The Rayleigh-Benard instability in an enclosure having finite thickness walls

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Abstract

Natural convection in an enclosure having finite thickness heat-conducting walls at local heating at the bottom of the cavity has been numerically studied. Heat exchange with an environment due to convection and radiation has been considered on one of external sides of the decision region. The governing unsteady three-dimensional flow equations in the Boussinesq approximation for the gas cavity and heat conduction equation for the solid walls, written in dimensionless variables such as vector potential functions, the vorticity vector and the temperature, have been solved using finite difference method. Results have been obtained for a Prandl number of 0.7 and for a Grashof number ranging from 104 to 106.

Original languageEnglish
Article number012010
JournalJournal of Physics: Conference Series
Volume216
DOIs
Publication statusPublished - 1 Jan 2010

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enclosure
Boussinesq approximation
conduction
heat
Grashof number
cavities
three dimensional flow
flow equations
free convection
conductive heat transfer
vorticity
convection
heating
radiation
gases
temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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title = "The Rayleigh-Benard instability in an enclosure having finite thickness walls",
abstract = "Natural convection in an enclosure having finite thickness heat-conducting walls at local heating at the bottom of the cavity has been numerically studied. Heat exchange with an environment due to convection and radiation has been considered on one of external sides of the decision region. The governing unsteady three-dimensional flow equations in the Boussinesq approximation for the gas cavity and heat conduction equation for the solid walls, written in dimensionless variables such as vector potential functions, the vorticity vector and the temperature, have been solved using finite difference method. Results have been obtained for a Prandl number of 0.7 and for a Grashof number ranging from 104 to 106.",
author = "Kuznetsov, {Geniy V.} and Sheremet, {Mikhail A.}",
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AU - Sheremet, Mikhail A.

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N2 - Natural convection in an enclosure having finite thickness heat-conducting walls at local heating at the bottom of the cavity has been numerically studied. Heat exchange with an environment due to convection and radiation has been considered on one of external sides of the decision region. The governing unsteady three-dimensional flow equations in the Boussinesq approximation for the gas cavity and heat conduction equation for the solid walls, written in dimensionless variables such as vector potential functions, the vorticity vector and the temperature, have been solved using finite difference method. Results have been obtained for a Prandl number of 0.7 and for a Grashof number ranging from 104 to 106.

AB - Natural convection in an enclosure having finite thickness heat-conducting walls at local heating at the bottom of the cavity has been numerically studied. Heat exchange with an environment due to convection and radiation has been considered on one of external sides of the decision region. The governing unsteady three-dimensional flow equations in the Boussinesq approximation for the gas cavity and heat conduction equation for the solid walls, written in dimensionless variables such as vector potential functions, the vorticity vector and the temperature, have been solved using finite difference method. Results have been obtained for a Prandl number of 0.7 and for a Grashof number ranging from 104 to 106.

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