Stagnation point flow towards a stretching/shrinking sheet in a micropolar fluid with a convective surface boundary condition

Nor Azizah Yacob, Anuar Mohd Ishak

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24 Citations (Scopus)

Abstract

The problem of a steady laminar two-dimensional stagnation point flow towards a stretching/shrinking sheet in a micropolar fluid with a convective surface boundary condition is studied. The governing partial differential equations are transformed into ordinary differential equations using a similarity transformation, before being solved numerically using the Runge-Kutta-Fehlberg method with shooting technique. The effects of the material parameter and the convective parameter on the fluid flow and heat transfer characteristics are disscussed. It is found that the skin friction coefficient and the heat transfer rate at the surface decrease with increasing values of the material parameter. Moreover, dual solutions are found to exist for the shrinking case, while for the stretching case, the solution is unique.

Original languageEnglish
Pages (from-to)621-626
Number of pages6
JournalCanadian Journal of Chemical Engineering
Volume90
Issue number3
DOIs
Publication statusPublished - Jun 2012

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Stretching
Boundary conditions
Heat transfer
Fluids
Runge Kutta methods
Skin friction
Ordinary differential equations
Partial differential equations
Flow of fluids

Keywords

  • Convective boundary condition
  • Heat transfer
  • Micropolar fluid
  • Similarity solution

ASJC Scopus subject areas

  • Chemical Engineering(all)

Cite this

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AB - The problem of a steady laminar two-dimensional stagnation point flow towards a stretching/shrinking sheet in a micropolar fluid with a convective surface boundary condition is studied. The governing partial differential equations are transformed into ordinary differential equations using a similarity transformation, before being solved numerically using the Runge-Kutta-Fehlberg method with shooting technique. The effects of the material parameter and the convective parameter on the fluid flow and heat transfer characteristics are disscussed. It is found that the skin friction coefficient and the heat transfer rate at the surface decrease with increasing values of the material parameter. Moreover, dual solutions are found to exist for the shrinking case, while for the stretching case, the solution is unique.

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