The Rayleigh-Benard convection in an enclosure with walls of finite thickness

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Abstract

Mathematical simulation of transient natural convection in an enclosure having walls of a finite thickness at the presence of a heat source located at the bottom of the cavity has been carried out. Special attention was given to the analysis of the Grashov number (Gr) effect, describing the intensity of a heat source; of the transient factor, defining the formation and development of thermodynamic structures; and also of the heat conductivity ratio. Typical distributions of streamlines and temperature fields have been received. Scales of key parameters (the Grashov number, dimensionless time, the heat conductivity ratio), affecting both local characteristics (streamlines, isotherms) and integral characteristics (the average Nusselt number) of the analyzed process, have been determined.

Original languageEnglish
Pages (from-to)349-358
Number of pages10
JournalMathematical Models and Computer Simulations
Volume2
Issue number3
DOIs
Publication statusPublished - 1 Jun 2010

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Rayleigh-Bénard Convection
Enclosure
Heat Source
Streamlines
Enclosures
Conductivity
Thermal conductivity
Heat
Nusselt number
Natural Convection
Temperature Field
Natural convection
Dimensionless
Isotherms
Thermodynamics
Cavity
Temperature distribution
Simulation
Convection
Hot Temperature

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Mathematics

Cite this

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AB - Mathematical simulation of transient natural convection in an enclosure having walls of a finite thickness at the presence of a heat source located at the bottom of the cavity has been carried out. Special attention was given to the analysis of the Grashov number (Gr) effect, describing the intensity of a heat source; of the transient factor, defining the formation and development of thermodynamic structures; and also of the heat conductivity ratio. Typical distributions of streamlines and temperature fields have been received. Scales of key parameters (the Grashov number, dimensionless time, the heat conductivity ratio), affecting both local characteristics (streamlines, isotherms) and integral characteristics (the average Nusselt number) of the analyzed process, have been determined.

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