Stability analysis of impinging oblique stagnation-point flow over a permeable shrinking surface in a viscoelastic fluid

Kohilavani Naganthran, Roslinda Mohd. Nazar, Ioan Pop

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

This study attempts to present the stability of dual solutions obtained from impinging inclined stagnation-point flow past a permeable shrinking flat plate in a viscoelastic fluid. The similarity transformation helps to simplify the complex model in the form of partial differential equations, into a system of ordinary differential equations. The bvp4c function provides the numerical solutions according to the variations in the governing parameters. The skin friction along the permeable shrinking surface is dependent on the elasticity of the fluid. A higher degree of shrinking persuades quicker flow separations. The dual solutions are apparent when the sheet is stretching/shrinking. Stability analysis reveals that the second solution is unstable and therefore, may not be practicable. The results from this study can be useful to explain and enhance the hydraulic fracturing system in the mining industry. All numerical results presented are original and new for the study of fluid flow and heat transfer of inclined stagnation-point flow towards a permeable shrinking surface in a viscoelastic fluid.

Original languageEnglish
Pages (from-to)663-671
Number of pages9
JournalInternational Journal of Mechanical Sciences
Volume131-132
DOIs
Publication statusPublished - 1 Oct 2017

Fingerprint

stagnation point
Fluids
fluids
flow separation
skin friction
fracturing
flat plates
hydraulics
partial differential equations
fluid flow
differential equations
elastic properties
heat transfer
industries
Hydraulic fracturing
Flow separation
Skin friction
Mineral industry
Ordinary differential equations
Partial differential equations

Keywords

  • Heat transfer
  • Oblique
  • Shrinking surface
  • Stability analysis
  • Stagnation-point flow
  • Viscoelastic fluid

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Stability analysis of impinging oblique stagnation-point flow over a permeable shrinking surface in a viscoelastic fluid. / Naganthran, Kohilavani; Mohd. Nazar, Roslinda; Pop, Ioan.

In: International Journal of Mechanical Sciences, Vol. 131-132, 01.10.2017, p. 663-671.

Research output: Contribution to journalArticle

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