Keywords
closed enclosure
elliptic cylinders
vorticity-stream function formulation
How to Cite
Abstract
The authors present the numerical study of the phenomenon of the natural, laminar and permanent convection in an elliptic annular cavity delimited by two diametrical plans and is tilted at an angle with respect to the horizontal plane. The enclosure considered is of practical interest (Storage, Isolation). It is filled by a Newtonian and incompressible fluid, in laminar and permanent mode. The Prandtl number is fixed at 0.7 (air) but the Grashof number varies. They determine the distributions of the temperature and the stream-function in the fluid and indicate the influence on the flow of the Grashof number and the system tilt.
References
T.H.Kuehn, R.J. Goldstein, An experimental and theoretical study of natural convection in the annulus between horizontal cylinders, J. Fluid Mech., 74, 695-719, 1976.
Y.D.Zhu, C. Shu, J. Qiu, J. Tani,Numerical Simulation of natural convection between two elliptical cylinders using DQ method, Int. J. Heat. Mass. Trans., 47, 797-808, 2004.
M.Djezzar, M. Daguenet, Numerical study of bidimensional steady natural convection in a space annulus between two elliptic confocal ducts. 1ST International Conference on Thermal Engineering Theory and Applications. Beïrut-Lebanon, du 31 Mai au 04 Juin, 2004.
M.Djezzar,M. Daguenet, Contribution to the study of the convection in various annular spaces, subjected to various conditions of heating. Thesis of Doctorate of state, University Mentouri Constantine, 2005.
M.Djezzar,A. Chaker,M. Daguenet, Numerical study of bidimensional steady natural convection in a space annulus between two elliptic confocal ducts: Influence of internal
Appendix U. eccentricity. Revue des Energies Renouvelables. 8, 63-72, 2005.
M.Djezzar,M. Daguenet, Natural steady convection in a space annulus between two elliptic confocal ducts: Influence of the slope angle. Journal of Applied Mechanics Transaction of the ASME, 72, 88-95, 2006.
S.V.patankar , Numerical Heat Transfer and fluid flow, (McGraw-Hill book company), ppc113-137. New York,1980.
P.Moon, E. Spencer, Field theory Engineers, (D. VAN. Nostrand company), p 356. LTD, Torronto,, Canada , 1961.
E.F.Nogotov, Applications of Numerical Heat Transfer, (McGraw-Hill book company), ppc122-125. New York, 1978.
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