TITLE:
Numerical Study by Imposing the Finite Difference Method for Unsteady Casson Fluid Flow with Heat Flux
AUTHORS:
Ali H. Tedjani
KEYWORDS:
Casson Model, Unsteady Stretching Sheet, Variable Heat Flux, MHD, Slip Impacts, Thermal Radiation, Finite Difference Method
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.12,
December
20,
2023
ABSTRACT: This article presents an investigation into the flow and heat transfer characteristics of an impermeable stretching sheet subjected to Magnetohydrodynamic Casson fluid. The study considers the influence of slip velocity, thermal radiation conditions, and heat flux. The investigation is conducted employing a robust numerical method that accounts for the impact of thermal radiation. This category of fluid is apt for characterizing the movement of blood within an industrial artery, where the flow can be regulated by a material designed to manage it. The resolution of the ensuing system of ordinary differential equations (ODEs), representing the described problem, is accomplished through the application of the finite difference method. The examination of flow and heat transfer characteristics, including aspects such as unsteadiness, radiation parameter, slip velocity, Casson parameter, and Prandtl number, is explored and visually presented through tables and graphs to illustrate their impact. On the stretching sheet, calculations, and descriptions of the local skin-friction coefficient and the local Nusselt number are conducted. In conclusion, the findings indicate that the proposed method serves as a straightforward and efficient tool for exploring the solutions of fluid models of this kind.