Simultaneous Hydrodynamic and Thermal Flow Development of a Thermodependent Viscoplastic Fluid
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Abstract
Numerical analysis of simultaneously developing forced convection laminar flow and heat transfer of a viscoplastic fluid has been carried out. This fluid is incompressible and of thermodependent rheological properties. It consists on the sloe fruit juice with low pulp and pectin contents, which obeys the rheological law of Bingham and for which we adopt the Papanastasiou model to describe its behaviour. The flow takes place in an isothermal circular pipe. In order to validate the computing code, parametric computations were performed to investigate the effect of Reynolds, Prandtl and Bingham numbers on heat transfer. The effect of wall-to-inlet temperature difference on velocity and temperature profiles, Nusselt number and apparent friction factor was then analysed, by taking into account the temperature dependency of the fluid’s plastic viscosity and yield stress, for both heating and cooling situations. The results show on one hand, that the variability of the plastic viscosity provides more effect on hydrodynamic and thermal characteristics than the variability of the yield stress. On the other hand, the effect of variable plastic viscosity is more pronounced on the friction factor than on the Nusselt numbers.
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E. J. Dean, R. Glowinski, G. Guidoboni, On the numerical simulation of Bingham visco-plastic flow: old and new results, J. Non-Newtonian Fluid Mech. 142 (2007) 36-62.
http://dx.doi.org/10.1016/j.jnnfm.2006.09.002
P. R. Johnston, Axial conduction and the Graetz problem for a Bingham plastic in laminar tube flow, J. Heat Mass Transfer 34-4/5 (1991) 1209-1217.
http://dx.doi.org/10.1016/0017-9310(91)90029-e
A. Wachs, Numerical simulation of steady Bingham flow through an eccentric annular cross-section by distributed Lagrange multiplier/fictitious domain and augmented Lagrangian methods, J. Non-Newtonian Fluid Mech. 142 (2007) 183-198.
http://dx.doi.org/10.1016/j.jnnfm.2006.08.009
G. C. Vradis, J. Dougher, S. Kumar, Entrance pipe flow and heat transfer for a Bingham plastic, J. Heat Mass Transfer 36-3 (1993) 543-552.
http://dx.doi.org/10.1016/0017-9310(93)80030-x
K. J. Hammad, G. C. Vradis, Viscous dissipation and heat transfer in pulsatile flows of a yield stress fluid, Int. Comm. Heat Mass Transfer 23-5 (1996) 599-612.
http://dx.doi.org/10.1016/0735-1933(96)00043-7
T. Min, H. G. Choi, J. Y. Yoo, H.Choi, Laminar convective heat transfer of a Bingham plastic in a circular pipe II. Numerical approach hydrodynamically developing flow and simultaneously developing flow, Int. J. Heat Mass Transfer 40-15 (1997) 3689-3701.
http://dx.doi.org/10.1016/s0017-9310(97)00004-5
U. C. S. Nascimento, E. N. Macêdo, J. N. N. Quaresma, Thermal entry region analysis through the finite integral transform technique in laminar flow of Bingham fluids within concentric annular ducts, Int. J. Heat Mass Transfer 45 (2002) 923-929.
http://dx.doi.org/10.1016/s0017-9310(01)00187-9
E. J. Soares, M. F. Naccache, P. R. Souza Mendes, Heat transfer to viscoplastic materials flowing axially through concentric annuli, Int. J. Heat Fluid Flow 24 (2003) 762-773.
http://dx.doi.org/10.1016/s0142-727x(03)00066-3
R. Khatyr, D. Ouldhadda, A. Il Idrissi, Approche analytique de la convection forcée des fluides de Bingham dans un tube, C. R. Mecanique 330 (2002) 69-75.
http://dx.doi.org/10.1016/s1631-0721(02)01422-5
R. Khatyr, D. Ouldhadda, A. Il Idrissi, Viscous dissipation effects on the asymptotic behaviour of laminar forced convection for Bingham plastics in circular ducts, Int. J. Heat Mass Transfer 46 (2003) 589-598.
http://dx.doi.org/10.1016/s0017-9310(02)00331-9
G. Duvaut, J. L. Lions, Transfert de chaleur dans un fluide de Bingham dont la viscosité dépend de la temperature, J. Funct. Anal. 11 (1972) 93-110.
http://dx.doi.org/10.1016/0022-1236(72)90081-x
M. Soares, M. F. Naccache, P. R. Souza Mendes, Heat transfer to viscoplastic materials flowing laminarly in the entrance region of tubes, Int. J. Heat Fluid Flow 20 (1999) 60-67.
http://dx.doi.org/10.1016/s0142-727x(98)10044-9
C. Nouar, Thermal convection for a thermo-dependent yield stress fluid in an axisymmetric horizontal duct, Int. J. Heat Mass Transfer 48 (2005) 5520-5535.
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2005.06.016
G. Vinay, A. Wachs, J. F. Agassant, Numerical simulation of non-isothermal viscoplastic waxy crude oil flows J. Non-Newtonian Fluid Mech. 128 (2005) 144-162.
http://dx.doi.org/10.1016/j.jnnfm.2005.04.005
E. Mitsoulis, On creeping drag flow of a viscoplastic fluid past a circular cylinder: wall effects, Chem. Eng. Sci. 59 (2004) 789-800.
http://dx.doi.org/10.1016/j.ces.2003.09.041
T. C. Papanastasiou, Flow of materials with yield, J. of Rheology 31 (1987) 385-404.
http://dx.doi.org/10.1122/1.549926
M. Chatzimina, G. C. Georgiou, I. Argyropaidas, I. Mitsoulis, R. R. Huilgol, Cessation of Couette and Poiseuille flows of a Bingham plastic and finite stopping time, J. Non-Newtonian Fluid Mech. 129 (2005) 117-127.
http://dx.doi.org/10.1016/j.jnnfm.2005.07.001
A. Ibarz, A. Garvin, J. Costa, Rheological behaviour of Sloe (Prunus Spinosa) fruit juices, J. Food Eng.. 27 (1996) 423-430.
http://dx.doi.org/10.1016/0260-8774(95)00024-0
S. V. Patankar, Numerical heat transfer and fluid flow (Hemisphere Publishing Co., New York, 1980).
http://dx.doi.org/10.1002/cite.330530323
N. Labsi, A. Boutraa, Y. K. Benkahla, Thermal study of the laminar flow of a Bingham plastic in a horizontal circular pipe maintained at uniform temperature, Chemical Engineering Transactions 11 (2007), Proceeding of the 8th International Conference on Chemical and Process Engineering ICheaP-8, AIDIC. Ischia Italy, June 24-27 (2007).
A. Boutra, N. Labsi, Y. K. Benkahla, Etude thermique de l’écoulement en convection forcée d’un fluide viscoplastique dans une conduite maintenue à température uniforme : influence de la dissipation visqueuse, Actes du Congrès annuel de la Société Française de Thermique, Congrès Français de Thermiqu SFT 2008, Thermique Aéronautique et Spatiale. Toulouse France, June 3-6 (2008).
A. Boutra, N. Labsi, Y.K. Benkahla, Etude de l’écoulement en mode de convection forcée d’un fluide de Herschel-Bulkley dans une conduite maintenue à température pariétale uniforme, Actes du Congrès annuel de la Société Française de Thermique, Congrès Français de Thermique SFT 2009, Efficacité énergétique. Vannes France, May 26-29 (2009).
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