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Numerical study of hydrodynamic and thermal behaviors of agitated yield-stress fluid

Published online by Cambridge University Press:  30 September 2013

Moez Hammami ,
Amal Chebbi  and
Mounir Baccar
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Abstract

Heat transfer during agitation of Bingham viscoplastic fluid is studied in this paper. The fluid is agitated with an anchor impeller and the heating is made by a jacketed wall of the stirred vessel. Transfers in the agitated vessel, translating hydrodynamic and thermal phenomena, are numerically predicted by means of Computational Fluid Dynamics (CFD) in transient regime. The purpose of this numerical study is to identify the rigid zones and to optimize mixing and heating performances. The Navier-Stokes and energy equations are discretized using finite volume method, and a two-dimensional analysis of the hydrodynamic and transient thermal behaviours generated in the agitated vessel are performed. Fluid rheology is modeled by the Bingham approximation and Papanastasiou’s regularization model. Results show the presence of recirculation zones and permit to explain the unpredicted Nusselt number increasing when Oldroyd number increases. This study shows also the importance of the anchor position on the size and the shape of the rigid zones and on the heating performances.

Keywords

AgitationAnchor impellerViscoplastic fluidRigid zonesHeat transferNumerical analysis
Type
Research Article
Information
Mechanics & Industry , Volume 14 , Issue 4 , 2013 , pp. 305 - 315
Copyright
© AFM, EDP Sciences 2013

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References

Torrez, C., Andre, C., Simulation of a Rushton turbine mixing yield stress fluids: application of the Metzner-Otto concept, Chem. Eng. Technol. 22 (1999) 701–706 3.0.CO;2-L>CrossRefGoogle Scholar
Arratia, P.E., Kukura, J., Lacombe, J., Muzzio, F.J., Mixing of Shear-Thinning Fluids with Yield Stress in Stirred Tanks. AIChE J. 52 (2006) 2310–2322 CrossRefGoogle Scholar
Ein-Mozaffari, F., Upreti, S.R., Using ultrasonic Doppler velocimetry and CFD modeling to investigate the mixing of non-Newtonian fluids possessing yield stress, Chem. Eng. Res. Des. 87 (2009) 515–523 CrossRefGoogle Scholar
P.A. Tanguy, F. Bertrand, E. Brito, Mixing of viscoplastic fluids with anchor impellers, Chemical Engineering Symposium Series (1994) 525–532
Bertrand, F., Tanguy, P.A., Brito, E., A new perspective for the mixing of yield stress fluids with anchor impellers, J. Chem. Eng. Jpn 29 (1996) 51–58 CrossRefGoogle Scholar
Anne-Archard, D., Marouche, M., Boisson, H.C., Hydrodynamics and Metzner-Otto correlation in stirred vessels for yield stress fluids, Chem. Eng. J. 125 (2006) 15–24 CrossRefGoogle Scholar
Savreux, F., Jay, P., Magnin, A., Viscoplastic fluid mixing in a rotating tank, Chem. Eng. Sci. 62 (2007) 2290–2301 CrossRefGoogle Scholar
Baccar, M., Abid, M.S., Caractérisation de l’écoulement turbulent et du transfert thermique générés par des mobiles ancre et barrière dans une cuve agitée, Int. J. Therm. Sci. 38 (1999) 892–903 CrossRefGoogle Scholar
Baccar, M., Mseddi, M., Abid, M.S., Contribution numérique à l’étude hydrodynamique et thermique des écoulements turbulents induits par une turbine radiale en cuve agitée, Int. J. Therm. Sci. 40 (2001) 753–772 CrossRefGoogle Scholar
G. Delaplace, C. Torrez, J.C. Leuliet, N. Belaubre, C. André, Experimental and CFD simulation of heat transfer to highly viscous fluids in an agitated vessel equipped with a non standard helical ribbon impeller, Trans. IChemE 79 Part A (2001) 927–937
Tutar, M., Erdogdu, F., Numerical simulation for heat transfer and velocity field characteristics of two-phase flow systems in axially rotating horizontal cans, J. Food Eng. 111 (2012) 366–385 CrossRefGoogle Scholar
Erdogdu, F., Tutar, M., A computational study for axial rotation effects on heat transfer in rotating cans containing liquid water, semi-fluid food system and headspace, Int. J. Heat Mass Trans. 55 (2012) 3774–3788 CrossRefGoogle Scholar
Papanastasiou, T.C., Flows of materials with yield, J. Rheology 31 (1987) 385–404 CrossRefGoogle Scholar
S.V. Patankar, Numerical heat transfer and fluid flow, Series in Computational Methods in Mechanics and Thermal Sciences, McGraw Hill, New York, 1980
Douglass, J.E., Gunn, J., A general formulation of alternating-direction implicit methods, Numer. Math. 6 (1964) 428 CrossRefGoogle Scholar