Laminar forced convection with viscous dissipation in a concentric annular duct

Mete Avcı; Orhan Aydın

doi:10.1016/j.crme.2006.02.002

Laminar forced convection with viscous dissipation in a concentric annular duct
[Convection laminaire forcée avec dissipation visqueuse dans un conduit annulaire concentrique]

Présenté par : Pierre Perrier

Mete Avcı ¹ ; Orhan Aydın ¹

¹ Karadeniz Technical University, Department of Mechanical Engineering, 61080 Trabzon, Turkey

Comptes Rendus. Mécanique, Volume 334 (2006) no. 3, pp. 164-169.

Résumé
Abstract

On analyse de manière analytique le transfert de chaleur par convection forcée dans des écoulements pleinement établis à l'intérieur 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 d'aspect et du nombre de Brinkman. Les résultats trouvés ici en l'absence d'effet de dissipation sont comparés avec ceux que l'on trouve dans la littérature, avec un excellent accord entre les deux.

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.

Reçu le : 2006-01-06
Accepté le : 2006-01-19
Publié le : 2006-03-01

DOI : 10.1016/j.crme.2006.02.002

Keywords: Computational fluid mechanics, Annular flow, Aspect ratio, Viscous dissipation, Brinkman number
Mots-clés : Mécanique des fluides numérique, Écoulement annulaire, Rapport d'aspect, Dissipation visqueuse, Nombre de Brinkman

Affiliations des auteurs :

Mete Avcı ¹ ; Orhan Aydın ¹

¹ Karadeniz Technical University, Department of Mechanical Engineering, 61080 Trabzon, Turkey

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Mete Avcı; Orhan Aydın. Laminar forced convection with viscous dissipation in a concentric annular duct. Comptes Rendus. Mécanique, Volume 334 (2006) no. 3, pp. 164-169. doi : 10.1016/j.crme.2006.02.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.02.002/

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Cité par 21 documents. Sources : Crossref, zbMATH

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