On the homoclinic orbit for convection in a fluid layer heated from below

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19 Scopus citations

Abstract

The homoclinic orbit associated with the transition from steady convection to Chaos in the weak turbulent regime is difficult to recover in simple computational procedures because of its unstable nature. A simple procedure which recovers the homoclinic orbit up to the desired accuracy is presented. This procedure combines the insight obtained from previous work on a local non-linear analysis of the problem and the Adomian's decomposition method of solution which provides a global semi-analytical solution.

Original languageEnglish (US)
Pages (from-to)3557-3561
Number of pages5
JournalInternational Journal of Heat and Mass Transfer
Volume42
Issue number19
DOIs
StatePublished - Oct 1999
Externally publishedYes

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ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Energy(all)
  • Mechanical Engineering

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