A simple analytic approximation to the Rayleigh-Bénard stability threshold

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)
57 Downloads (Pure)

Abstract

The Rayleigh-Bénard linear stability problem is solved by means of a Fourier series expansion. It is found that truncating the series to just the first term gives an excellent explicit approximation to the marginal stability relation between the Rayleigh number and the wave number of the perturbation. Where the error can be compared with published exact results, it is found not to exceed a few percent over the entire wave number range. Several cases with no-slip boundaries of equal or unequal thermal conductivities are considered explicitly
Original languageEnglish
Pages (from-to)124101-1-124101-8
Number of pages8
JournalPhysics of fluids
Volume23
Issue number12
DOIs
Publication statusPublished - 2011

Keywords

  • METIS-281517
  • IR-78762

Fingerprint Dive into the research topics of 'A simple analytic approximation to the Rayleigh-Bénard stability threshold'. Together they form a unique fingerprint.

  • Cite this