Modeling of a Natural Convection Flow Plume-Thermosiphon Interaction

Z. Yahya; Ch. Mbow; A. O. M. Mahmoud; M. L. Sow

doi:10.15866/ireme.v7i1.3696

Modeling of a Natural Convection Flow Plume-Thermosiphon Interaction

Z. Yahya^(1*), Ch. Mbow⁽²⁾, A. O. M. Mahmoud⁽³⁾, M. L. Sow⁽⁴⁾

^(*) Corresponding author

DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract

The authors examine numerically a flow of interaction plume - thermosiphon unsteady, two-dimensionally in a vertical cylinder; this flow of natural convection assumed laminar is generated by the presence of a generating source at the input of the cylinder. To bypass the speed-pressure coupling of the Navier - Stokes equations, a method of projection type Predictor - corrector is used. Numerical integration is done in a field variable mesh with the Patankar control volume method. The discretized equations are then solved by the iterative method of relaxation line by line.
The influence of the Rayleigh number and radius of the heat source on the dynamic and thermal fields, the local Nusselt numbers are analyzed and the phenomena of entry are discussed.

Keywords

Cylinder; Interaction; Numerical Modeling; Plume; Source; Thermosiphon

Full Text:

PDF

References

Kettleborough, Transient laminar free convection between heated vertical plates including entrance effects, International Journal of Heat and Mass Transfer, Vol. 15, n. 5, pp. 883–896, 1972.

R. Wirtz and R. Stutzman, Experiments on free convection between vertical plates with symmetric heating, Journal of Heat Transfer, Vol. 104, n. 3, pp. 501-507, 1982.

S. Ramanathan and R. Kumar, Correlations for natural convection between heated vertical plates, Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), SeriesC) ;(United States), Vol. 113, n. 1, 1991.

A.O.M.Mahmoud, Etude de l’interaction d’un panache thermique à symétrie axiale avec un écoulement de thermosiphon, Ph. D., Faculty of Sciences of Tunis, Tunis II University, 1998.

A.O.M. Mahmoud, J. Bouslimi and R. B. Maad, Experimental study of the effects of a thermal plume entrainment mode on the flow structure: Application to fire, Fire Safety Journal, Vol. 44, pp. 475–486, 2009.

M. Brahimi, Structure turbulente des panaches thermiques – Interaction, Ph.D. thesis - Engineer, Poitiers University, 1987.

B. Guillou. Etude Numérique et expérimentale de la structure turbulente d’un panache pur à symétrie axiale, Ph.D., Poitiers University, 1984.

S. V,Patankar, Numerical heat transfer and fluid flow, (Hemisphere corporation, 1980).

O. Botellea, Résolution des équations de Navier Stokes par des schémas de projection Tchebychev, Thème 4 – Simulation et optimisation des systèmes complexes, SINUS Project, INRIA Research Report No. 3018, 39 pages, Sofia Antipolis Nice, France, octobre 1996.

P. Le Quéré, S. Xin, E. Gadoin, O. Daube and L. Tuckerman, Recent Progress in the determination of hydrodynamic instabilities of natural convection flows, Proceedings of CHT-04, ICHMT: International Symposium on Advances in Computational Heat Transfer, pp. 19-24, Norway CHT-04-K4, April 2004.

W. K. George, R. L. Alpert and F. Taminin, Turbulence measurements in an axisymmetric buoyant plume, Int. J. Heat Mass Transfer, Vol. 20, pp. 1145 – 1154, 1977.

B. R. Ramaprian and M. S. Chandrasekhana, Measurements in vertical plane turbulent plumes, J. Fluids Engng, Vol. 111, pp. 69 - 77, 1989.

Refbacks

There are currently no refbacks.

Username
Password
Remember me