Centrifugally generated free convection in a rotating porous box

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

An analytical method of solution to the non-linear problem of centrifugally generated free convection in a rotating porous box is presented. The free convection results from differential heating of the horizontal walls leading to temperature gradients perpendicular to the centrifugal body force. The validity of the solution was found to be restricted to small values of the centrifugal Rayleigh number, although this restriction was not explicitly imposed. The results are compared to an asymptotic solution of the corresponding problem for a long rotating porous box. A direct extraction and substitution of the dependent variables was found to be useful in this case for de-coupling the non-linear partial differential equations, resulting in a set of independent non-linear ordinary differential equations which was solved analytically. The solution results, their significance and their validity domain are discussed in their physical context.

Original languageEnglish (US)
Pages (from-to)2399-2404
Number of pages6
JournalInternational Journal of Heat and Mass Transfer
Volume37
Issue number16
DOIs
StatePublished - 1994
Externally publishedYes

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Natural convection
free convection
boxes
dependent variables
Rayleigh number
Ordinary differential equations
partial differential equations
Thermal gradients
Partial differential equations
temperature gradients
constrictions
Substitution reactions
differential equations
substitutes
Heating
heating

ASJC Scopus subject areas

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

Cite this

Centrifugally generated free convection in a rotating porous box. / Vadasz, Peter.

In: International Journal of Heat and Mass Transfer, Vol. 37, No. 16, 1994, p. 2399-2404.

Research output: Contribution to journalArticle

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