Mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet

Research output: Contribution to journalArticle

151 Citations (Scopus)

Abstract

An analysis is made for the steady mixed convection boundary layer flow near the two-dimensional stagnation-point flow of an incompressible viscous fluid over a stretching vertical sheet in its own plane. The stretching velocity and the surface temperature are assumed to vary linearly with the distance from the stagnation-point. Two equal and opposite forces are impulsively applied along the x-axis so that the wall is stretched, keeping the origin fixed in a viscous fluid of constant ambient temperature. The transformed ordinary differential equations are solved numerically for some values of the parameters involved using a very efficient numerical scheme known as the Keller-box method. The features of the flow and heat transfer characteristics are analyzed and discussed in detail. Both cases of assisting and opposing flows are considered. It is observed that, for assisting flow, both the skin friction coefficient and the local Nusselt number increase as the buoyancy parameter increases, while only the local Nusselt number increases but the skin friction coefficient decreases as the Prandtl number increases. For opposing flow, both the skin friction coefficient and the local Nusselt number decrease as the buoyancy parameter increases, but both increase as Pr increases. Comparison with known results is excellent.

Original languageEnglish
Pages (from-to)509-518
Number of pages10
JournalMeccanica
Volume41
Issue number5
DOIs
Publication statusPublished - Oct 2006

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Mixed convection
stagnation point
Skin friction
Nusselt number
Stretching
boundary layers
Boundary layers
convection
skin friction
Buoyancy
coefficient of friction
viscous fluids
Fluids
buoyancy
Boundary layer flow
Prandtl number
Ordinary differential equations
boundary layer flow
Heat transfer
Temperature

Keywords

  • Boundary layer
  • Heat transfer
  • Stagnation-point flow
  • Stretching sheet fluid mechanics

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

Mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet. / Mohd Ishak, Anuar; Mohd. Nazar, Roslinda; Pop, I.

In: Meccanica, Vol. 41, No. 5, 10.2006, p. 509-518.

Research output: Contribution to journalArticle

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AB - An analysis is made for the steady mixed convection boundary layer flow near the two-dimensional stagnation-point flow of an incompressible viscous fluid over a stretching vertical sheet in its own plane. The stretching velocity and the surface temperature are assumed to vary linearly with the distance from the stagnation-point. Two equal and opposite forces are impulsively applied along the x-axis so that the wall is stretched, keeping the origin fixed in a viscous fluid of constant ambient temperature. The transformed ordinary differential equations are solved numerically for some values of the parameters involved using a very efficient numerical scheme known as the Keller-box method. The features of the flow and heat transfer characteristics are analyzed and discussed in detail. Both cases of assisting and opposing flows are considered. It is observed that, for assisting flow, both the skin friction coefficient and the local Nusselt number increase as the buoyancy parameter increases, while only the local Nusselt number increases but the skin friction coefficient decreases as the Prandtl number increases. For opposing flow, both the skin friction coefficient and the local Nusselt number decrease as the buoyancy parameter increases, but both increase as Pr increases. Comparison with known results is excellent.

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