy generation, and magnetic field presence, the investigation utilizes the Optimal Homotopy Analysis Method for solution development. Through the process of similarity transformations, the partial differential equations undergo a conversion that results in dimensionless ordinary differential equations. Numerical results from this study align well with existing literature, emphasizing the examination of key dimensionless parameters like Reynolds number, suction parameter, magnetic field parameter, mixed convection parameter, heat source parameter and Williamson fluid parameter. The analysis extends to local Nusselt number and skin friction coefficient computations, offering insights into heat transfer and shear stress rates, correspondingly. Additionally, the research delves into the effects of several physical parameters on temperature and velocity profiles, presenting a comprehensive overview in academic discourse. The study's methodology and findings contribute to the understanding of phenomenon related to heat transfer and fluid flow, making it a valuable addition to the scholarly domain.