Conjugate natural convection in an enclosure with a heat source of constant heat transfer rate

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Abstract

A numerical study of two-dimensional transient natural convection in a rectangular enclosure having finite thickness heat-conducting walls with a heat source of constant heat transfer rate located on the inner side of the left wall in conditions of convection-radiation heat exchange with an environment on one of the external boundaries has been performed. Mathematical simulation has been carried out in terms of the dimensionless variables such as stream function - vorticity - temperature. Stream function, vorticity and energy equations have been solved by finite difference numerical method. The relevant governing parameters were: the Grashof number from 106 to 108, the Prandtl number, Pr = 0.7 and the conductivity ratio. Detailed results including streamlines and temperature profiles have been obtained.

Original languageEnglish
Pages (from-to)260-268
Number of pages9
JournalInternational Journal of Heat and Mass Transfer
Volume54
Issue number1-3
DOIs
Publication statusPublished - 15 Jan 2011

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enclosure
heat sources
Vorticity
Enclosures
Natural convection
free convection
heat transfer
vorticity equations
Heat transfer
Grashof number
heat
Prandtl number
Heat radiation
temperature profiles
vorticity
Numerical methods
convection
conduction
conductivity
Temperature

Keywords

  • Conjugate heat transfer
  • Local heat source of constant heat transfer rate
  • Numerical simulation
  • Rectangular enclosure
  • Transient natural convection

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

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title = "Conjugate natural convection in an enclosure with a heat source of constant heat transfer rate",
abstract = "A numerical study of two-dimensional transient natural convection in a rectangular enclosure having finite thickness heat-conducting walls with a heat source of constant heat transfer rate located on the inner side of the left wall in conditions of convection-radiation heat exchange with an environment on one of the external boundaries has been performed. Mathematical simulation has been carried out in terms of the dimensionless variables such as stream function - vorticity - temperature. Stream function, vorticity and energy equations have been solved by finite difference numerical method. The relevant governing parameters were: the Grashof number from 106 to 108, the Prandtl number, Pr = 0.7 and the conductivity ratio. Detailed results including streamlines and temperature profiles have been obtained.",
keywords = "Conjugate heat transfer, Local heat source of constant heat transfer rate, Numerical simulation, Rectangular enclosure, Transient natural convection",
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AU - Kuznetsov, Geniy V.

AU - Sheremet, Mikhail A.

PY - 2011/1/15

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N2 - A numerical study of two-dimensional transient natural convection in a rectangular enclosure having finite thickness heat-conducting walls with a heat source of constant heat transfer rate located on the inner side of the left wall in conditions of convection-radiation heat exchange with an environment on one of the external boundaries has been performed. Mathematical simulation has been carried out in terms of the dimensionless variables such as stream function - vorticity - temperature. Stream function, vorticity and energy equations have been solved by finite difference numerical method. The relevant governing parameters were: the Grashof number from 106 to 108, the Prandtl number, Pr = 0.7 and the conductivity ratio. Detailed results including streamlines and temperature profiles have been obtained.

AB - A numerical study of two-dimensional transient natural convection in a rectangular enclosure having finite thickness heat-conducting walls with a heat source of constant heat transfer rate located on the inner side of the left wall in conditions of convection-radiation heat exchange with an environment on one of the external boundaries has been performed. Mathematical simulation has been carried out in terms of the dimensionless variables such as stream function - vorticity - temperature. Stream function, vorticity and energy equations have been solved by finite difference numerical method. The relevant governing parameters were: the Grashof number from 106 to 108, the Prandtl number, Pr = 0.7 and the conductivity ratio. Detailed results including streamlines and temperature profiles have been obtained.

KW - Conjugate heat transfer

KW - Local heat source of constant heat transfer rate

KW - Numerical simulation

KW - Rectangular enclosure

KW - Transient natural convection

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