Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet

Norfifah Bachok, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

91 Citations (Scopus)

Abstract

An analysis is carried out to study the steady two-dimensional stagnation-point flow and heat transfer from a warm, laminar liquid flow to a melting stretching/shrinking sheet. The governing partial differential equations are converted into ordinary differential equations by similarity transformation, before being solved numerically using the Runge-Kutta-Fehlberg method. Results for the skin friction coefficient, local Nusselt number, velocity profiles as well as temperature profiles are presented for different values of the governing parameters. Effects of the melting parameter, stretching/shrinking parameter and Prandtl number on the 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.

Original languageEnglish
Pages (from-to)4075-4079
Number of pages5
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume374
Issue number40
DOIs
Publication statusPublished - 6 Sep 2010

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stagnation point
boundary layers
heat transfer
melting
Runge-Kutta method
skin friction
liquid flow
Prandtl number
Nusselt number
partial differential equations
temperature profiles
coefficient of friction
differential equations
velocity distribution

Keywords

  • Dual solutions
  • Heat transfer
  • Melting
  • Stagnation-point flow
  • Stretching/shrinking sheet

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Melting heat transfer in boundary layer stagnation-point flow towards a stretching/shrinking sheet. / Bachok, Norfifah; Mohd Ishak, Anuar; Pop, Ioan.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 374, No. 40, 06.09.2010, p. 4075-4079.

Research output: Contribution to journalArticle

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