Effect of Viscous Dissipation and Heat Source on Flow and Heat Transfer of a Dusty Fluid Over an Unsteady Stretching Sheet

B.J.Gireesha; G.S.Roopa; C.S.Bagewadi

doi:10.3879/j.issn.1000-0887.2012.08.004

Volume 33 Issue 8

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B.J.Gireesha, G.S.Roopa, C.S.Bagewadi. Effect of Viscous Dissipation and Heat Source on Flow and Heat Transfer of a Dusty Fluid Over an Unsteady Stretching Sheet[J]. Applied Mathematics and Mechanics, 2012, 33(8): 943-956. doi: 10.3879/j.issn.1000-0887.2012.08.004

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Effect of Viscous Dissipation and Heat Source on Flow and Heat Transfer of a Dusty Fluid Over an Unsteady Stretching Sheet

doi: 10.3879/j.issn.1000-0887.2012.08.004

Department of Studies and Research in Mathematics, Kuvempu University,Shankaraghatta577-451, Shimoga, Karnataka, India

Received Date: 2011-04-02
Rev Recd Date: 2012-03-28
Publish Date: 2012-08-15

Abstract

Abstract

The problem of hydrodynamic boundary layer flow and heat transfer of a dusty fluid over an unsteady stretching surface was investigated.The study considered the effects of frictional heating (viscous dissipation) and internal heat generation or absorption. The basic equations governing the flow and heat transfer were reduced to a set of nonlinear ordinary differential equations by applying suitable similarity transformations. The transformed equations were solved numerically by Runge-Kutta-Fehlberg-45 order method. An analysis was 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 magnetic parameter, fluid-particle interaction parameter, unsteady parameter, Prandtl number, Eckert number, number density of dust particles and heat source/sink parameter on velocity and temperature profiles were shown in several plots and the effect of wall temperature gradient function and wall temperature function were tabulated and discussed.
- heat transfer,
- boundary layer flow,
- stretching surface,
- dusty fluid,
- viscous dissipation,
- non-uniform heat source,
- numerical solution

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References(24)

References

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