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TECHNICAL PAPERS

Natural Steady Convection in a Space Annulus Between Two Elliptic Confocal Ducts: Influence of the Slope Angle

[+] Author and Article Information
Mahfoud Djezzar

Département de Physique, Faculté des Sciences,  University Mentouri Constantine, Route Aïn El Bey 25000, Constantine 25000, Algeriamdjezzar@caramail.com

Michel Daguenet

Département de Physique, Faculté des Sciences,  University Mentouri Constantine, Route Aïn El Bey 25000, Constantine 25000, Algeria

J. Appl. Mech 73(1), 88-95 (Jun 14, 2005) (8 pages) doi:10.1115/1.2041656 History: Received June 30, 2004; Revised June 14, 2005

The authors express the Boussinesq equations of the laminar thermal and natural convection, in the case of permanent and bidimensional flow, in an annular space between two confocal elliptic cylinders. The latter is oriented at an arbitrary angle α with respect to the gravity force, using the elliptic coordinates system. A new calculation code using the finite volumes with the primitive functions (velocity-pressure formulation) is proposed. The Prandtl number is fixed at 0.7 (case of the air) with varying the Rayleigh number. The effect of the system inclination is examined.

Copyright © 2006 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

A cross section of the system

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Figure 2

Physical domain and computational domain

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Figure 3

A typical control volume and its neighbors in a computational

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Figure 4

Streamlines and isotherms for Ra=104, α=0 deg, and e0=0.4

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Figure 5

Isotherms and streamlines for Ra=103, α=0°, e1=0.86, and e2=0.6

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Figure 6

Isotherms and streamlines for Ra=5.104, α=0°, e1=0.86, and e2=0.6

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Figure 7

Isotherms and streamlines for Ra=105, α=0 deg, e1=0.86, and e2=0.6

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Figure 8

Isotherms and streamlines for Ra=5.105, α=0 deg, e1=0.86, and e2=0.6

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Figure 9

Average Nusselt number on the internal and external walls

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Figure 10

Isotherms and streamlines for Ra=105, α=0 deg, e1=0.688 and e2=0.5

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Figure 11

Isotherms and streamlines for Ra=105, α=45 deg, e1=0.688, and e2=0.5

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Figure 12

Isotherms and streamlines for Ra=105, α=90 deg, e1=0.688, and e2=0.5

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Figure 13

Local Nusselt number on the internal and external walls

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Figure 14

Local Nusselt number on the internal and external walls

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Figure 15

Local Nusselt number on the internal and external walls

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Figure 16

Average Nusselt number on the internal and external walls

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