On the stability of the flow and heat transfer over a moving thin needle with prescribed surface heat flux

Iskandar Waini, Anuar Mohd Ishak, Ioan Pop

Research output: Contribution to journalArticle

Abstract

The steady flow and heat transfer over a moving thin needle with prescribed surface heat flux is studied. The similarity equations are obtained by using similarity transformation technique. The problem is solved numerically using the boundary value problem solver (bvp4c) in Matlab software. The plots of the skin friction coefficient and the local Nusselt number as well as the velocity and temperature profiles are presented and their behaviors are discussed for different values of the needle size and the velocity ratio parameter. Results show that the decreasing of the needle size enhance the skin friction coefficient and the local Nusselt number on the needle surface. It is found that dual solutions exist (upper and lower branches) for a certain range of the velocity ratio parameter. A stability analysis of the solutions are performed and it shows that the upper branch solution is stable, while the lower branch solution is unstable.

Original languageEnglish
Pages (from-to)651-658
Number of pages8
JournalChinese Journal of Physics
Volume60
DOIs
Publication statusPublished - 1 Aug 2019

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needles
heat flux
heat transfer
skin friction
Nusselt number
coefficient of friction
steady flow
boundary value problems
temperature profiles
velocity distribution
plots
computer programs

Keywords

  • Dual solutions
  • Stability analysis
  • Surface heat flux
  • Thin needle

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

On the stability of the flow and heat transfer over a moving thin needle with prescribed surface heat flux. / Waini, Iskandar; Mohd Ishak, Anuar; Pop, Ioan.

In: Chinese Journal of Physics, Vol. 60, 01.08.2019, p. 651-658.

Research output: Contribution to journalArticle

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