First integrals of fin equations for straight fins

E. Momoniat, C. Harley, T. Hayat

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

First integrals admitted by second-order nonlinear ordinary differential equations modeling the temperature distribution in a straight fin are obtained. After imposing the boundary conditions these first integrals give a relationship between temperature at the fin tip and the temperature gradient at the base of the fin in terms of the fin parameters. These first integrals are plotted and analyzed. The results obtained show how the temperature at the fin tip can be controlled by the temperature gradient at the base for fixed fin parameters.

Original languageEnglish
Pages (from-to)3659-3666
Number of pages8
JournalModern Physics Letters B
Volume23
Issue number30
DOIs
Publication statusPublished - 10 Dec 2009
Externally publishedYes

Keywords

  • Fin parameter
  • First integral
  • Straight fin

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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