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

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...

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Published inIOP conference series. Materials Science and Engineering Vol. 124; no. 1; pp. 12039 - 12042
Main Authors Astanina, M S, Sheremet, M A
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.04.2016
Subjects
Computational fluid dynamics
Dimensionless numbers
Finite difference method
Fluid flow
Fluids
Free convection
Materials science
Mathematical models
Prandtl number
Stream functions (fluids)
Temperature dependence
Unsteady
Viscosity
Vorticity
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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.
AbstractList 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.
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 = 10 super(5). The results clearly demonstrate an evolution of fluid flow and heat transfer in the case of variable viscosity fluid.
Author Sheremet, M A
Astanina, M S
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Cites_doi 10.1016/j.ijthermalsci.2015.07.007
10.1016/j.ijthermalsci.2013.08.012
10.1016/j.ijthermalsci.2015.07.011
10.1007/s11242-015-0558-x
10.1016/j.ijheatmasstransfer.2014.12.066
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2016. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
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SubjectTerms Computational fluid dynamics
Dimensionless numbers
Finite difference method
Fluid flow
Fluids
Free convection
Materials science
Mathematical models
Prandtl number
Stream functions (fluids)
Temperature dependence
Unsteady
Viscosity
Vorticity
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