Analysis of Casson Fluid Flow Past a Stretching Sheet Under Periodic Magnetic Field with Thermal Radiation and Chemical Reactions

Abstract

This investigation explores the behavior of the unsteady non-Newtonian fluid (particularly Casson fluid) past a stretching sheet under the periodic magnetic field. Thermal radiation and higher order chemical reaction are also consider here. The governing equations for continuity, momentum, energy and concentration equation are formed by considering the aforementioned properties. In this study the time dependent governing equations are transformed properly into its non-dimensional form with the help of some dimensionless variables and quantities. A number of dimensionless parameters are obtained when the governing equations are nondimensionalized such as Grashof number (Gr), modified Grashof number (Gm), magnetic parameter (M), Prandtl number (Pr), radiation parameter (R), Dufour number (Du), Schimdt number (Sc), Soret number (Sr) and chemical reaction parameter (Kr). In order to getting the numerical solutions, the explicit finite difference method (EFDM) is used. This investigation provides the interaction of the non-dimensional parameters with some fluid properties like as velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number. The application of non-Newtonian (Casson) fluid can be observed in many kinds of field like manufacturing industries, ink industries, polymer industries, food processing, medicine sectors and engineering sectors. The convergence analysis, along with the stabilization of numerical method has been established and it becomes conclude that the current study has conversed for Pr ≥ 0.2422 and Sc ≥ 0.069. The outcome of this research reveals that the movement of fluid can be dynamically influenced by fluctuations in non-dimensional parameters. Notably, the velocity profile is reduced with the increase of the Prandtl number and magnetic parameter.

GANITJ. Bangladesh Math. Soc. 46.3 (2026) 001–014