Stagnation Point Flow of a Micropolar Fluid over a Stretching/Shrinking Sheet with Second-Order Velocity Slip

Rajesh Sharma, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The steady stagnation point flow of a micropolar fluid over a stretching/shrinking sheet with second-order velocity slip is studied. Similarity equations are obtained using similarity transformation, which are then solved numerically using MATLAB routine boundary value problem solver (bvp4c) based on the finite-difference method. Numerical results show that dual solutions exist for a certain range of the shrinking parameter. The dual solutions for velocity and microrotation distribution with first-order, second-order velocity slip parameter and micropolar parameter are shown graphically. It is observed that the range of the stretching/shrinking parameter for which the solution exists increases with the increase of the first-order slip parameter and micropolar parameter, whereas it decreases with the increase of the second-order slip parameter. The linear stability analysis of the obtained results was performed to show that the first solution branch is linearly stable, whereas the other is always unstable.

Original languageEnglish
Article number04016025
JournalJournal of Aerospace Engineering
Volume29
Issue number5
DOIs
Publication statusPublished - 1 Sep 2016

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Stretching
Fluids
Linear stability analysis
Finite difference method
MATLAB
Boundary value problems

Keywords

  • Dual solution
  • Micropolar fluid
  • Stability
  • Stagnation flow
  • Stretching/shrinking sheet
  • Velocity slip

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanical Engineering

Cite this

Stagnation Point Flow of a Micropolar Fluid over a Stretching/Shrinking Sheet with Second-Order Velocity Slip. / Sharma, Rajesh; Mohd Ishak, Anuar; Pop, Ioan.

In: Journal of Aerospace Engineering, Vol. 29, No. 5, 04016025, 01.09.2016.

Research output: Contribution to journalArticle

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