Abstract
This study investigates the effects of viscous dissipation and a heat source or sink on the magneto-hydrodynamic laminar boundary layer flow of a Jeffrey fluid past a vertical plate. The governing boundary layer non-linear partial differential equations are reduced to non-linear ordinary differential equations using suitable similarity transformations. The resulting system of dimensionless differential equations is then solved numerically using the bivariate spectral quasi-linearisation method. The effects of some physical parameters that include the Schmidt number, Eckert number, radiation parameter, magnetic field parameter, heat generation parameter, and the ratio of relaxation to retardation times on the velocity, temperature, and concentration profiles are presented graphically. Additionally, the influence of some physical parameters on the skin friction coefficient, local Nusselt number, and the local Sherwood number are displayed in tabular form.
Highlights
The study of fluids, either stationary or in motion has vast applications in science, biology, physiology, medicine, and engineering
Presented are the numerical results of the bivariate spectral quasi-linearisation method (BSQLM) algorithm for solving
A numerical investigation of the magneto-hydrodynamic laminar boundary flow of a Jeffrey fluid past a vertical plate influenced by viscous dissipation and a heat source or sink was completed
Summary
The study of fluids, either stationary or in motion has vast applications in science, biology, physiology, medicine, and engineering. Fluids can be grouped into two classes, Newtonian and non-Newtonian fluids. Newtonian fluids are those fluids that obey Newton’s law of viscosity. Those fluids that deviate from the law are said to be non-Newtonian. Non-Newtonian fluids have found more industrial applications than Newtonian fluids. There is much attention which has been paid on the study of non-Newtonian fluid flow. Some of the non-Newtonian models which have been studied include the Jeffrey model [2,3], the Maxwell model [4,5], the Oldroyd-B model [6,7], and the Herschel–Bulkley model [8,9]
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