Abstract

This paper presents the study of momentum and heat transfer characteristics in a hydromagnetic flow of dusty fluid over an inclined stretching sheet with non-uniform heat source/sink, where the flow is generated due to a linear stretching of the sheet. Using a similarity transformation, the governing equations of the problem are reduced to a coupled third-order nonlinear ordinary differential equations and are solved numerically by Runge-Kutta-Fehlberg fourth-fifth-order method using symbolic software Maple. Our numerical solutions are shown to agree with the available results in the literature and then employ the numerical results to bring out the effects of the fluid-particle interaction parameter, local Grashof number, angle of inclination, heat source/sink parameter, Chandrasekhar number, and the Prandtl number on the flow and heat transfer characteristics. The results have possible technological applications in liquid-based systems involving stretchable materials.

Highlights

  • Investigations of boundary layer flow and heat transfer are important due to its applications in industries, and many manufacturing processes such as aerodynamic extrusion of plastic sheets, cooling of metallic sheets in a cooling bath, which would be in the form of an electrolyte, and polymer sheet extruded continuously from a die are few practical applications of moving surfaces

  • This paper presents the study of momentum and heat transfer characteristics in a hydromagnetic flow of dusty fluid over an inclined stretching sheet with non-uniform heat source/sink, where the flow is generated due to a linear stretching of the sheet

  • Since the study of heat source/sink effect on heat transfer is important in some cases, in the present paper, we studied the hydromagnetic flow and heat transfer of a dusty fluid over an inclined stretching sheet with the effect of non-uniform heat source/sink

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Summary

Introduction

Investigations of boundary layer flow and heat transfer are important due to its applications in industries, and many manufacturing processes such as aerodynamic extrusion of plastic sheets, cooling of metallic sheets in a cooling bath, which would be in the form of an electrolyte, and polymer sheet extruded continuously from a die are few practical applications of moving surfaces. Crane 3 investigated the flow due to a stretching sheet with linear surface velocity and obtained the similarity solution to the problem Later, this problem has been extended to various aspects by considering non-Newtonian fluids, more general stretching velocity, magnetohydrodynamic MHD effects, porous sheets, porous media, and heat or mass transfer. Palani and Ganesan have studied heat transfer effects on dusty gas flow past a semi-infinite inclined plate; in this paper, they have nondimensionalised the governing boundary layer equations. Abel and Mahesha presented an analytical and numerical solution for heat transfer in a steady laminar flow of an incompressible viscoelastic fluid over a stretching sheet with power-law surface temperature, including the effects of variable thermal conductivity and non-uniform heat source and radiation. These equations are solved numerically by RKF 45 using Maple and discussed the results from the physical point of view

Flow Analysis of the Problem
Heat Transfer Analysis
Results and Discussion
Conclusions
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