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

F. Aman, Anuar Mohd Ishak, I. Pop

Research output: Contribution to journalArticle

32 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1599-1606
Number of pages8
JournalApplied Mathematics and Mechanics (English Edition)
Volume32
Issue number12
DOIs
Publication statusPublished - Dec 2011

Fingerprint

Stagnation Point
Mixed Convection
Mixed convection
Boundary layer flow
Boundary Layer Flow
Slip
Vertical
Heat transfer
Buoyancy
Ordinary differential equations
Partial differential equations
Heat Transfer
Fluids
Dual Solutions
Shooting Method
System of Ordinary Differential Equations
Viscous Fluid
Incompressible Fluid
Temperature
Partial differential equation

Keywords

  • Dual solution
  • Heat transfer
  • Mixed convection
  • Slip
  • Stagnation-point

ASJC Scopus subject areas

  • Applied Mathematics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Mixed convection boundary layer flow near stagnation-point on vertical surface with slip. / Aman, F.; Mohd Ishak, Anuar; Pop, I.

In: Applied Mathematics and Mechanics (English Edition), Vol. 32, No. 12, 12.2011, p. 1599-1606.

Research output: Contribution to journalArticle

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