Three-dimensional mixed convection stagnation-point flow over a permeable vertical stretching/shrinking surface with a velocity slip

Anuar Jamaludin, Roslinda Mohd. Nazar, Ioan Pop

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

This paper reports on the findings of a study attempting to investigate the steady three-dimensional mixed convection stagnation-point flow past a permeable vertical stretching/shrinking sheet with a velocity slip. In doing so, similarity transformations had to be used to help transform the partial differential equations into ordinary (similarity) differential equations, which were then solved numerically using MATLAB programme bvp4c with different values of the governing parameters. The findings of the study revealed that it was the ordinary (similarity) differential equations that had dual (upper and lower branch) solutions within a certain range of the mixed convection parameter, stretching/shrinking parameter, suction parameter and velocity slip parameter. A stability analysis was implemented in order to test the stability of the branch solutions. The effects of the governing parameters on the reduced skin friction coefficients, reduced local Nusselt number, dimensionless velocity and temperature profiles are presented graphically and discussed in detail.

Original languageEnglish
Pages (from-to)1865-1882
Number of pages18
JournalChinese Journal of Physics
Volume55
Issue number5
DOIs
Publication statusPublished - 1 Oct 2017

Fingerprint

stagnation point
slip
convection
differential equations
skin friction
suction
Nusselt number
partial differential equations
temperature profiles
coefficient of friction
velocity distribution

Keywords

  • Mixed convection
  • Numerical solution
  • Stability analysis
  • Stagnation-point
  • Stretching/shrinking surface
  • Three-dimensional flow

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Three-dimensional mixed convection stagnation-point flow over a permeable vertical stretching/shrinking surface with a velocity slip. / Jamaludin, Anuar; Mohd. Nazar, Roslinda; Pop, Ioan.

In: Chinese Journal of Physics, Vol. 55, No. 5, 01.10.2017, p. 1865-1882.

Research output: Contribution to journalArticle

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AB - This paper reports on the findings of a study attempting to investigate the steady three-dimensional mixed convection stagnation-point flow past a permeable vertical stretching/shrinking sheet with a velocity slip. In doing so, similarity transformations had to be used to help transform the partial differential equations into ordinary (similarity) differential equations, which were then solved numerically using MATLAB programme bvp4c with different values of the governing parameters. The findings of the study revealed that it was the ordinary (similarity) differential equations that had dual (upper and lower branch) solutions within a certain range of the mixed convection parameter, stretching/shrinking parameter, suction parameter and velocity slip parameter. A stability analysis was implemented in order to test the stability of the branch solutions. The effects of the governing parameters on the reduced skin friction coefficients, reduced local Nusselt number, dimensionless velocity and temperature profiles are presented graphically and discussed in detail.

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