Stagnation-point flow toward a stretching/shrinking sheet in a nanofluid containing both nanoparticles and gyrotactic microorganisms

Khairy Zaimi, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

The stagnation-point flow and heat transfer toward a stretching/shrinking sheet in a nanofluid containing gyrotactic microorganisms with suction are investigated. Using a similarity transformation, the nonlinear system of partial differential equations is converted into nonlinear ordinary differential equations. These resulting equations are solved numerically using a shooting method. The skin friction coefficient, local Nusselt number, local Sherwood number, and the local density of the motile microorganisms as well as the velocity, temperature, nanoparticle volume fraction and the density of motile microorganisms profiles are analyzed subject to several parameters of interest, namely suction parameter, thermophoresis parameter, Brownian motion parameter, Lewis number, Schmidt number, bioconvection Péclet number, and the stretching/shrinking parameter. It is found that dual solutions exist for a certain range of the stretching/shrinking parameter for both shrinking and stretching cases. The results indicate that the skin friction coefficient, local Nusselt number, local Sherwood number, and the local density of the motile microorganisms increase with suction effect. It is also observed that suction widens the range of the stretching/shrinking parameter for which the solution exists.

Original languageEnglish
Article number041705
JournalJournal of Heat Transfer
Volume136
Issue number4
DOIs
Publication statusPublished - Apr 2014

Fingerprint

stagnation point
microorganisms
Microorganisms
Stretching
Nanoparticles
suction
nanoparticles
Skin friction
Nusselt number
skin friction
Thermophoresis
coefficient of friction
Brownian movement
thermophoresis
Ordinary differential equations
Schmidt number
Lewis numbers
Partial differential equations
Nonlinear systems
Volume fraction

Keywords

  • dual solutions
  • gyrotactic microorganisms
  • heat transfer
  • nanofluids
  • stagnation-point flow
  • stretching/shrinking sheet

ASJC Scopus subject areas

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

Cite this

Stagnation-point flow toward a stretching/shrinking sheet in a nanofluid containing both nanoparticles and gyrotactic microorganisms. / Zaimi, Khairy; Mohd Ishak, Anuar; Pop, Ioan.

In: Journal of Heat Transfer, Vol. 136, No. 4, 041705, 04.2014.

Research output: Contribution to journalArticle

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