Research Papers

One-Dimensional Model of Natural Convection in Differentially Heated Partitioned Enclosures With Conducting External Walls and Vertical Partitions

[+] Author and Article Information
V. Sambou

P.H.A.S.E., Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 9, France; L.E.A., Ecole Supérieure Polytechnique, BP 5085 Dakar Fann, Sénégalvsambou@ucad.sn

B. Lartigue, F. Monchoux, J. L. Breton

P.H.A.S.E., Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 9, France

J. Thermal Sci. Eng. Appl 1(2), 021002 (Aug 20, 2009) (6 pages) doi:10.1115/1.3202795 History: Received January 09, 2009; Revised July 07, 2009; Published August 20, 2009

Natural convection in partitioned enclosures is extensively investigated due to its importance in many applications. Real enclosures have diffusive walls and partitions. A method has been developed to evaluate the global natural convection Nusselt number for a differentially heated (heated from sides) partitioned enclosure with walls and vertical partitions of finite thickness. A formula has been elaborated, giving the global Nusselt number as a function of the global Rayleigh number, global aspect ratio of the whole enclosure, and two other dimensionless parameters: the conductive thermal resistance ratio and the porosity. After validation of the method by comparison of our results with those from both the literature studies and the numerical simulation, a parametric study is carried out to show the influence of the dimensionless parameters. The method is a helpful tool for thermal engineers and scientists to design such a common system.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

Schematic enclosure studied

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Figure 2

Comparison of Nu¯ for air-filled cavities

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Figure 3

Comparison of Nu¯ for water-filled cavities

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Figure 4

Nug versus Rag for various λ, A=2, N=2, and χ=0.8

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Figure 5

Nug versus Rag for various χ, A=2, N=2, and λ=0.025

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Figure 6

Nug versus λ for A=2, N=2, χ=0.8, and Rag=107

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Figure 7

Nug versus λ for various Rag, Ag=2, N=2, and χ=0.8

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Figure 8

Nug versus (1+N)−1 for various Rag, Ag=2, λ=0.025, and χ=0.8

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Figure 9

η versus N for various λ, A=2, χ=0.9, and Rag=107



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