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

Presented by: 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.

Abstract
Résumé

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.

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.

Received: 2006-01-06
Accepted: 2006-01-19
Published online: 2006-03-01

DOI: 10.1016/j.crme.2006.02.002

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

Author's affiliations:

Mete Avcı ¹; Orhan Aydın ¹

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

@article{CRMECA_2006__334_3_164_0,
     author = {Mete Avc{\i} and Orhan Ayd{\i}n},
     title = {Laminar forced convection with viscous dissipation in a concentric annular duct},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {164--169},
     publisher = {Elsevier},
     volume = {334},
     number = {3},
     year = {2006},
     doi = {10.1016/j.crme.2006.02.002},
     language = {en},
}

TY  - JOUR
AU  - Mete Avcı
AU  - Orhan Aydın
TI  - Laminar forced convection with viscous dissipation in a concentric annular duct
JO  - Comptes Rendus. Mécanique
PY  - 2006
SP  - 164
EP  - 169
VL  - 334
IS  - 3
PB  - Elsevier
DO  - 10.1016/j.crme.2006.02.002
LA  - en
ID  - CRMECA_2006__334_3_164_0
ER  -

%0 Journal Article
%A Mete Avcı
%A Orhan Aydın
%T Laminar forced convection with viscous dissipation in a concentric annular duct
%J Comptes Rendus. Mécanique
%D 2006
%P 164-169
%V 334
%N 3
%I Elsevier
%R 10.1016/j.crme.2006.02.002
%G en
%F CRMECA_2006__334_3_164_0

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/

References
Cited by

[1] R.K. Shah; A.L. London Laminar Flow Forced Convection in Ducts, Advances in Heat Transfer (suppl. 1), Academic Press, New York, 1978

[2] S. Kakac; R.K. Shah; W. Aung Handbook of Single-Phase Convective Heat Transfer, John Wiley, New York, 1987

[3] R.M. Manglik; P. Fang Thermal processing of viscous non-Newtonian fluids in annular ducts: effects of power-law rheology, duct eccentricity, and thermal boundary conditions, International Journal of Heat and Mass Transfer, Volume 45 (2002) no. 4, pp. 803-814

[4] O. Aydın Effects of viscous dissipation on the heat transfer in a forced pipe flow. Part 1: both hydrodynamically and thermally fully developed flow, Energy Conversion and Management, Volume 46 (2005) no. 5, pp. 757-769

[5] O. Aydın Effects of viscous dissipation on the heat transfer in a forced pipe flow Part 2: Thermally developing flow, Energy Conversion and Management, Volume 46 (2005) no. 18, pp. 3091-3102

[6] O. Aydın; M. Avcı Viscous dissipation effects on the heat transfer in a Poiseuille flow, Applied Energy, Volume 83 (2006) no. 5, pp. 495-512

Cited by Sources:

Comments - Policy