A transient free convection study with temperature-dependent viscosity in a square cavity with a local heat source

M. S. Astanina, M. A. Sheremet

Research output: Contribution to journalConference article

Abstract

Unsteady natural convection inside of a differentially-heated square enclosure filled with a fluid of temperature-dependent viscosity has been numerically studied. A mathematical model formulated in the dimensionless stream function and vorticity has been solved by a finite difference method of the second order accuracy. The effect of dimensionless time and Prandtl number on streamlines and isotherms has been investigated for Ra = 105. The results clearly demonstrate an evolution of fluid flow and heat transfer in the case of variable viscosity fluid.

Original languageEnglish
Article number012039
JournalIOP Conference Series: Materials Science and Engineering
Volume124
Issue number1
DOIs
Publication statusPublished - 2 Jun 2016
EventInternational Conference on Mechanical Engineering, Automation and Control Systems 2015, MEACS 2015 - Tomsk, Russian Federation
Duration: 1 Dec 20154 Dec 2015

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Natural convection
Viscosity
Fluids
Prandtl number
Vorticity
Enclosures
Finite difference method
Isotherms
Flow of fluids
Mathematical models
Heat transfer
Temperature
Hot Temperature

ASJC Scopus subject areas

  • Materials Science(all)
  • Engineering(all)

Cite this

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abstract = "Unsteady natural convection inside of a differentially-heated square enclosure filled with a fluid of temperature-dependent viscosity has been numerically studied. A mathematical model formulated in the dimensionless stream function and vorticity has been solved by a finite difference method of the second order accuracy. The effect of dimensionless time and Prandtl number on streamlines and isotherms has been investigated for Ra = 105. The results clearly demonstrate an evolution of fluid flow and heat transfer in the case of variable viscosity fluid.",
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AB - Unsteady natural convection inside of a differentially-heated square enclosure filled with a fluid of temperature-dependent viscosity has been numerically studied. A mathematical model formulated in the dimensionless stream function and vorticity has been solved by a finite difference method of the second order accuracy. The effect of dimensionless time and Prandtl number on streamlines and isotherms has been investigated for Ra = 105. The results clearly demonstrate an evolution of fluid flow and heat transfer in the case of variable viscosity fluid.

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