Articles & Issues
- Language
- english
- Conflict of Interest
- In relation to this article, we declare that there is no conflict of interest.
- Publication history
-
Received April 21, 2014
Accepted July 23, 2014
-
This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits
unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright © KIChE. All rights reserved.
All issues
Analysis of Forced Convection Heat Transfer for Axial Annular Flow of Giesekus Viscoelastic Fluid
Chemical Engineering Department, Amirkabir University of Technology, No. 472, Hafez Ave., Tehran 15875-4413, Iran, Korea 1Petroleum Engineering Department, Amirkabir University of Technology, No. 472, Hafez Ave., Tehran 15875-4413, Iran, Korea
rashidi@aut.ac.ir
Korean Chemical Engineering Research, February 2015, 53(1), 91-102(12), 10.9713/kcer.2015.53.1.91 Epub 3 February 2015
Download PDF
Abstract
Analytical solutions for the forced convection heat transfer of viscoelastic fluids obeying the Giesekus model are obtained in a concentric annulus under laminar flow for both thermal and hydrodynamic fully developed conditions. Boundary conditions are assumed to be (a) constant fluxes at the walls and (b) constant temperature at the walls. Temperature profiles and Nusselt numbers are derived from dimensionless energy equation. Subsequently, effects of elasticity, mobility parameter and viscous dissipation are discussed. Results show that by increasing elasticity, Nusselt number increases. However, this trend is reversed for constant wall temperature when viscous dissipation is weak. By increasing viscous dissipation, the Nusselt number decreases for the constant flux and increases for the constant wall temperature. For the wall cooling case, when the viscous dissipation exceeds a critical value, the generated heat overcomes the heat which is removed at the walls, and fluid heats up longitudinally.
References
Shah RK, London AL, Laminar Flow Forced Convection in Ducts, Academic Press, New York (1978)
Coelho PM, Pinho FT, Int. J. Heat Mass Transf., 49(19-20), 3349 (2006)
Manglik RM, Fang P, Int. J. Heat Fluid Flow, 16, 298 (1995)
Fang P, Manglik RM, Jog MA, J. Non-Newton. Fluid Mech., 84(1), 1 (1999)
Raju KK, Devanathan R, Rheol. Acta., 10, 484 (1971)
Hong SN, Matthews JC, Int. J. Heat Mass Transfer, 12, 1699 (1969)
Batra RL, Sudarsan VR, Comput. Meth. Appl. Mech. Eng., 95, 1 (1992)
Tanaka M, Mitsuishi N, Heat Transfer Jpn. Res., 4, 26 (1975)
Jambal O, Shigechi T, Davaa G, Momoki S, Int. Comm. Heat Mass Transfer, 32, 1174 (2005)
Pinho FT, Oliveira PJ, Int. J. Heat Mass Transf., 43(13), 2273 (2000)
Coelho PM, Pinho FT, Oliveira PJ, Int. J. Heat Mass Transf., 45(7), 1413 (2002)
Hashemabadi SH, Etemad S Gh, Narenji MRG, Thibault J, J., Int. Commun. Heat Mass Transfer, 30, 197 (2003)
Hashemabadi SH, Etemad SG, Thibault J, Int. J. Heat Mass Transf., 47(17-18), 3985 (2004)
Coelho PM, Pinho FT, Oliveira PJ, Int. J. Heat Mass Transf., 46(20), 3865 (2003)
Oliveira PJ, Coelho PM, Pinho FT, J. Non-Newton. Fluid Mech., 121(1), 69 (2004)
Pinho FT, Coelho PM, J. Non-Newton. Fluid Mech., 138(1), 7 (2006)
Khatibi AM, Mirzazadeh M, Rashidi F, Heat Mass Transfer, 46, 405 (2010)
Giesekus H, J. Non-Newton. Fluid Mech., 11, 69 (1982)
Giesekus H, J. Non-Newton. Fluid Mech., 12, 367 (1983)
Kakac S, Yener Y, Convective Heat Transfer, CRC Press (1995)
Bird RB, Amstrong RC, Hassager O, Dynamics of Polymeric Liquids: Fluid Mechanics, Vol. 1, Wiley, New York (1977)
Mohseni MM, Rashidi F, J. Non-Newton. Fluid Mech., 165(21-22), 1550 (2010)
Bejan A, Convection Heat Transfer, Wiley, New York (1995)
Bhatara G, Shaqfeh ESG, Khomami B, J. Rheol., 49(5), 929 (2005)
Coelho PM, Pinho FT, Int. J. Heat Mass Transf., 49(19-20), 3349 (2006)
Manglik RM, Fang P, Int. J. Heat Fluid Flow, 16, 298 (1995)
Fang P, Manglik RM, Jog MA, J. Non-Newton. Fluid Mech., 84(1), 1 (1999)
Raju KK, Devanathan R, Rheol. Acta., 10, 484 (1971)
Hong SN, Matthews JC, Int. J. Heat Mass Transfer, 12, 1699 (1969)
Batra RL, Sudarsan VR, Comput. Meth. Appl. Mech. Eng., 95, 1 (1992)
Tanaka M, Mitsuishi N, Heat Transfer Jpn. Res., 4, 26 (1975)
Jambal O, Shigechi T, Davaa G, Momoki S, Int. Comm. Heat Mass Transfer, 32, 1174 (2005)
Pinho FT, Oliveira PJ, Int. J. Heat Mass Transf., 43(13), 2273 (2000)
Coelho PM, Pinho FT, Oliveira PJ, Int. J. Heat Mass Transf., 45(7), 1413 (2002)
Hashemabadi SH, Etemad S Gh, Narenji MRG, Thibault J, J., Int. Commun. Heat Mass Transfer, 30, 197 (2003)
Hashemabadi SH, Etemad SG, Thibault J, Int. J. Heat Mass Transf., 47(17-18), 3985 (2004)
Coelho PM, Pinho FT, Oliveira PJ, Int. J. Heat Mass Transf., 46(20), 3865 (2003)
Oliveira PJ, Coelho PM, Pinho FT, J. Non-Newton. Fluid Mech., 121(1), 69 (2004)
Pinho FT, Coelho PM, J. Non-Newton. Fluid Mech., 138(1), 7 (2006)
Khatibi AM, Mirzazadeh M, Rashidi F, Heat Mass Transfer, 46, 405 (2010)
Giesekus H, J. Non-Newton. Fluid Mech., 11, 69 (1982)
Giesekus H, J. Non-Newton. Fluid Mech., 12, 367 (1983)
Kakac S, Yener Y, Convective Heat Transfer, CRC Press (1995)
Bird RB, Amstrong RC, Hassager O, Dynamics of Polymeric Liquids: Fluid Mechanics, Vol. 1, Wiley, New York (1977)
Mohseni MM, Rashidi F, J. Non-Newton. Fluid Mech., 165(21-22), 1550 (2010)
Bejan A, Convection Heat Transfer, Wiley, New York (1995)
Bhatara G, Shaqfeh ESG, Khomami B, J. Rheol., 49(5), 929 (2005)
