Two-dimensional convection induced by gravity and centrifugal forces in a rotating porous layer far away from the axis of rotation

Peter Vadasz, Saneshan Govender

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

The stability and onset of two-dimensional convection in a rotating fluid saturated porous layer subject to gravity and centrifugal body forces is investigated analytically. The problem corresponding to a layer placed far away from the centre of rotation was identified as a distinct case and therefore justifying special attention. The stability of a basic gravity driven convection is analysed. The marginal stability criterion is established in terms of a critical centrifugal Rayleigh number and a critical wave number for different values of the gravity related Rayleigh number. For any given value of the gravity related Rayleigh number there is a transitional value of the wave number, beyond which the basic gravity driven flow is stable. The results provide the stability map for a wide range of values of the gravity related Rayleigh number, as well as the corresponding flow and temperature fields.

Original languageEnglish (US)
Pages (from-to)73-90
Number of pages18
JournalInternational Journal of Rotating Machinery
Volume4
Issue number2
DOIs
StatePublished - Jan 1 1998

Keywords

  • Buoyancy
  • Free convection
  • Natural convection
  • Porous media
  • Rotating flows
  • Rotating machinery

ASJC Scopus subject areas

  • Mechanical Engineering
  • Industrial and Manufacturing Engineering

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