Boundary layer stagnation-point flow and heat transfer over an exponentially stretching/shrinking sheet in a nanofluid

Norfifah Bachok, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

81 Citations (Scopus)

Abstract

An analysis is carried out to investigate the steady two-dimensional stagnation-point flow of a water based nanofluid over an exponentially stretching/shrinking sheet in its own plane. Using a similarity transformation, the governing mathematical equations are transformed into coupled, nonlinear ordinary differential equations which are then solved numerically for three types of nanoparticles, namely copper (Cu), alumina (Al 2O 3), and titania (TiO 2) in the water based fluid with Prandtl number Pr = 6.2. The skin friction coefficient, the local Nusselt number and the velocity and temperature profiles are presented graphically and discussed. Effects of the solid volume fraction and the stretching/shrinking parameter λ on the fluid flow and heat transfer characteristics are thoroughly examined. Different from a stretching sheet, it is found that the solutions for a shrinking sheet are non-unique. The range of the parameter λ where the similarity solution exists for the steady stagnation-point flow over an exponentially stretching/shrinking sheet is larger compared with the linear stretching/shrinking case.

Original languageEnglish
Pages (from-to)8122-8128
Number of pages7
JournalInternational Journal of Heat and Mass Transfer
Volume55
Issue number25-26
DOIs
Publication statusPublished - Dec 2012

Fingerprint

stagnation point
Stretching
boundary layers
Boundary layers
heat transfer
Heat transfer
skin friction
Water
Aluminum Oxide
Skin friction
Prandtl number
Nusselt number
Ordinary differential equations
temperature profiles
coefficient of friction
water
fluid flow
Flow of fluids
Copper
Volume fraction

Keywords

  • Dual solutions
  • Exponentially shrinking sheet
  • Heat transfer
  • Nanofluids
  • Stagnation-point flow

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes

Cite this

Boundary layer stagnation-point flow and heat transfer over an exponentially stretching/shrinking sheet in a nanofluid. / Bachok, Norfifah; Mohd Ishak, Anuar; Pop, Ioan.

In: International Journal of Heat and Mass Transfer, Vol. 55, No. 25-26, 12.2012, p. 8122-8128.

Research output: Contribution to journalArticle

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