Numerical approach of the natural convection in the annular space delimited by two horizontal eccentric cylinders: relative eccentricity effect

Auteurs-es

  • C GHERNOUG Université Constantine 1 (ex Mentouri)
  • M DJEZZAR Université Constantine 1 (ex Mentouri)

Mots-clés :

natural convection, annular space, bicylindrical coordinates, vorticity-stream function formulation

Résumé

The authors propose in this work, the numerical study of the phenomenon of the natural laminar permanent convection in an annular space, situated between two horizontal eccentric cylinders and tilted of an angle α compared to the horizontal one. The enclosure considered is of practical interest (Storage, Isolation). The annular space is filled by a Newtonian and incompressible fluid. The number of Prandtl is fixed at 0.7 (case of the air) but the number of Grashof varies. By using the approximation of Boussinesq and the vorticity-stream function formulation, the flow is modeled by the differential equations with the derivative partial: the equations of continuity and the momentum are expressed in a frame of reference known as "bicylindrical", to facilitate the writing of the boundary conditions and to transform the curvilinear field into a rectangular one. They examine the effect of the Grashof number, the parietal thermal conditions and tilt of the system.

Téléchargements

Les données relatives au téléchargement ne sont pas encore disponibles.

Bibliographies de l'auteur-e

C GHERNOUG, Université Constantine 1 (ex Mentouri)

Department of Physics
Energetic Physics Laboratory

M DJEZZAR, Université Constantine 1 (ex Mentouri)

Department of Physics
Energetic Physics Laboratory

Références

.M.R.H. Nobari, M.T. Mehraba, A numerical study of fluid flow and heat transfer in eccentric curved annuli, Int. J. Thermal. Sciences 49 (2010) 380-396

.A. Shklyar, A. Arbel, Accelerated convergence of the numerical simulation of incompressible flow in general curvilinear co-ordinates by discretizations on overset grids, Mathematics and Computers in Simulation 79 (2009) 2476-2489

. B. Dukaa, C. Ferrariob, A. Passerinic,, S. Pivac, Non-linear approximations for natural convection in a horizontal annulus, Int. J. of Non-Linear Mechanics 42 (2007) 1055–1061

.Y. Shi, T.S. Zhao , Z.L. Guo, Finite differencebased lattice Boltzmann simulation of natural convection heat transfer in a horizontal concentric annulus, Computers & Fluids 35 (2006) 1–15

.N.A. Roschina , A.V. Uvarov, A.I. Osipov, Natural convection in an annulus between coaxial horizontal cylinders with internal heat generation, Int J. Heat. Mass. Transfer 48 (2005) 4518–4525

.S.V. Patankar, Numerical Heat Transfer and fluid flow, McGraw-Hill book company, New-York, 1980

.P. Moon, E. Spencer, Field theory Engineers, D. VAN. Nostrand company,LTD, Torronto, 1961

.E.F. Nogotov, Applications of Numerical Heat Transfer, McGraw-Hill book company, New-York, 1978

.T. H. Kuehn, R. J. Goldstein. Correlating equations for natural convection heat transfer between horizontal circular cylinders, Int. J. Heat Mass Transfer, vol. 19. pp. 1127-1134 (1976)

Téléchargements

Publié-e

2009-12-01

Comment citer

GHERNOUG, C., & DJEZZAR, M. (2009). Numerical approach of the natural convection in the annular space delimited by two horizontal eccentric cylinders: relative eccentricity effect. Sciences & Technologie. A, Sciences Exactes, (30), 23–30. Consulté à l’adresse https://revue.umc.edu.dz/a/article/view/27

Numéro

Rubrique

Articles

Articles similaires

1 2 3 4 > >> 

Vous pouvez également Lancer une recherche avancée d’articles similaires à cet article.