Numerical simulation of turbulent natural convection in a rectangular enclosure having finite thickness walls

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Abstract

Turbulent natural convection in a rectangular enclosure having finite thickness heat-conducting walls at local heating at the bottom of the cavity provided that convective-radiative heat exchange with an environment on one of the external borders has been numerically studied. Mathematical simulation has been carried out in terms of the dimensionless Reynolds averaged Navier-Stokes (RANS) equations in stream function-vorticity formulations. The formulation comprises the standard two equation k-ε turbulence model with wall functions, along with the Boussinesq approximation, for the flow and heat transfer. The special attention was paid to the effects of the Grashof number 108 ≤ Gr < 1010, the transient factor 0 < τ < 1000 and the thermal conductivity ratio k2,1 = 5.7 × 10-4, 6.8 × 10-5 both on local and on integral problem parameters. Detailed results including stream lines, temperature profiles and correlation for the average Nusselt number in terms of Grashof number have been obtained.

Original languageEnglish
Pages (from-to)163-177
Number of pages15
JournalInternational Journal of Heat and Mass Transfer
Volume53
Issue number1-3
DOIs
Publication statusPublished - 15 Jan 2010

Fingerprint

Grashof number
enclosure
Enclosures
Natural convection
free convection
Wall function
Boussinesq approximation
formulations
heat
turbulence models
Computer simulation
Nusselt number
Vorticity
Turbulence models
borders
temperature profiles
Navier-Stokes equation
vorticity
Navier Stokes equations
Thermal conductivity

Keywords

  • Conjugate heat transfer
  • Local heat source
  • Natural convection
  • Numerical simulation
  • Rectangular enclosure
  • Turbulence

ASJC Scopus subject areas

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

Cite this

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title = "Numerical simulation of turbulent natural convection in a rectangular enclosure having finite thickness walls",
abstract = "Turbulent natural convection in a rectangular enclosure having finite thickness heat-conducting walls at local heating at the bottom of the cavity provided that convective-radiative heat exchange with an environment on one of the external borders has been numerically studied. Mathematical simulation has been carried out in terms of the dimensionless Reynolds averaged Navier-Stokes (RANS) equations in stream function-vorticity formulations. The formulation comprises the standard two equation k-ε turbulence model with wall functions, along with the Boussinesq approximation, for the flow and heat transfer. The special attention was paid to the effects of the Grashof number 108 ≤ Gr < 1010, the transient factor 0 < τ < 1000 and the thermal conductivity ratio k2,1 = 5.7 × 10-4, 6.8 × 10-5 both on local and on integral problem parameters. Detailed results including stream lines, temperature profiles and correlation for the average Nusselt number in terms of Grashof number have been obtained.",
keywords = "Conjugate heat transfer, Local heat source, Natural convection, Numerical simulation, Rectangular enclosure, Turbulence",
author = "Kuznetsov, {Geniy V.} and Sheremet, {Mikhail A.}",
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AU - Kuznetsov, Geniy V.

AU - Sheremet, Mikhail A.

PY - 2010/1/15

Y1 - 2010/1/15

N2 - Turbulent natural convection in a rectangular enclosure having finite thickness heat-conducting walls at local heating at the bottom of the cavity provided that convective-radiative heat exchange with an environment on one of the external borders has been numerically studied. Mathematical simulation has been carried out in terms of the dimensionless Reynolds averaged Navier-Stokes (RANS) equations in stream function-vorticity formulations. The formulation comprises the standard two equation k-ε turbulence model with wall functions, along with the Boussinesq approximation, for the flow and heat transfer. The special attention was paid to the effects of the Grashof number 108 ≤ Gr < 1010, the transient factor 0 < τ < 1000 and the thermal conductivity ratio k2,1 = 5.7 × 10-4, 6.8 × 10-5 both on local and on integral problem parameters. Detailed results including stream lines, temperature profiles and correlation for the average Nusselt number in terms of Grashof number have been obtained.

AB - Turbulent natural convection in a rectangular enclosure having finite thickness heat-conducting walls at local heating at the bottom of the cavity provided that convective-radiative heat exchange with an environment on one of the external borders has been numerically studied. Mathematical simulation has been carried out in terms of the dimensionless Reynolds averaged Navier-Stokes (RANS) equations in stream function-vorticity formulations. The formulation comprises the standard two equation k-ε turbulence model with wall functions, along with the Boussinesq approximation, for the flow and heat transfer. The special attention was paid to the effects of the Grashof number 108 ≤ Gr < 1010, the transient factor 0 < τ < 1000 and the thermal conductivity ratio k2,1 = 5.7 × 10-4, 6.8 × 10-5 both on local and on integral problem parameters. Detailed results including stream lines, temperature profiles and correlation for the average Nusselt number in terms of Grashof number have been obtained.

KW - Conjugate heat transfer

KW - Local heat source

KW - Natural convection

KW - Numerical simulation

KW - Rectangular enclosure

KW - Turbulence

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JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

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