Power Characteristics in Coaxial Mixing: Newtonian and
Non-Newtonian Fluids
Ste ´ phane Foucault, Gabriel Ascanio, and Philippe A. Tanguy*
URPEI, Department of Chemical Engineering, Andre ´ Aisenstadt Building, Room M-5505, Ecole Polytechnique
of Montreal, P. O. Box 6079, Station Centre-ville, Montreal QC H3C 3A7, Canada
The power consumption of a coaxial mixer consisting of a wall-scraping anchor and different
dispersion impellers (radial discharge) operating in co- and counterrotating modes has been
experimentally characterized in the case of viscous Newtonian and non-Newtonian fluids. It
was found that the anchor speed did not affect the power consumption of the dispersion turbines.
The power consumption of the anchor was found to increase when the dispersion impellers were
used in counterrotating mode and to decrease when they were used in corotating mode. Following
the Metzner and Otto approach [AIChE J. 1957, 3 (1), 3-10], new correlations based on the
impeller geometry for the generalized Reynolds number and the power number are proposed,
and it is shown that a power master curve can be generated for speed ratios larger than 10.
Introduction
The importance of the mixing quality during a chemi-
cal reaction in a batch or continuous process is well
recognized. The major design task is the selection of the
most appropriate mixing system according to the pro-
cess specifications. The selection criteria are often based
on the mixture quality (homogenization) and the power
consumption.
1
The selection of the hydrodynamic condi-
tions for a specific process can be particularly challeng-
ing, especially when dealing with time-dependent rhe-
ology products. In some cases, the product viscosity,
initially close to that of water, can reach several pascal-
seconds, thus changing the flow regime and the fluid
dynamics in the vessel. It then becomes harder to
control the reaction in the tank, especially in poorly
agitated zones or the dead zones of the environment.
2,3
Many examples of this particular case can be observed
in the field of polymerization and in fermentation
processes in which the agitation becomes critical to
ensure both good productivity and high selectivity.
The evolution of the fluid rheology can also be caused
by the physical changes of the solution microstructure
(flocculation, gelation, dispersion, etc.). The final viscos-
ity of the product is often higher than the viscosity of
each individual ingredient composing the mixture.
Depending on the nature of the products to be dispersed,
non-Newtonian properties can also develop (nonlinear
viscosity, thixotropic behavior, etc.).
Several innovative strategies have been proposed to
control or eliminate segregated regions in stirred ves-
sels, based, for instance, on coaxial mixers, planetary
mixers, conical mixers, and dual mixers comprising
several impellers rotating at different speeds. Both
numerical and experimental work has been carried out
to characterize planetary mixers,
4
conical mixers,
5
and
several types of coaxial mixers.
6-15
A classical example
of a coaxial mixer is the combination of a high-speed
turbine and a low-speed anchor scraper. It has been
shown that these technologies are capable of adequately
mixing and kneading high-solids-content media such as
coating fluids and pastes and of dispersing gas in
aerated mixing vessels with a low power consumption,
even in the presence of a non-Newtonian rheology. In
practice, however, the design of coaxial mixers is based
on empirical considerations and industrial experience,
and limited knowledge is available for optimizing the
system.
Because of the complex arrangement of a coaxial
mixer (several different impellers, two agitation speeds,
two possible rotation modes), it is quite difficult to
characterize the mixing system in terms of the power
consumption. Tanguy and Thibault
12,13
determined the
power consumption of a new coaxial mixer consisting
of a wall-scraping arm (anchor) and a series of rods and
a pitched-blade turbine operating in counterrotating
mode. They found that the power was a function of the
speed ratio of the fast agitator to the slow agitator in
both the laminar and turbulent regimes. Their correla-
tions allowed for the prediction of the total power
consumption of the system, but they did not allow for
the independent evaluation of the influence of each
agitator on the total power consumption. Recently,
Foucault et al.
15
have shown that the power consump-
tion of radial discharge turbines is not affected by the
anchor rotation whether in co- or counterrotating mode.
Contrary to these findings, Ko ¨hler et al.
14
observed a
large influence of the anchor on the power consumption
of a central agitator provided with flat paddles in
counterrotating mode, for impeller tip speed ratios
between 0 and 10. Vanhove et al.
6
studied the power
consumption of a double coaxial mixer for the prepara-
tion of a silica gel in counterrotating mode. Using two
Mixel TTP propellers on the central shaft, they dem-
onstrated that the power consumption of the propellers
in the turbulent regime was not affected by the anchor
for speed ratios larger than 7.67. All of the above studies
clearly indicate that the interaction between the central
agitator and the scraping agitator affects the power
consumption of each impeller, the degree of which
depends on the system geometry and the speed ratio
selected. Because the various correlations available were
unfortunately developed for specific geometries, it is not
* To whom correspondence should be addressed. E-mail:
philippe.tanguy@polymtl.ca. Tel.: 1-514-340-4040. Fax: 1-514-
340-4105.
5036 Ind. Eng. Chem. Res. 2005, 44, 5036-5043
10.1021/ie049654x CCC: $30.25 © 2005 American Chemical Society
Published on Web 07/28/2004