Coriolis effect on free convection in a long rotating porous box subject to uniform heat generation

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

The Coriolis effect on free convection in a long rotating porous box subject to uniform heat generation is investigated analytically. A three dimensional analytical solution is presented for large values of the porous media Ekman number. The convection results from internal heat generation which produces temperature gradients orthogonal to the centrifugal body force. Two types of thermal boundary conditions are considered for the top and bottom walls of the box. The first type is associated with perfectly conducting boundaries, i.e. the same temperature is imposed on both the top and bottom walls while the second type corresponds to a perfectly conducting top wall and adiabatic bottom wall. The solution to the nonlinear set of partial differential equations is 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. Secondary circulation in the form of one or two vortices is obtained in a plane orthogonal to the leading free convection plane.

Original languageEnglish (US)
Pages (from-to)2011-2018
Number of pages8
JournalInternational Journal of Heat and Mass Transfer
Volume38
Issue number11
DOIs
StatePublished - 1995
Externally publishedYes

Fingerprint

Coriolis effect
heat generation
Heat generation
Natural convection
free convection
Porous materials
boxes
Thermal gradients
Partial differential equations
Aspect ratio
Vortex flow
Boundary conditions
conduction
dependent variables
partial differential equations
aspect ratio
temperature gradients
convection
vortices
boundary conditions

ASJC Scopus subject areas

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

Cite this

@article{ac0e0dcdf1314b09818e53133f2dd251,
title = "Coriolis effect on free convection in a long rotating porous box subject to uniform heat generation",
abstract = "The Coriolis effect on free convection in a long rotating porous box subject to uniform heat generation is investigated analytically. A three dimensional analytical solution is presented for large values of the porous media Ekman number. The convection results from internal heat generation which produces temperature gradients orthogonal to the centrifugal body force. Two types of thermal boundary conditions are considered for the top and bottom walls of the box. The first type is associated with perfectly conducting boundaries, i.e. the same temperature is imposed on both the top and bottom walls while the second type corresponds to a perfectly conducting top wall and adiabatic bottom wall. The solution to the nonlinear set of partial differential equations is 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. Secondary circulation in the form of one or two vortices is obtained in a plane orthogonal to the leading free convection plane.",
author = "Peter Vadasz",
year = "1995",
doi = "10.1016/0017-9310(94)00313-K",
language = "English (US)",
volume = "38",
pages = "2011--2018",
journal = "International Journal of Heat and Mass Transfer",
issn = "0017-9310",
publisher = "Elsevier Limited",
number = "11",

}

TY - JOUR

T1 - Coriolis effect on free convection in a long rotating porous box subject to uniform heat generation

AU - Vadasz, Peter

PY - 1995

Y1 - 1995

N2 - The Coriolis effect on free convection in a long rotating porous box subject to uniform heat generation is investigated analytically. A three dimensional analytical solution is presented for large values of the porous media Ekman number. The convection results from internal heat generation which produces temperature gradients orthogonal to the centrifugal body force. Two types of thermal boundary conditions are considered for the top and bottom walls of the box. The first type is associated with perfectly conducting boundaries, i.e. the same temperature is imposed on both the top and bottom walls while the second type corresponds to a perfectly conducting top wall and adiabatic bottom wall. The solution to the nonlinear set of partial differential equations is 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. Secondary circulation in the form of one or two vortices is obtained in a plane orthogonal to the leading free convection plane.

AB - The Coriolis effect on free convection in a long rotating porous box subject to uniform heat generation is investigated analytically. A three dimensional analytical solution is presented for large values of the porous media Ekman number. The convection results from internal heat generation which produces temperature gradients orthogonal to the centrifugal body force. Two types of thermal boundary conditions are considered for the top and bottom walls of the box. The first type is associated with perfectly conducting boundaries, i.e. the same temperature is imposed on both the top and bottom walls while the second type corresponds to a perfectly conducting top wall and adiabatic bottom wall. The solution to the nonlinear set of partial differential equations is 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. Secondary circulation in the form of one or two vortices is obtained in a plane orthogonal to the leading free convection plane.

UR - http://www.scopus.com/inward/record.url?scp=0029328778&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029328778&partnerID=8YFLogxK

U2 - 10.1016/0017-9310(94)00313-K

DO - 10.1016/0017-9310(94)00313-K

M3 - Article

VL - 38

SP - 2011

EP - 2018

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

IS - 11

ER -