Comparative study of Newtonian heating and Robin's conditions for stokes’ second problem Casson fluid flow

Abstract

In this study, an investigation is made to evaluate the heat transport properties of Casson fluid over an infinite flat plate. Initially, the plate accelerates within its plane, only to gradually decelerate until it comes to a complete stop. This variation in plate velocity introduces a dynamic component to the problem, enriching the understanding of heat transport phenomena. To accurately convert the governing partial differential equations, the study employs a mathematical transformation that converts them into a set of coupled nonlinear ordinary differential equations (ODEs). The numerical solution of these ODEs is carried out using the computational software MAPLE 2022, with a stringent convergence control threshold set at 10−6. This numerical approach ensures precision in analyzing the complex fluid dynamics and heat transfer phenomena under consideration. The study contributes to understanding heat transport in Casson fluids, especially in scenarios involving plate acceleration and deceleration.

Keywords

• Casson fluid
• Stoke's second problem
• Newtonian heating
• Robin's condition
• Nusselt number