Mixed Convection Boundary Layer Flow Near the Stagnation Point on a Vertical Surface With Slip

Fazlina Aman; Anuar Ishak; Ioan Pop

doi:10.3879/j.issn.1000-0887.2011.12.009

Volume 32 Issue 12

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Fazlina Aman, Anuar Ishak, Ioan Pop. Mixed Convection Boundary Layer Flow Near the Stagnation Point on a Vertical Surface With Slip[J]. Applied Mathematics and Mechanics, 2011, 32(12): 1494-1500. doi: 10.3879/j.issn.1000-0887.2011.12.009

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Mixed Convection Boundary Layer Flow Near the Stagnation Point on a Vertical Surface With Slip

doi: 10.3879/j.issn.1000-0887.2011.12.009

Faculty of Science, Arts and Heritage, Universiti Tun Hussein Onn Malaysia, 86400 Parit Raja, Batu Pahat, Johor, Malaysia;
School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;
Faculty of Mathematics, University of Cluj, R-3400 Cluj, CP 253, Romania

Received Date: 2010-01-17
Rev Recd Date: 2011-09-21
Publish Date: 2011-12-15

Abstract

Abstract

A steady mixed convection boundary layer flow of a viscous and incompressible fluid near the stagnation point on a vertical surface with slip effect at the boundary was considered. The temperature of the sheet and the velocity of the external flow were assumed to vary linearly with the distance from the stagnation point. The governing partial differential equations were first transformed into a system of ordinary differential equations, which was then solved numerically by a shooting method. The features of the flow and heat transfer characteristics for different values of the governing parameters were analyzed and discussed. Both assisting and opposing flows were considered. The results indicate that for the opposing flow, dual solutions exist for a certain range of the buoyancy parameter, while for the assisting flow, the solution is unique. In general, the velocity slip increases the heat transfer rate at the surface, while the thermal slip decreases it.
- dual solutions,
- heat transfer,
- mixed convection,
- stagnation point,
- slip

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References(20)

References

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