Mixed Convection Flow in a Vertical Channel With Boundary Conditions of the Third Kind in the Presence of Heat Source/Sink

J.C.Umavathi; J.Prathap Kumar; Jaweriya Sultana

doi:10.3879/j.issn.1000-0887.2012.08.005

Volume 33 Issue 8

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J.C.Umavathi, J.Prathap Kumar, Jaweriya Sultana. Mixed Convection Flow in a Vertical Channel With Boundary Conditions of the Third Kind in the Presence of Heat Source/Sink[J]. Applied Mathematics and Mechanics, 2012, 33(8): 957-973. doi: 10.3879/j.issn.1000-0887.2012.08.005

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Mixed Convection Flow in a Vertical Channel With Boundary Conditions of the Third Kind in the Presence of Heat Source/Sink

doi: 10.3879/j.issn.1000-0887.2012.08.005

Department of Mathematics, Gulbarga University, Gulbarga 585106, Karnataka, India

Received Date: 2011-03-16
Rev Recd Date: 2012-03-29
Publish Date: 2012-08-15

Abstract

Abstract

The effects of viscous dissipation and heat source/sink on fully-developed mixed convection for the laminar flow in a parallelplate vertical channel were investigated. The plate exchanged heat with an external fluid. Both conditions of equal and of different reference temperatures of the external fluid were considered. First, the simple cases of negligible Brinkman number or negligible Grashof number were solved analytically. Then, the combined effects of buoyancy forces and viscous dissipation in the presence of heat source/sink were analyzed by a perturbation series method valid for small values of perturbation parameter. To relax the conditions on perturbation parameter, the velocity and temperature fields were solved using Runge-Kutta fourth-order method with shooting technique. The velocity, temperature, skin friction and Nusselt numbers at the plates were discussed numerically and presented through graphs.
- mixed convection,
- viscous fluid,
- perturbation method,
- Runge-Kutta shooting method,
- heat source/sink

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References(18)

References

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