Keywords
Annulus
Conjugate Heat Transfer
Numerical simulation
How to Cite
Abstract
In the present work, we numerically study the three-dimensional mixed convection heat transfer in the annular space between tow concentric horizontal pipes, the external pipe is heated by an electrical intensity passing through its small thickness while the inner cylinder is insulated. The convection in the fluid domain is conjugated to thermal conduction in the pipes solid thickness. The physical properties of the fluid are thermal dependant. The heat losses from the external outside pipe surface to the surrounding ambient are considered. The model equations of continuity, momenta and energy are numerically solved by a finite volume method with a second order spatiotemporal discretization. The obtained results show the three dimensional aspect of the thermal and dynamical fields with considerable variations of the viscosity and moderate variations of the fluid thermal conductivity. As expected, the mixed convection Nusselt number becomes more superior to that of the forced convection when the Grashof number is increased. At the solid-fluid interface, the results show clearly the azimuthal and axial variations of the local heat flux and the local Nusselt numbers. Following these results, we have tried modelling the average Nusselt number NuA as a function of Richardson numberRi. With the parameters used, the heat transfer is quantified by the correlation: NuA= 9.9130 Ri0.0816.References
T.H. Nguyen, P. Vasseur, L. Robillard, B. Shekhar, “Combined free and forced convection of water between horizontal concentric annuli”, J. Heat Transfer, Vol. 105, 1983, pp.498-504.
S. Kotake, N. Hattori, "Combined forced and free convection heat transfer for fully-developed laminar flow in horizontal annuli", Int. J. Heat Mass Transfer, vol. 28, 1985, pp. 2113-2120.
R. Kumar, "Study of natural convection in horizontal annuli", Int. J. Heat Mass Transfer, vol. 31, 1988, pp. 1137-1148.
S. Y. Chung, G. H. Rhee, et H. J. Sung, "Direct Numerical Simulation of Concentric Annular Pipe Flow"Part I: Flow Field, Int. J. Heat Fluid Flow, vol. 23, 2002, pp. 426-440.
C. NOUAR, "Numerical solution for laminar mixed convection in a horizontal annular duct: temperature-dependent viscosity effect", Int. J. Numer. Meth. Fluids Vol. 29, 1999, pp. 849–864.
M. A. Habib, A. A. A. Negm, "Laminar mixed convection in horizontal concentric annuli with non-uniform circumferential heating" , Int. J. Heat Fluid Flow, Vol. 37, 2001, pp. 427-435.
H.A. Mohammed, Antonio Campo, R. Saidur, "Experimental study of forced and free convective heat transfer in the thermal entry region of horizontal concentric annuli", International Communications in Heat and Mass Transfer, Vol. 37, 2010, pp. 739–747.
H.D. Baehr and K. Stephan, Heat and Mass Transfer, Transl, by N. JanePark, p. 619, pringer-Verlag, Berlin: 1998.
S.W. Churchill, H.S. Chu, "Correlating Equation for Laminar and Turbulent Free Convection from a Horizontal Cylinder", International Journal of Heat and Mass Transfer, Vol 18, 1975, pp. 1049-1053
S.V. Patankar, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New-York: 1980.
- Les auteurs détiennent le droit d'auteurs et accordent à la revue
le droit de première publication, avec l’ouvrage disponible simultanément [SPÉCIFIER LA PÉRIODE DE TEMPS] après publication, sous la licence Licence d’attribution Creative Commons qui permet à d'autres de partager l'ouvrage en en reconnaissant la paternité et la publication initiale dans cette revue. - Les auteurs peuvent conclure des ententes contractuelles additionnelles et séparées pour la diffusion non exclusive de la version imprimée de l'ouvrage par la revue (par ex., le dépôt institutionnel ou la publication dans un livre), accompagné d'une mention reconnaissant sa publication initiale dans cette revue.
- Les auteurs ont le droit et sont encouragés à publier leur ouvrage en ligne (par ex., dans un dépôt institutionnel ou sur le site Web d'une institution) avant et pendant le processus de soumission, car cela peut mener à des échanges fructueux ainsi qu'à un nombre plus important, plus rapidement, de références à l’ouvrage publié (Consulter The Effect of Open Access).