The experimental study of the velocity field and power consumption has been conducted in a mixing vessel equipped with a two-bladed impeller for a viscoelastic fluid and Newtonian and non-Newtonian inelastic fluids for comparison. The results are interpreted in the light of a numerical simulation using a finite element method for an “Oldroyd B” fluid. Both numerically and experimentally a significant influence of elasticity is found for an effective Reynolds number greater than a threshold value Re* = 5 to 7. Above this value, the power number is increased and the velocity field deeply modified. This behavior is mainly related to elasticity of the fluid.

1.
Anne-Archard
D.
, and
Boisson
H. C.
,
1995
, “
A Finite Element Simulation of the Cross-Effects of Viscoelasticity and Inertia in an Agitated Vessel
,”
International Journal for Numerical Methods in Fluids
, Vol.
21
, pp.
75
90
.
2.
Bertrand
J.
, and
Couderc
J. P.
,
1985
, “
Evaluation of the Power Consumption in Agitation of Viscous Newtonian or Pseudoplastic Liquids by Two-Bladed, Anchor or Gate Agitator
,”
Chemical Engineering Research and Design
, Vol.
63
, pp.
259
263
.
3.
Bertrand, J., 1983, “Agitation de fluides visqueux. Cas de mobiles a` pales, d’ancres et de barrie`res,” The`se de Doctorat d’Etat de l’Institut National Polytechnique de Toulouse, France.
4.
Bird, R. B., Armstrong, R. C., and Hassager, O., 1977, Dynamics of Polymeric Liquids. Vol I: Fluid Mechanics, Wiley, New York.
5.
Boger
D. V.
,
1977
, “
A Highly Elastic Constant Viscosity Fluid
,”
Journal of Non-Newtonian Fluid Mechanics
, Vol.
3
, pp.
87
91
.
6.
Brito de la Fuente, E., Leuliet, J. C., Choplin, L., and Tanguy, P. A., 1990, “Mixing and Circulation Times in Rheologically Complex Fluids,” Institution of Chemical Engineers Symposium Series No. 121, pp. 75–96.
7.
Carreau
P. J.
,
Chhabra
R. P.
, and
Cheng
I.
,
1993
, “
Effects of Rheological Properties on Power Consumption with Helical Ribbon Agitators
,”
American Institute of Chemical Engineers Journal
, Vol.
39
, No.
9
, pp.
1421
1430
.
8.
Couaraze, G., and Grossiord, J. L., 1985, “Initiation a` la rhe´ologie,” Lavoisier Tech. et Doc., Paris.
9.
Fortin
A.
, and
Fortin
M.
,
1990
, “
A Preconditioned Generalized Minimal Residual Algorithm for the Numerical Solution of Viscoelastic Flows
,”
Journal of Non-Newtonian Fluid Mechanics
, Vol.
36
, pp.
277
288
.
10.
Ho¨cker
H.
,
Langerg
G.
, and
Werner
U.
,
1981
, “
Power Consumption of Stirrers in non-Newtonian Liquids
,”
German Chemical Engineering
, Vol.
4
, pp.
113
123
.
11.
Joseph
D. D.
,
Renardy
M.
, and
Saut
J. C.
,
1985
, “
Hyperbolicity and Change of Type in the Flow of Viscoelastic Fluids
,”
Archive for Rational Mechanics and Analysis
, Vol.
27
, pp.
213
251
.
12.
Keunings, R., 1988, “Simulation of Viscoelastic Fluid Flow,” Fundamentals of Computer Modeling for Polymer Processing, C. L. Tucker Edition, Verlag, Munich.
13.
Leuliet
J. C.
,
Brito de la Fuente
E.
, and
Choplin
L.
,
1992
, “
Me´langes de Fluides e´lastiques avec un agitateur a` ruban he´li¨coidal
,”
Entropie
, Vol.
28
, No.
171
, pp.
53
58
.
14.
Lodge, A. S., 1964, Elastic Liquids, Academic Press, London.
15.
Marchal
J. M.
, and
Crochet
M. J.
,
1987
, “
A New Mixed Finite Element Method for Calculating Viscoelastic Flow
,”
Journal of Non-Newtonian Fluid Mechanics
, Vol.
26
, pp.
77
114
.
16.
Metzner
A. B.
, and
Otto
R. E.
,
1957
, “
Agitation of non-Newtonian Fluids
,”
American Institute of Chemical Engineers Journal
, Vol.
3
, No.
1
, pp.
3
10
.
17.
Piau
J. M.
,
1974
, “
Ecoulement des solutions dilue´es d’un polyoxye´thyle`ne autour des cylindres a` base circulaire
,”
Comptes Rendus a` l’Acade´mie des Sciences de Paris, Se´rie B
, Vol.
278
, pp.
493
495
.
18.
Piau
J. M.
,
1980
, “
A Characteristic Length for Dilute Drag Reducing Polymer Solutions: Measurements Using Hot Film Anemometers
,”
Rheologica Acta
, Vol.
19
, pp.
724
730
.
19.
Shamlou
P. A.
, and
Edwards
M. F.
,
1985
, “
Power Consumption of Helical Ribbon Mixers in Viscous Newtonian and non-Newtonian Fluids
,”
Chemical Engineering Science
, Vol.
40
, No.
9
, pp.
1773
1781
.
20.
Smith
K. A.
,
Merril
E. W.
,
Mickley
H. S.
, and
Virk
P. S.
,
1967
, “
Anomalous Pitot Tube and Hot Film Measurements in Dilute Polymer Solutions
,”
Chemical Engineering Science
, Vol.
22
, pp.
619
626
.
21.
Soliman, M., and Bertrand, J., 1986, “Agitation by Helical Ribbons: Power Consumption, Mixing Time and Local Velocities,” Proceedings of World Congress III of Chemical Engineering, Tokyo, pp. 398–400.
22.
Youcefi, A., Gaudu, R., Bertrand, J., Anne-Archard, D., and Sengelin, M., 1992a, “Mechanical agitation of viscoelastic fluids by a two-bladed stirrer,” Proceedings of the 1992 Institution of Chemical Engineers Research Event, Manchester, U.K., pp. 377–379.
23.
Youcefi, A., Anne-Archard, D., Boisson, H. C., Sengelin, M., Bertrand, J., 1992b, “Etude nume´rique et expe´rimentale de l’e´coulement d’un fluide viscoe´lastique autour d’un agitateur bipale en cuve agite´e,” Collection Re´cents Progre`s en Ge´nie des Prece´de´s, Lavoisier, Paris, Vol. 6, No. 19, pp. 1.1–1.8.
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