Numerical Modeling of the Plume - Thermosiphon Interaction in a Vertical Cylinder: Effect of Vertical Displacement of the Heat Source

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

doi:10.15866/ireme.v7i1.3722

Numerical Modeling of the Plume - Thermosiphon Interaction in a Vertical Cylinder: Effect of Vertical Displacement of the Heat Source

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

In this work, we present a numerical study of natural convection laminar flow resulting from the interaction of a thermal plume with a vertical thermosiphon. The thermal plume is generated by the presence of a heat source. We study, among other, the effects of different positions of the generating source on the overall structure of the flow, the authors study numerically the influence of the vertical location of the generating source to the input of the cylinder, with a volume of control of Patankar method and from the full Navier Stokes equations. A mesh of variable steps was chosen. The pressure is calculated using a projection-type Predictor-corrector method.
The numerical solution of the discretized equations was made by the iterative method of relaxation line-by-line, and calculations are stopped when the convergence conditions are met.

Keywords

Interaction; Heat Source; Position; Thermal Plume; Thermosiphon

Full Text:

PDF

References

Benachour, E., Draoui, B., Rahmani, L., Mebarki, B., Belloufa, L., Asnoune, K., Imine, B., Effect of positioning the heating element on natural convection in a square cavity (habitat Type), (2010) International Review of Mechanical Engineering (IREME), 4 (5), pp. 476-481.

A.O.M. Mahmoud, R. B. Maad, A. Belghith, Interaction d’un écoulement de thermosiphon avec un panache thermique à symétrie axiale : étude expérimentale, Rev. Gén. Therm, Vol. 37, n. 5, pp. 385 – 394, 1998.

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.

J. Zinoubi, Etude de l’interaction d’un écoulement de thermosiphon avec un panache thermique à symétrie axiale : influences des paramètres de forme, Ph.D., Faculty of Sciences of Tunis , Tunis II University, 2003.

J.Zinoubi R. B. Maad, A. Belghith, Influence of the vertical source-cylinder spacing on the interaction of thermal plume with a thermosiphon flow: an experimental study, Experimental Thermal and Fluid Science, Vol. 28, pp. 329-336, 2004.

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.

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

J. M. Agator., and Doan-Kim-Son, Analyse spectral du champ thermique d’un panache turbulent à symétrie axiale, C. R. Acad. Sc. Paris, 1983.

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.

S.V. Patankar, A calculation procedure for two-dimensional elliptic situations. Numerical Heat Transfer, Vol. 4, pp. 409-425, 1981.

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.

Refbacks

There are currently no refbacks.

Username
Password
Remember me