Abstract

An analysis has been carried out to study the effect of hydrodynamic laminar boundary layer flow and heat transfer of a dusty fluid over an unsteady stretching surface in the presence of non-uniform heat source/sink. Heat transfer characteristics are examined for two different kinds of boundary conditions, namely 1) variable wall temperature and 2) variable heat flux. The governing partial differential equations are transformed to system of ordinary differential equations. These equations are solved numerically by applying RKF-45 method. The effects of various physical parameters such as magnetic parameter, dust interaction parameter, number density, Prandtl number, Eckert number, heat source/sink parameter and unsteadiness parameter on velocity and temperature profiles are studied.

Highlights

  • The momentum and heat transfer in the laminar boundary layer flow on a continuous moving surface are important from theoretical as well as practical points of view because of their wide range of applications in polymer technology and industrial manufacturing process

  • An analysis has been carried out to study the effect of hydrodynamic laminar boundary layer flow and heat transfer of a dusty fluid over an unsteady stretching surface in the presence of non-uniform heat source/sink

  • In the light of this, the purpose of this article is to study the effect of magnetic field on unsteady boundary layer flow and heat transfer of a dusty fluid over a stretching sheet in the presence of non-uniform heat source/sink

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Summary

Introduction

The momentum and heat transfer in the laminar boundary layer flow on a continuous moving surface are important from theoretical as well as practical points of view because of their wide range of applications in polymer technology and industrial manufacturing process. Some examples are in the extrusion of a polymer in a melt-spinning process, metals and plastics, cooling of an infinite metallic plate in a cooling bath, the boundary layer along material handling conveyers, the aerodynamic extrusion of plastic sheets, the boundary layer along a liquid film in condensation processes, glass blowing, the cooling and/or drying of papers, drawing plastic films, continuous casting and spinning of fibers. In these cases the quality of the final product depends on the rate of heat transfer at the stretching surface. The effects of buoyancy force on the development of velocity and thermal boundary layer flows over a stretching sheet has been initiated by Chen [5]

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