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Applied Mathematics and Mechanics

, Volume 32, Issue 12, pp 1599–1606 | Cite as

Mixed convection boundary layer flow near stagnation-point on vertical surface with slip

  • F. Aman
  • A. IshakEmail author
  • I. Pop
Article

Abstract

This paper considers the steady mixed convection boundary layer flow of a viscous and incompressible fluid near the stagnation-point on a vertical surface with the slip effect at the boundary. The temperature of the sheet and the velocity of the external flow are assumed to vary linearly with the distance from the stagnation-point. The governing partial differential equations are first transformed into a system of ordinary differential equations, which are then solved numerically by a shooting method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Both assisting and opposing flows are considered. The results indicate that for the opposing flow, the dual solutions exist in 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.

Key words

dual solution heat transfer mixed convection stagnation-point slip 

Chinese Library Classification

O357.4+O357.1 

2010 Mathematics Subject Classification

76D10 34B15 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Faculty of Science, Arts and HeritageUniversiti Tun Hussein Onn MalaysiaParit Raja, Batu Pahat, JohorMalaysia
  2. 2.School of Mathematical Sciences, Faculty of Science and TechnologyUniversiti Kebangsaan MalaysiaUKM Bangi, SelangorMalaysia
  3. 3.Faculty of MathematicsUniversity of ClujClujRomania

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