Three-dimensional free convection in a long rotating porous box: analytical solution

Research output: Chapter in Book/Report/Conference proceedingChapter

35 Citations (Scopus)

Abstract

A three-dimensional analytical solution to the steady-state free convection problem in a long rotating porous box is presented for large values of the porous media Ekman number. The convection results from differential heating of the horizontal walls leading to temperature gradients orthogonal to the centrifugal body force. The solution to the nonlinear set of partial differential equations was obtained through an asymptotic expansion of the dependent variables in terms of two small parameters representing the reciprocal Ekman number in porous media and the aspect ratio of the domain. The results are focused towards the Coriolis effect on the flow. Secondary circulation was obtained in a plane orthogonal to the leading free convection plane. The results show that the Coriolis effect on free convection is controlled by a combined dimensionless group representing the ratio of the centrifugal Rayleigh number to the porous media Ekman number. (Author)

Original languageEnglish (US)
Title of host publicationTransactions - ASME: Journal of Heat Transfer
Pages639-644
Number of pages6
Volume115
Edition3
StatePublished - 1993
Externally publishedYes

Fingerprint

Natural convection
Porous materials
Thermal gradients
Partial differential equations
Aspect ratio
Heating

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Vadasz, P. (1993). Three-dimensional free convection in a long rotating porous box: analytical solution. In Transactions - ASME: Journal of Heat Transfer (3 ed., Vol. 115, pp. 639-644)

Three-dimensional free convection in a long rotating porous box : analytical solution. / Vadasz, Peter.

Transactions - ASME: Journal of Heat Transfer. Vol. 115 3. ed. 1993. p. 639-644.

Research output: Chapter in Book/Report/Conference proceedingChapter

Vadasz, P 1993, Three-dimensional free convection in a long rotating porous box: analytical solution. in Transactions - ASME: Journal of Heat Transfer. 3 edn, vol. 115, pp. 639-644.
Vadasz P. Three-dimensional free convection in a long rotating porous box: analytical solution. In Transactions - ASME: Journal of Heat Transfer. 3 ed. Vol. 115. 1993. p. 639-644
Vadasz, Peter. / Three-dimensional free convection in a long rotating porous box : analytical solution. Transactions - ASME: Journal of Heat Transfer. Vol. 115 3. ed. 1993. pp. 639-644
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