Mixed convection boundary-layer flow past a vertical flat plate with a convective boundary condition

M. M. Rahman, J. H. Merkin, I. Pop

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The mixed convection boundary-layer flow on a vertical surface with an applied convective boundary condition is considered. Specific forms for the outer flow and surface heat transfer parameter are taken to reduce the problem a similarity system, which is seen to involve three parameters: m, the exponent of the outer flow; λ, the mixed convection parameter and B, the Biot number, as well as the Prandtl number. $${m = \frac{1}{5}}$$m=15 is found to be a transitional case with different behaviour depending on whether $${m > \frac{1}{5}}$$m>15 or $${m <\frac{1}{5}}$$m \frac{1}{5}}$$m>15, there is a critical value λc with solutions only for λ ≥ λc, a range of values of λ where there are dual solutions and the upper solution branch continuing into aiding flow. For $${0 <m <\frac{1}{5}}$$0 \frac{1}{5}}$$m>15 to solutions terminating at a finite value of λ > 0 and continuing to large values of |λ|. For m = 0 (uniform outer flow) only this latter behaviour is seen to arise. When m  \frac{1}{5}}$$m>15.

Original languageEnglish
Pages (from-to)2441-2460
Number of pages20
JournalActa Mechanica
Volume226
Issue number8
DOIs
Publication statusPublished - Mar 20 2015

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Mixed convection
Boundary layer flow
Boundary conditions
Prandtl number
Heat transfer

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computational Mechanics

Cite this

Mixed convection boundary-layer flow past a vertical flat plate with a convective boundary condition. / Rahman, M. M.; Merkin, J. H.; Pop, I.

In: Acta Mechanica, Vol. 226, No. 8, 20.03.2015, p. 2441-2460.

Research output: Contribution to journalArticle

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