Viscous liquids have to be homogenized in continuous operations in many branches of processing industries; and therefore, fluid mixing plays a critical role in the success or failure of many industrial processes. The use of static mixers has been utilized over a wide range of applications from simple blending to complex chemical reactions. Generally, a static mixer consists of a number of equal stationary units, placed on the inside of a pipe or channel in order to promote mixing of flowing fluid streams. These mixers have low maintenance and operating costs, low space requirements and no moving parts. A range of designs exists for a wide range of specific applications. The shape of the elements determines the character of the fluid motion and thus determines the effectiveness of the mixer. There are several key parameters in the design procedure of a static mixer. Some of the most important ones are: the degree of mixing of working fluids, pressure drop across the mixer, and residence time distribution of fluid elements. An ideal static mixer provides a highly mixed material with low pressure drop and similar traveling history for all fluid elements. To choose a static mixer for a given application or in order to design a new static mixer, besides experimentation, it is possible to use powerful computational fluid dynamics (CFD) tools to study the performance of static mixers. This paper extends previous studies by the authors on industrial static mixers and illustrates how static mixing processes of single-phase viscous liquids can be simulated numerically. Using different measuring tools, the global performance and costs of two static mixers are studied.

1.
Sutherland, W.S., 1874, Improvement in apparatus for preparing gaseous fuel, UK Patent 1784
2.
Shah
N. F.
, and
Kale
D. D.
,
1991
, “
Pressure drop for laminar flow of non-Newtonian fluids in static mixers
,”
Chemical Engineering Science
,
46
, pp.
2159
2161
.
3.
Chandra
K. G.
, and
Kale
D. D.
,
1992
, “
Pressure drop for laminar flow of viscoelastic fluids in static mixers
,”
Chemical Engineering Science
,
47
, pp.
2097
2100
.
4.
Xu
G.
,
Feng
L.
,
Li
Y.
, and
Wang
K.
,
1997
, “
Pressure Drop of Pseudo-Plastic Fluids in Static mixers
,”
Chinese Journal of Chemical Engineering
,
5
(
1
), pp.
93
96
5.
Pahl
M. H.
, and
Muschlknautz
E.
,
1982
, “
Static Mixers and Their Applications
,”
International Chemical Engineering
,
22
, pp.
197
197
.
6.
Boss
J.
, and
Czastkiewicz
W.
,
1982
, “
Principles of scaleup for laminar mixing process of Newtonian fluids in fluids in static mixer
,”
International Chemical Engineering
,
22
, pp.
362
362
.
7.
Morris
W. D.
, and
Misson
P.
,
1974
, “
An Experimental Investigation of Mass Transfer and Flow Resistance in the Kenics Static Mixer
,”
Industrial and Engineering Chemistry Process Design and Development
,
13
, pp.
270
279
.
8.
Middleman
S.
,
1974
, “
Drop Size Distributions Produced by Turbulent Pipe Flow of Immiscible Fluids through a Static Mixer
,”
Industrial and Engineering Chemistry Process Design and Development
,
13
, pp.
78
83
.
9.
Morris
W. D.
, and
Proctor
R.
,
1977
, “
The Effect of Twist Ration on Forced Convection in the Kenics Static Mixer
,”
Industrial and Engineering Chemistry Process Design and Development
,
16
, pp.
406
412
.
10.
Joshi
P.
,
Nigam
K. D. P.
, and
Nauman
E. B.
,
1995
, “
The Kenics static mixer: new data and proposed correlations
,”
The Chemical Engineering Journal
,
59
, pp.
265
271
.
11.
Li
H. Z.
,
Fasol
C.
, and
Choplin
L.
,
1996
, “
Hydrodynamics and heat transfer of rheologically complex fluids in a Sulzer SMX static mixer
,”
Chemical Engineering Science
,
51
(
10
), pp.
1947
1955
.
12.
Qi
Y.
,
Kawaguchi
Y.
,
Christensen
R. N.
, and
Zakin
J. L.
,
2003
, “
Enhancing heat transfer ability of drag reducing surfactant solutions with static mixers and honeycombs
,”
International Journal of Heat and Mass Transfer
,
46
, pp.
5161
5173
.
13.
Lang
E.
,
Drtina
P.
,
Streiff
F.
, and
Fleishli
M.
,
1995
, “
Numerical simulation of the fluid flow and the mixing process in a static mixer
,”
International Journal of Heat and Mass Transfer
,
38
(
12
), pp.
2239
2250
.
14.
Visser
J. E.
,
Rozendal
P. F.
,
Hoogstraten
H. W.
, and
Beenackers
A. A. C. M.
,
1999
, “
Three-dimensional numerical simulation of flow and heat transfer in the Sulzer SMX static mixer
,”
Chemical Engineering Science
,
54
,
2491
2500
.
15.
Khakhar
D. V.
,
Franjione
J. G.
, and
Ottino
J. M.
,
1987
, “
A case study of chaotic mixing in deterministic flows: the partitioned-pipe mixer
,”
Chemical Engineering Science
,
42
, pp.
2909
2909
.
16.
Kusch
H. A.
, and
Ottino
J. M.
,
1992
, “
Experiments on mixing in continuous chaotic flows
,”
Journal of Fluid Mechanics
,
236
, pp.
319
319
.
17.
Hobbs
D. M.
, and
Muzzio
F. J.
,
1998
, “
Reynolds number effects on laminar mixing in the Kenics static mixer
,”
Chemical Engineering Journal
,
70
, pp.
93
104
.
18.
Jones
S. C.
,
Sotiropoulos
F.
, and
Amirtharajah
A.
,
2002
, “
Numerical Modeling of Helical Static Mixer for Water Treatment
,”
Journal of Environmental Engineering
,
128
, pp.
431
440
.
19.
Byrde
O.
, and
Sawley
M. L.
,
1999
, “
Optimization of a Kenics static mixer for non-creeping flow conditions
,”
Chemical Engineering Journal
,
72
, pp.
163
169
.
20.
Byrde
O.
, and
Sawley
M. L.
,
1999
, “
Parallel computation and analysis of the in a static mixer
,”
Computers & Fluids
,
28
, pp.
1
18
.
21.
Hobbs, D. M., 1998, “Characterization of a Kenics static mixer under laminar flow conditions,” PhD Thesis, Rutgers, The State University of New Jersey, New Jersey.
22.
Rahmani, R. K., 1997, “Unstructured Three-Dimensional Delaunay Grid Generation and Solving Three-Dimensional Euler Equations,” Master’s Thesis, Sharif University of Technology, Iran.
23.
Thompson, J. F., Soni, B. K., and Weatherill, N. P., 1999, “Handbook of Grid Generation,” CRC Press LLC.
24.
Warming, R. F., and Beam, R. M., 1975, “Upwind Second-order Difference Schemes and Applications in Unsteady Aerodynamic Flows,” Proc. AIAA 2nd Computational Fluid Dynamics Conference, Hartford, Connecticut, pp. 17–28.
25.
Barth, T. J., and Jespersen, D., 1989, “The Design and Application of Upwind Schemes on Unstructured Meshes,” Technical Report AIAA-89-0366, AIAA 27th Aerospace Sciences Meeting, Reno, Nevada.
26.
Vandoormaal
J. P.
, and
Raithby
G. D.
,
1984
, “
Enhancements of the SIMPLE Method for Predicting Incompressible Fluid Flows
,”
Numerical Heat Transfer
,
7
, pp.
147
163
.
27.
Byrde
O.
, and
Sawley
M. L.
,
1999
, “
Optimization of a Kenics Static Mixer for Non-creeping Flow Conditions
,”
Chemical Engineering Journal
,
72
, pp.
163
169
.
28.
Rahmani
R. K.
,
Keith
T. G.
, and
Ayasoufi
A.
,
2005
, “
Three-Dimensional Numerical Simulation and Performance Study of an Industrial Helical Static Mixer
,”
ASME Journal of Fluids Engineering
,
127
, pp.
467
483
.
29.
Heywood, N. I., Viney, L. J., and Stewart, I. W., 1984, “Mixing efficiencies and energy requirements of various motionless mixer designs for laminar mixing applications,” Institution of Chemical Engineers Symposium Series No. 89, pp. 147.
30.
Tung T. T., 1976, “Low Reynolds Number Entrance Flows: A Study of a Motionless Mixer,” Ph.D. Thesis, University of Massachusetts, MA.
31.
Kemblowski
Z.
, and
Pustelnik
P.
,
1988
, “
Residence Time Distribution of a Power-law Fluid in Kenics Static Mixers
,”
Chemical Engineering Science
,
43
(
3
), pp.
473
478
..
32.
Hobbs
D. M.
, and
Muzzio
F. J.
,
1997
, “
The Kenics static mixer: a three-dimensional chaotic flow
,”
Chemical Engineering Journal
,
67
, pp.
153
166
.
33.
Nauman
E. B.
,
1991
, “
On Residence Time and Trajectory Calculations in Motionless Mixers
,”
The Chemical Engineering Journal
,
47
, pp.
141
148
.
34.
Heniche
M.
,
Tanguy
P. A.
,
Reeder
M. F.
, and
Fasano
J. B.
,
2005
, “
Numerical Investigation of Blade Shape in Static Mixing
,”
AIChE Journal
,
51
(
1
), pp.
44
58
.
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