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Comptes Rendus Mécanique
Volume 334, n° 3
pages 164-169 (mars 2006)
Doi : 10.1016/j.crme.2006.02.002
Received : 6 January 2006 ;  accepted : 19 January 2006
Laminar forced convection with viscous dissipation in a concentric annular duct
Convection laminaire forcée avec dissipation visqueuse dans un conduit annulaire concentrique
 

Mete Avci, Orhan Aydin
Karadeniz Technical University, Department of Mechanical Engineering, 61080 Trabzon, Turkey 

Corresponding author.
Abstract

Forced convection heat transfer in fully developed flows of viscous dissipating fluids in concentric annular ducts is analyzed analytically. Special attention has been paid to the effect of the viscous dissipation. Two different cases of the thermal boundary conditions are considered: uniform heat flux at the outer wall and adiabatic inner wall (Case A) and uniform heat flux at the inner wall and adiabatic outer wall (Case B). Solutions for the velocity and temperature distributions and the Nusselt number are obtained for different values of the aspect ratio and the Brinkman number. The present analytical results for the case without the viscous dissipation effect are compared with those available in the literature and an excellent agreement is observed. To cite this article: M. Avci, O. Aydin, C. R. Mecanique 334 (2006).

The full text of this article is available in PDF format.
Résumé

On analyse de manière analytique le transfert de chaleur par convection forcée dans des écoulements pleinement établis à lʼintérieur des conduits annulaires concentriques. On considère deux cas de conditions aux limites : un flux de chaleur uniforme à travers la paroi extérieure avec une paroi intérieure adiabatique (Cas A) ou bien un flux de chaleur uniforme à travers la paroi intérieurs avec la paroi extérieure adiabatique (Cas B). Les solutions pour les distributions de la vitesse et de la chaleur, ainsi que le nombre de Nusselt ont été trouvées, correspondant aux valeurs différentes du rapport dʼaspect et du nombre de Brinkman. Les résultats trouvés ici en lʼabsence dʼeffet de dissipation sont comparés avec ceux que lʼon trouve dans la littérature, avec un excellent accord entre les deux. Pour citer cet article : M. Avci, O. Aydin, C. R. Mecanique 334 (2006).

The full text of this article is available in PDF format.

Keywords : Computational fluid mechanics, Annular flow, Aspect ratio, Viscous dissipation, Brinkman number

Mots-clés : Mécanique des fluides numérique, Écoulement annulaire, Rapport dʼaspect, Dissipation visqueuse, Nombre de Brinkman



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