Analysis of fluid motion and heat transport on magnetohydrodynamic boundary layer past a vertical power law stretching sheet with hydrodynamic and thermal slip effects

Badr Alkahtani,M Subhas Abel,Emad H Aly

doi:10.1063/1.4939136

Badr Alkahtani, M Subhas Abel + Show 1 more

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https://doi.org/10.1063/1.4939136

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Abstract

The present model is committed to the study of MHD boundary layer flow and heat transfer past a nonlinear vertically stretching porous stretching sheet with the effects of hydrodynamic and thermal slip. The boundary value problem, consisting of boundary layer equations of motion and heat transfer, which are nonlinear partial differential equations are transformed into nonlinear ordinary differential equations, with the aid of similarity transformation. This problem has been solved, using Runge Kutta fourth order method with shooting technique. The effects of various physical parameters, such as, stretching parameter m, magnetic parameter M, porosity parameter fw, buoyancy parameter λ, Prandtl number Pr, Eckert number Ec, hydrodynamic slip parameter γ, and thermal slip parameter δ, on flow and heat transfer characteristics, are computed and represented graphically.

Highlights

The present model is committed to the study of MHD boundary layer flow and heat transfer past a nonlinear vertically stretching porous stretching sheet with the effects of hydrodynamic and thermal slip
In view of tremendous applications in industrial manufacturing processes, the problem of viscous fluid flow and heat transport over stretching surfaces has captivated the attention of fluid dynamics experts, for decades, has been the area under discussion of vast interest in the existing literature
MHD flow and heat transfer over astretching surface with prescribed heat flux was considered by M Kumari etal.[6] Similarity solutions for MHD flow over continuosly moving flat plate with hall effects was considered by Watanabe and Pop.[7]

Summary

INTRODUCTION

In view of tremendous applications in industrial manufacturing processes, the problem of viscous fluid flow and heat transport over stretching surfaces has captivated the attention of fluid dynamics experts, for decades, has been the area under discussion of vast interest in the existing literature. Considering the magnetic field effect, a variety of physical properties for the flow and heat transfer over stretching/shrinking sheet were analytically investigated in Turkyilmazoglu.[19,20] Recently, Fang et al.[21] considered the effects of second order slip on the flow of a shrinking as well as stretching sheet that was studied by Vajravelu et al.[22] In case of slip-flow, if the separation of individual molecules occurs at the nanoscales, one can explain main transport phenomena in nano fluidic systems with a theory depending on continuum and mean-field approaches.[23] Boundary layer flow and heat transfer characteristics over stretching surfaces have been the topics of extensive research due to their wide range of applications, such as manufacturing of food and paper, stretching of plastic films and many others. Motivated by the above studies, an investigation concerned to the effect of hydrodynamic and thermal slip on the performance of fluid flow and thermal transport of an Magneto hydrodynamic fluid over a permeable vertical nonlinear stretching sheet in the presence of viscous and Ohmic dissipations, is considered in this paper

MATHEMATICAL FORMULATION OF THE PROBLEM

NUMERICAL SOLUTION

RESULTS AND DISCUSSION

COMPARATIVE STUDY