The development of forced convection heat transfer near a forward stagnation point with Newtonian heating

J. H. Merkin, Roslinda Mohd. Nazar, I. Pop

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

A mathematical model for the unsteady forced convection boundary-layer flow near a forward stagnation point is considered when there is Newtonian heating on the surface whereby the heat transfer is proportional to the local surface temperature. In a previous paper (Salleh et al. J Eng Math 69:101-110, 2011), a critical value γ c, dependent on the Prandtl number σ, of the heat transfer coefficient γ was identified, with solutions for the corresponding steady problem possible only for γ < γ c. The unsteady problem considered here shows that these steady states are attained at large times when γ < γ c. For γ > γ c, the solution still continues to large time, now growing exponentially with time. This rate of growth is determined by an eigenvalue problem which we solve numerically for general values of γ and σ and asymptotically for large γ and both large and small σ.

Original languageEnglish
Pages (from-to)53-60
Number of pages8
JournalJournal of Engineering Mathematics
Volume74
Issue number1
DOIs
Publication statusPublished - Jun 2012

Fingerprint

Stagnation Point
Forced Convection
Forced convection
Heating
Heat Transfer
Heat transfer
Heat Transfer Coefficient
Boundary layer flow
Boundary Layer Flow
Prandtl number
Heat transfer coefficients
Eigenvalue Problem
Critical value
Continue
Directly proportional
Mathematical Model
Mathematical models
Dependent
Temperature

Keywords

  • Forced convection
  • Newtonian heating
  • Stagnation point flow
  • Unsteady boundary-layer flow

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

The development of forced convection heat transfer near a forward stagnation point with Newtonian heating. / Merkin, J. H.; Mohd. Nazar, Roslinda; Pop, I.

In: Journal of Engineering Mathematics, Vol. 74, No. 1, 06.2012, p. 53-60.

Research output: Contribution to journalArticle

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