Effects of Slip,Viscous Dissipation and Joule Heating on the MHD Flow and Heat Transfer of a Second Grade Fluid Past a Radially Stretching Sheet

Bikash Sahoo

doi:10.3879/j.issn.1000-0887.2010.02.004

Volume 31 Issue 2

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Bikash Sahoo. Effects of Slip,Viscous Dissipation and Joule Heating on the MHD Flow and Heat Transfer of a Second Grade Fluid Past a Radially Stretching Sheet[J]. Applied Mathematics and Mechanics, 2010, 31(2): 150-162. doi: 10.3879/j.issn.1000-0887.2010.02.004

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Effects of Slip,Viscous Dissipation and Joule Heating on the MHD Flow and Heat Transfer of a Second Grade Fluid Past a Radially Stretching Sheet

doi: 10.3879/j.issn.1000-0887.2010.02.004

Bikash Sahoo

Department of Mathematics, National Institute of Technology, Rourkela-769008, India

Received Date: 2008-10-01
Rev Recd Date: 2009-10-20
Publish Date: 2010-02-15

Abstract

Abstract

The flow and heat transfer of an electrically conducting non-New tonian second grade fluiddue to an radially stretching surface with partial slip was considered.The partial slip was controlled by a dimensionless slip factor,which varied between zero(total adhesion) and infin-ity(full slip).Suitable similarity transform ations were used to reduce the resulting highly nonlinear partial differential equations into ordinary differential equations.The issue of paucity of boundary conditions was addressed and an effective numerical scheme was adopted to solve the obtained differential equations even without augmenting any extra boundary conditions.The important findings in this communication are the combined effects of the partial slip,magnetic interaction parameter and the second grade fluid parameter on the velocity and temperature fields.It is interesting to find that the slipincreases the momentum and thermal boundary layer thickness.As slip increases in magnitude,perm ittingmore fluid to slip past the sheet,the skin friction coefficient decreases in magnitude and approaches zero for higher values of the slip parameter,i.e.the fluid behaves as though it were inviscid.The presence of magnetic field has also substantial effects on velocity and temperature fields.
- second grade fluid,
- stretching sheet,
- partial slip,
- heat transfer,
- finite difference method,
- Broyden method

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References(31)

References

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