Effect of viscous dissipation and heat source on flow and heat transfer of dusty fluid over unsteady stretching sheet

doi:10.1007/s10483-012-1601-9

摘要/Abstract

摘要：

This paper investigates the problem of hydrodynamic boundary layer flow and heat transfer of a dusty fluid over an unsteady stretching surface. The study considers the effects of frictional heating (viscous dissipation) and internal heat generation or ab- sorption. The basic equations governing the flow and heat transfer are reduced to a set of non-linear ordinary differential equations by applying suitable similarity transformations. The transformed equations are numerically solved by the Runge-Kutta-Fehlberg-45 order method. An analysis is carried out for two different cases of heating processes, namely, variable wall temperature (VWT) and variable heat flux (VHF). The effects of various physical parameters such as the magnetic parameter, the fluid-particle interaction pa- rameter, the unsteady parameter, the Prandtl number, the Eckert number, the number density of dust particles, and the heat source/sink parameter on velocity and temperature profiles are shown in several plots. The effects of the wall temperature gradient function and the wall temperature function are tabulated and discussed.

关键词: boundary layer flow, rational mapping function approach, edge crack problem, stress intensity factor, numerical solution, heat transfer, non-uniform heat source, viscous dissipation, stretching surface, dusty fluid

Abstract:

Key words: rational mapping function approach, edge crack problem, stress intensity factor, stretching surface, heat transfer, boundary layer flow, dusty fluid, numerical solution, non-uniform heat source, viscous dissipation

中图分类号:

B. J. GIREESHA;G. S. ROOPA;C. S. BAGEWADI. Effect of viscous dissipation and heat source on flow and heat transfer of dusty fluid over unsteady stretching sheet[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(8): 1001-1014.

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