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 in | IOP conference series. Materials Science and Engineering Vol. 124; no. 1; pp. 12039 - 12042 |
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Main Authors | , |
Format | Journal Article |
Language | English |
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Bristol
IOP Publishing
01.04.2016
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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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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 |
ContentType | Journal Article |
Copyright | Published under licence by IOP Publishing Ltd 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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References | 2 3 4 Jaluria Y (1) 1998 5 6 |
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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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Title | A transient free convection study with temperature-dependent viscosity in a square cavity with a local heat source |
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