T. Salahuddin

Homogenous–heterogeneous reactions in MHD flow of Powell–Eyring fluid over a stretching sheet with Newtonian heating

Abstract This article addresses the effects of homogenous–heterogeneous reactions on electrically conducting boundary layer fluid flow and heat transfer characteristics over a stretching sheet with Newtonian heating are examined. Using similarity transformations, the governing equations are transformed into nonlinear ordinary differential equations. The constricted ordinary differential equations are solved computationally by shooting technique. The impact of pertinent physical parameters on the velocity, concentration and temperature profiles is discussed and explored via figures and tables. It is clear from figures that the velocity profile reduces for large values of fluid parameter B and Hartmann number H. Skin friction coefficient decreases for large values of Hartmann number H and fluid parameter B. Also, heat transfer rate monotonically enhances with conjugate parameter of Newtonian heating γ and Prandtl number Pr.

Computational and physical aspects of MHD Prandtl-Eyring fluid flow analysis over a stretching sheet

This paper explores the physical and computational aspects of normally applied magnetic field on non-Newtonian Prandtl-Eyring fluid flow over a stretching sheet. The Prandtl-Eyring fluid is a non-Newtonian viscoinelastic fluid model capable of describing zero shear rate viscosity effects. Stretching of a sheet induces the flow (Couette flow). The mathematical formulation of the problem gives a highly non-linear system of partial differential equations. By means of a scaling group of transformations, the partial differential equations are transfigured into ordinary differential equation. The implicit finite difference scheme Keller-Box is implemented to solve the resulting equation. The expression for dimensionless velocity is calculated numerically and inclusive pictures of its physical characteristics are analyzed very concisely and briefly. The influence of different pertinent parameters is displayed via graphs, which are plotted against variation in parameters. Computation of the skin friction coefficient is accomplished, and effects of influential parameters are analyzed via graphs and tables. The accuracy of the present solution is certified by displaying contrast between present and existing literature. It is important to remark that the results have shown excellent agreement up to significant number of digits.