Investigation of regimes of thermogravitational convection of a fluid between coaxial semicylinders with a heat-conducting shell in the presence of a local energy source

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Abstract

A numerical analysis has been made of the thermodynamic regimes of natural convection of a Newtonian fluid satisfying the Boussinesq approximation in the gap between coaxial semicylinders with finitely-thick walls in the presence of the heat-release source under the conditions of convective heat exchange with the environment. A mathematical model has been formulated in the dimensionless variables current function-velocity vorticity vector-temperature in polar coordinates. Streamlines and velocity and temperature fields reflecting the influence of the Prandtl number Pr = 0.7 and 7.0, the nonstationarity factor 0 < τ = 300, the dimensions of the energy source, and of the relative thermal conductivity on the flow regimes and heat transfer have been obtained.

Original languageEnglish
Pages (from-to)1379-1387
Number of pages9
JournalJournal of Engineering Physics and Thermophysics
Volume84
Issue number6
DOIs
Publication statusPublished - 1 Oct 2011

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energy sources
convection
thick walls
Boussinesq approximation
conduction
heat
polar coordinates
Fluids
Newtonian fluids
fluids
Prandtl number
Vorticity
Natural convection
free convection
vorticity
numerical analysis
Numerical analysis
Thermal conductivity
mathematical models
Temperature distribution

Keywords

  • Boussinesq approximation
  • Heat conduction
  • Horizontal semicylinder
  • Polar coordinates
  • Thermogravitational convection

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Engineering(all)

Cite this

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title = "Investigation of regimes of thermogravitational convection of a fluid between coaxial semicylinders with a heat-conducting shell in the presence of a local energy source",
abstract = "A numerical analysis has been made of the thermodynamic regimes of natural convection of a Newtonian fluid satisfying the Boussinesq approximation in the gap between coaxial semicylinders with finitely-thick walls in the presence of the heat-release source under the conditions of convective heat exchange with the environment. A mathematical model has been formulated in the dimensionless variables current function-velocity vorticity vector-temperature in polar coordinates. Streamlines and velocity and temperature fields reflecting the influence of the Prandtl number Pr = 0.7 and 7.0, the nonstationarity factor 0 < τ = 300, the dimensions of the energy source, and of the relative thermal conductivity on the flow regimes and heat transfer have been obtained.",
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T1 - Investigation of regimes of thermogravitational convection of a fluid between coaxial semicylinders with a heat-conducting shell in the presence of a local energy source

AU - Sheremet, M. A.

PY - 2011/10/1

Y1 - 2011/10/1

N2 - A numerical analysis has been made of the thermodynamic regimes of natural convection of a Newtonian fluid satisfying the Boussinesq approximation in the gap between coaxial semicylinders with finitely-thick walls in the presence of the heat-release source under the conditions of convective heat exchange with the environment. A mathematical model has been formulated in the dimensionless variables current function-velocity vorticity vector-temperature in polar coordinates. Streamlines and velocity and temperature fields reflecting the influence of the Prandtl number Pr = 0.7 and 7.0, the nonstationarity factor 0 < τ = 300, the dimensions of the energy source, and of the relative thermal conductivity on the flow regimes and heat transfer have been obtained.

AB - A numerical analysis has been made of the thermodynamic regimes of natural convection of a Newtonian fluid satisfying the Boussinesq approximation in the gap between coaxial semicylinders with finitely-thick walls in the presence of the heat-release source under the conditions of convective heat exchange with the environment. A mathematical model has been formulated in the dimensionless variables current function-velocity vorticity vector-temperature in polar coordinates. Streamlines and velocity and temperature fields reflecting the influence of the Prandtl number Pr = 0.7 and 7.0, the nonstationarity factor 0 < τ = 300, the dimensions of the energy source, and of the relative thermal conductivity on the flow regimes and heat transfer have been obtained.

KW - Boussinesq approximation

KW - Heat conduction

KW - Horizontal semicylinder

KW - Polar coordinates

KW - Thermogravitational convection

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