Simulation of Viscoplastic Flows in a rotating Vessel Using a Regularized Model

A Benmoussa, L Rahmani, B Draoui

Abstract


Viscoplastic fluid characterized by the existence of a residual value for the shear stress, beyond which the material behaves, modeled first by Bingham [1]. This dramatically changes the typical property bustle of performance, quality mixture and the energy consumed by the creation of rigid zones in the mixing device. Thus, regularization methods have been proposed as“augmented Lagrangian method” developed by Fortin and Glowinski [2] and the Papanastasiou [3] model. This regularization has been used in numerous recent papers; another type of regularization suggested by Bercovier and Engelman[4]), that has not seen many applications. For this purpose and in this paper, the characterization of hydrodynamic fields of incompressible yield stress fluid with regularization model of Bercovier - Engelman in a rotating vessel equipped with gate using Fluent CFD code 6.3.


Full Text:

PDF

References


Bingham, E. C. (1922) ‘Fluidity and Plasticity’, McGraw-Hill, New York, pp. 215-218.

Fortin, M and Glowinski, R (1983) ‘Augmented Lagrangian Method’, North-Holland, Amsterdam.

Papanastasiou, T.C (1987) ‘Flows of materials with yield’, Journal of Rheology, vol 31, pp 385–404.

Bercovier, M and Engelman, M (1980) ‘A finite element method for incompressible non-Newtonian flows’, Journal of Computational Physics, pp. 313-326

Frédéric. S.; Pascal, J and Albert, M (2007) ‘ Viscoplastic fluid mixing in a rotating tank Yield stress’, Chemical Engineering Journal, Vol. 62, pp. 2290-2301. Crossref

H.Ameur, M.Bouzit, “Agitation of yield stress fluids by two-blade impellers Canadian Journal of Chemical Engeneering and Technology, vol 3, N° 4 , 2012

Youcefi, S.; Bouzit, M.; Ameur, H.; Kamla, Y and Youcefi, A (2013) ‘Effect of some design parameters on the flow fields and power consumption in a vessel stirred by a rushton turbine’, Chemical and Process Engineering, Vol. 34, No. 2, pp 293-307. Crossref

Bouaifi.M and Roustan. M, Power consumption, mixing time and homogenisation energy indual-impeller agitated gas-liquid reactors, Chemical Engineering and Processing, 40 (2001), 2, pp. 87-95 Crossref

Niedzielska. A, Kuncewicz. Cz, Heat transfer and power consumption for ribbon impellers , Chemical Engineering Science, 60 (2005), 8, pp. 2439-2448. Crossref

Rajeev. K, Thakur, Ch. Viall, G. Gjelveh, M. Labbafi , Mixing of complex fluids with flat-bladed impllers; effect of impller geometry and highly sher-thnning behavior, Chemical Engineering and Processing, 43 (2004), 10, pp.1211-1222. Crossref

Rudolph, L.; Schafer, M.; Atiemo-Obeng, V and Kraume, M (2007) ‘Experimental and numerical analysis of power consumption for mixing of high viscosity fluids with a co-axial mixer’, Chemical Engineering Research and Design, Vol. 85, No. 5, pp. 568- 575. Crossref

Amadei. B and Savage. W, An analytical solution for transient flow of Bingham viscoplastic materials in rock fractures, International Journal for Rock Mechanics and Mining Sciences, 38 (2001), pp. 285-290 Crossref

Anne-Achard, D.; Marouche,. M and Boisson, H.C (2006) ‘Hydrodynamics and Metzner–Otto correlation in stirred vessels for yield stress fluids’, Chemical Engineering Journal, Vol. 125, pp. 15-24. Crossref

Burgos. G.R, Alexandrou. A.N, and Entov. V, On the determination of yield surfaces in Herschel-Bulkley fiinds, Journal of Rheology, 43 (1999), 3, pp. 463-483 Crossref

L. Rahmani1, B. Mebarki1, B. Allaoua, B. Draoui. “Laminar flow characterization in a stirred tank with a gate impeller in case of non-Newtonian fluid,”. Energy procedia 36,pp 418-427, 2013. Crossref

S.M.C.P. Pedrosa, J.R. Nunhez. The behavior of stirred vessels with anchor type impellers, Computers and Chemical Engineering 24 (2000) 1745-1751. Crossref

Yan. J and James. A.E, The yield surface of viscoelastic and plastic fluids in a vane visco-meter, J. Non Newt. Fluid Mech., 70 (1997), pp. 237-253.

Benmoussa, A.; Rahmani, L and Rebhi, M (2015) ‘ Effect of Regularization Parameter on Flow Field and Power Consumption in Agitated Vessel by Two Blade Impeller’, World Applied Sciences Journal; Vol. 3, No. 6, pp. 1025-1031.

Armenante, P.M., Luo, C., Chou, C.C., Fort, I., Medek, J., Velocity profiles in a closed, unbaffled vessel: comparison between experimental LDV data and numerical CFD prediction, Chem. Eng. Sci., 52 (1997), pp. 3483-3492 Crossref

A. K. Sahu, P. Kummer and J. B. Joshi. “Simulation of flow in stirred vessels with axial flow impellers: zonal modeling and optimization of parameter,” Ind. Eng. Chem. Res. 37 (6), 2116-2130. 1998.




DOI: http://dx.doi.org/10.21152/1750-9548.11.4.349

Copyright (c) 2017 A Benmoussa, L Rahmani, B Draoui

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.