A Microcellular Foaming Simulation System with a High Pressure-Drop Rate
Qingping Guo, Jin Wang, and Chul B. Park*
Microcellular Plastics Manufacturing Laboratory, Department of Mechanical and Industrial Engineering,
UniVersity of Toronto, Toronto, M5S 3G8, Ontario, Canada
Masahiro Ohshima
Department of Chemical Engineering, Kyoto UniVersity, Kyoto 606-8501, Japan
In this paper, we undertook an experimental and theoretical analysis of the pressure-drop behaviors of a
batch foaming system with a visualization window that was designed for microcellular foaming simulation.
A polystyrene (PS)-CO
2
system was used in the experiment and analysis. The maximum pressure-drop rate
achievable was 2.5 GPa/s from the designed system. Some experimental simulation results at high pressure-
drop rates and at low pressure-drop rates are also discussed. We observed that the application of a higher
pressure-drop rate results in a higher cell density (and, thereby, a smaller cell size) for plastic foams. This
confirms that the pressure-drop rate is one of the most important parameters to control the cell density of
plastic foams. In addition, the results show that the content of the blowing agent (CO
2
) dissolved into a given
polymer has a significant effect on bubble nucleation and growth.
Introduction
In the past decade, efforts have been made to reduce cell
size and enhance cell size uniformity in microcellular plastic
foams, because plastic foams with a finer cell size and a more
uniform distribution exhibit better mechanical and thermal
properties.
1-6
Park and co-workers
7,8
have shown that the
pressure-drop rate has a strong role in determining the cell
density of foams in a continuous extrusion processes. In reality,
the pressure drop is not instantaneous; it occurs over a finite
time period. During the course of the pressure drop, the gas in
the solution will either diffuse into the nucleated cells or nucleate
new cells to reduce the free energy of the system. The higher
the pressure drop, the more gas that is used for cell nucleation
instead of for cell growth. Consequently, the cell density (i.e.,
the number of cells per unit volume of unfoamed plastic) is
expected to be large. Therefore, a high pressure-drop rate is a
critical factor in microcellular plastic foam processing. In
addition, Park et al.
9
have demonstrated that the content of the
blowing agent (gas) dissolved into a given polymer has a
significant effect on bubble nucleation and growth. Generally,
the more gas that is dissolved into a polymer, the smaller the
bubble size and the larger the bubble number. The amount of
gas in a polymer is decided by the solubility of the gas in that
polymer and the given saturation conditions (i.e., the initial
temperature and pressure). Thus, the saturation conditions are
yet other critical factors to be considered in the microcellular
plastic foaming process.
A fundamental understanding of how the properties of
materials and the processing parameters affect the foaming
processes is required to manufacture high-quality plastic foams.
Experimental and computer simulation studies based on certain
fundamental properties (i.e., the thermophysical and rheological
properties of polymer/gas mixtures) are important to elucidate
the cell nucleation and growth behaviors in foam processing.
Hitherto, much research has been conducted on foaming
processes, from both experimental and theoretical viewpoints.
Most experimental studies have focused on the use of the actual
processing equipment while varying the processing conditions,
material compositions, and system configurations. Efforts have
been made to investigate the effects of these parameters on cell
nucleation and growth behaviors. However, because of the
numerous parameters that have a role in the actual foaming
procedure, very limited success has been achieved in identifying
the fundamental mechanisms of cell nucleation and expansion
using the processing equipment.
7,10-16
To better understand the
nature of the various foaming mechanisms, some researchers
have mounted a visual window in the mold and/or die.
12-16
For
example, Villamizar et al.
12
performed visual observation
experiments on the injection foam molding of a mixture of
polyethylene and a chemical blowing agent, using a rectangular
mold cavity with glass windows on both sides. Han and co-
workers
13,14
performed a visual observation of bubble nucleation
in shear flow of a mixture of polystyrene (PS) and trichloro-
fluoromethane, using a light scattering technique; they reported
several types of nucleation mechanisms. Xanthos et al.
15
recently
developed an in-line optical method that is used to generate
the solubility data of inert gases in PS and poly(ethylene
terephthalate) (PET) in single- or twin-screw extruders with gas
injection capabilities. Shimoda et al.
16
conducted visual observa-
tion experiments of polypropylene mixed with isobutene in a
shear flow. All of these studies focused on visualization during
the actual processing, and valuable information about bubble
formation was obtained. However, because of the dynamic
nature of the flow during actual processing, achieving control
of the parameters in the visualization window was not easy and
the information derived from the visualization window was
limited.
However, some researchers have focused on experimental
simulations under static conditions; these situations allow for
better control of the processing parameters when studying cell
nucleation and growth behaviors. With the help of a high-speed
camera, a microscope, and image processing, Ohyabu et al.
17
designed a high-pressure visualization device to observe the
early stages of bubble nucleation and growth behaviors of
molten polypropylene when it is dissolved with supercritical
carbon dioxide. Oshima and co-workers
18-20
also designed and
* To whom correspondence should be addressed. Tel.: +01-416-
978-3053. Fax: +01-416-978-3053. E-mail address: park@
mie.utoronto.ca.
6153 Ind. Eng. Chem. Res. 2006, 45, 6153-6161
10.1021/ie060105w CCC: $33.50 © 2006 American Chemical Society
Published on Web 08/08/2006