7 Rheology of Polyols and Polyol Slurries for Use in Reinforced RIM Downloaded by UNIV OF CALIFORNIA SANTA BARBARA on March 2, 2018 | https://pubs.acs.org Publication Date: January 8, 1985 | doi: 10.1021/bk-1985-0270.ch007
1
2
1
1
M. M.CROSS ,A.KAYE ,J. L.STANFORD ,and R. F. T. STEPTO 1
Department of Polymer Science and Technology, University of Manchester, Institute of Science and Technology, Manchester,M6O1QD, England Department of Mathematics, University of Manchester, Institute of Science and Technology, Manchester,M6O1QD, England
2
Measurements with glass fibre/polyol slurries demon strate that fibre aspect ratio, l/d, is a dominating factor in relation both to attainable fibre loading and to slurry rheology. The fibre packing fraction, Φo, measured by sedimentation, is shown to be a rapidly decreasing function of weight average l/d. For fibres of different l/d the relative viscosity of the slurry at low rates of shear is a unique function of Φ/Φo, where Φ is the fibre volume fraction. The rheo logical investigation is based on novel instrumentation and techniques for measuring the viscosity of glass fibre slurries at shear rates from 1 to 10 s . Measure ments up to 10 s are based on modified cone and plate geometry, while the higher shear rates are attained with a capillary viscometer attached to a RRIM machine. Measurements on polyol blends with the RRIM viscometer show a slight fall in viscosity as the shear rate is increased to 10 s , but beyond this point there is a sharp rise in viscosity which is thought to be associated with boundary layer effects. 6
4
5
In
t h e RRIM p r o c e s s the i n i t i a l
dispersion
of
into
the mould.
This
for
of
flow.
of In
glass
tively fibre
little length
practical fibre
the
of
rheology has been
difficulties
involved
fibre
to
under
spherical
widely
particles
cylindrical
d.
One r e a s o n
associated with
the
studied
particles for
every
this
conditions behaviour
but or
stage flow
rheological
differing
the packing
have been e x t e n s i v e l y done f o r
at
the f i n a l
a sound knowledge o f
slurries
and diameter
I
is
reinforcing
compara fibres,
of
may b e t h e
r h e o l o g i c a l measurements
on
slurries. In
take
calls
fibre
the case
and d i s p e r s i o n
-1
rheological behaviour
from
properties
-1
-1
the present
a systematic viscosity
of
a glass
to
identify
in
a preceding paper
aspects
of
investigation
investigation
t h e more
fibre
important in
this
it
of
has not been p o s s i b l e
a l l
slurry,
the variables but an attempt
parameters.
volume
rheological behaviour
that
(J_) w e r e
have been
to
has been
Polyol
blends
used.
Three
under
might
affect made
as d e s c r i b e d specific
investigated.
0097-6156/85/0270-0097$06.00/0 © 1985 American Chemical Society
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.
98
REACTION INJECTION M O L D I N G 1.
A study
of
the
dependence slurry 2.
3.
relevant
machine,
of
rates
the
in
rate
shear
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example,
for φ
of
between
the
For ratios aspect
particles factor
for
is
is
previously
(])
filamentation in
several
noted
v-j
fraction
of
fibre
case
(v / 2
are
the
reality
be
a rapidly
empirically
φ
a
1/φ Equation
)[1
2 has
the
φ
0
is
results is
material
in
care
fibres
the
data.
completely
were
uniformly
detailed under
gravity.
medium by hand
taken
to
poured into
by v i g o r o u s
the
but
longer
be r e a c h e d .
w represents slurry,
level
the
the
that
measuring
tapping,
with to
ensure a
sedimentation
If
/(wp^)]"
the
glass
samples
fibres, The was
weight
packing
of
a function are
of
and the
clear
weight
average
basis
from Figure £/d.
and c a n be
w
workers
average
on t h i s
is
essentially
Other
number
represented
(&/d)
polyol.
CSG u s i n g
and i t
of
(1)
1
bimodal blends.
of
higher
relation
of
poor
is
(PB021)
was
was
(100-w)p
with
considerably
17um.
dispersed
+
aspect
(3).
be any comparable
equilibrium
the
determined
Isham
particularly
the
can be
φ
σ
is
in 2
that
seen
represented
equation
ο
a
For
and
0
sedimentation of
slurry
and a l s o
function
the
exists
voidage
1-φ ,
and by
work
equilibrium
decreasing function by
of
different
blends
dispersed
assisted
from
correlation is
0
the
0
volume
strand
CSG g r e a t
densities
that
and a c c o r d i n g l y the
in
was
the in
V l
materials
The
φ ,
HMG o f
to
present
volume V2-
c a r r i e d out
have contended 1.
there
close packing.
hexagonal close
(CSG), where
allowed for
fibre
were
(2)
polyol
stages,
calculated
-
of
fraction
appear
the
The
was
final
glass
and
mono-disperse
Figure
of
overall
σ
simu
machine.
is
bulk
determined by
the
was
0
Measurements
iTd
of
days were
Φ
(2,4)
the
integral
in
corresponding to
φ
Pg
glass do n o t
complete.
the
and a l s o
percentage
where
fraction
had a diameter
Sedimentation
slow
s~1, a
distribution
a state
and d a t a f o r
the
was
0
the
was
a RRIM
a volume
miscible
throughout
and i n
cylinder.
that
and φ
10^
using
a c o n d i t i o n of
(HMG),
air,
there
the
A known w e i g h t stirring,
volume
in
Accordingly, one of
CSG u s e d
and
in
packing
strand
important in
on
0
occur,
filamentised.
shear
based
1/φ ·
chopped
ratios
it
became
the
represents
measurement
dispersed The
spheres If
is
a RRIM
at
geometry.
to
head,
shape and s i z e
have been p u b l i s h e d by M i l e w s k i
However,
its on
Fraction
c o r r e s p o n d i n g to
σ
study
extending
mixing
in
rheology
and p l a t e
a t t a c h e d to
hammer-milled glass
direct
fibres,
influence
behaviour
This
cone
the
Packing
a defined (φ )
uniform
volume
Here
Fibre
of
in
viscometer
= 0.74.
0
glass
slurry
s~1.
viscometry,
conditions
fraction
packing,
by
r a n g e 0-10^
High
particles
of
and i t s
recirculation
and p o l y o l
with modified
Measurements
bulk
to
polyol
viscometry
capillary
For
dimensions
rheology.
A study,
lating
volume
packing behaviour
on f i b r e
-
1 .38
definite
+ 0.0376U/d) w
implications
1
for
,
(2)
4
the
maximum f i b r e
loadings
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.
to
CROSS ET AL.
Rheology of Polyols and Polyol Slurries
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O20i
015
0.10
0.051-
(Vd)n 50
100
150
F i g u r e 1. P a c k i n g f r a c t i o n (0 ) of g l a s s f i b r e s as a f u n c t i o n of number average J?/d. K e y : Ο, S o n o d i s p e r s e samples; X , bimodal samples. (The p o l y o l b l e n d used was PB021 ( Ο . 0 : 2 : 1 of p o l y o l s T 3 2 / 7 5 : LHT240: EG. The f i b r e s were CSG of 17 μπι diameter. Bimodal m i x t u r e s were o b t a i n e d by u s i n g p a i r s of monodisperse samples such t h a t the d i f f e r e n c e s between weight and number averages were as l a r g e as p o s s i b l e . )
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.
100
REACTION INJECTION M O L D I N G
which £w
c a n be u s e d
=
1.5mm,
fraction 0.45mm
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gives
in
polyol
give
l/d
= 30
fraction
of
0.339.
would a good
Modified
Cone
Preliminary
gap
cone
setting
both
higher
of
the
using
is
Difficulty sample
the
cone
relative
the
readings
operating
The
cone
fluid. the face
In
that
theoretical of
the
in
from
be a c h i e v e d ,
longer
were of
of
high
meet It of
cone
rate
of
basic
its
shear
test
cone
is
operate with
cone
apex
In
set
this
at
programs
have been w r i t t e n
has
been
the
The
test
cones.
associated this
system
With
Figure the
The 3
the
work
the
torque
reason
the
truncation
geometry,
of
cone the
cone
there
over
kept
the
small.
large is
gaps
no
Accordingly and
used
a new
involve are
to
is
ω.
such
be p u b
a function
of
Computer The
which
analysis
can be
re
angle. annular
a comparison of
developed is
does not
zero
to sur
viscosity/shear
analyse data.
concept
truncated
with
to
with
shows
there
measured torque
plate
test
set
the
difficult
velocity
plate
the
a displaced
sample.
present
angular
and used
and P l a t e .
be new.
the
and
way r e l a t i v e l y
regarding
fluid.
parallel
a d i s p l a c e d cone
annular for
a p p l i e d to
large
a displacement
disadvantage that
within
c and i t s
not
normally
to
Essentially,
displacement
of
the
modifications
contact with
mathematical analysis
elsewhere.
speeds
cone
possible
b a s i c assumptions the
rotate
balls
within
in
the
shear
the
of
is
plate. is
with
place,
low
Two
apex
the
because
to
take
advantage of
rate
the
Cone
and
adopted.
of
to
for
with
plate
w h i c h was
Details
Annular
pip
be a s s o c i a t e d w i t h
r h e o l o g i c a l d a t a becomes more
of
did
assumptions.
thought
and
The
resembling
and p l a t e ,
condition
also
the
the
relatively
clumps
seemed t o
The
where
there
at
into
a uniform
with
rotation
problem which
The
a
cone
impossible
the
as
using
using
gap c o r r e c t l y
to
garded
slurries
aspect ratio
suspended p a r t i c l e s .
this
is
i.e.
the often
Shearing
geometry were
to
involves
also
also
a central
movement o f
also
forming
the
provides
but
setting
and when
erratic.
position
a uniform
cone
to
and
mono-
encountered
approach
lished
2
for
cones.
mathematical
the
(2)
fibre
cone w i t h
fibres
was
plate,
and P l a t e .
surface
characteristics
It
it
computation of
normally
equation
and p a r t i c l e
vertical
difficulties
plate.
'c'
with
to
fibres
size
system,
the
weight
length
= 0.0173
0
rheogoniometer
difficulties
gap between the
the
can the
very
These
order
cone/plate
the
and p l a t e
is
that
a
fibre
φ
Milewski
on g l a s s
a truncated
Serious
position.
D i s p l a c e d Cone
geometry
the
and a F e r r a n t i - S h i r l e y
standard
experienced in
to
were
narrow the
in
resulted
wool.
geometry,
resistance
test
cotton
attempted
particularly
was
the
of
d a t a of
(e.g. to
concentrations.
high
compared w i t h
=100
w
same d i a m e t e r ) ,
may b e n o t e d the
U/d)
corresponding
Reducing
a Weissenberg
essentially
fibre
sometimes
It
both
purposes.
very
the
of
were
and p l a t e
instruments,
at
stream.
(for
instruments,
viscometer
particle
with
= 0.0398,
0
Viscometry
measurements
cone
a fibre
φ
rods.
and P l a t e
laboratory
truncated
the
representation
wooden
plate
Thus
0.092
disperse
two
RRIM.
gives
of
a weight
in
d = 0.015mm)
is
a small
flat In
cone
is
truncated
error
surface, turn,
and and
this
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.
imposes
CROSS ET AL.
Rheology of Polyols and Polyol Slurries
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7.
Figure 3.
T r u n c a t e d and a n n u l a r
cones.
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.
101
102 a
REACTION INJECTION MOLDING limit
to
normally With
attainable
the
the
range
of
the
radii
a]
and a2-
and the
ches The
unity
torque
the
τ
gap w i d t h , to
cone
is
there
σ is
the
=
shear
the
the
viscosity,
1 a
for
cone,
the
η,
The
conventional of
and the
difficulties
were
to
represent
using
adopted the
largely
a
non-Newtonian
for
wide
and w i t h of
flow
curves
in
for
PBA1478,
This
is
different
(see
to
be
subsequent
employed,
although
fibre
fibres.
slurries
concentration.
found
all
gaps
overcome,
longer
new
checked by c o m p a r i -
A g r e e m e n t was
were With
was
fibre
were
polyols
sition
and v i s c o s i t y , molar
and
mass
11.3
CO)
exhibited
slight increase
illustrated w/w
in a
in
Figure
concentrations
measured w i t h
Figure
5
At
the
a given
a plot
against
volume
lengths
suspended i n
the
relative
only
apply if Figure
slurry
viscosity,
dotted
vertical
different
fibre
5
in
both
viscosity
of
3°
the is
two
the
fibres the
and a l s o
the
indicate
lengths
are
major
and i t
is
was
no
the
of
CSG o f
should
Again there to
the
of
of
different
is
evidence
be emphasised t h a t of
fibre
packing
experimental seen t h a t ,
media.
rate
precise nature
a well-defined
influence
in
a
signifi-
two
slurries
influence the
of
zero
polyols.
in
there
other
respectively
at
insensitive
two compo-
b l e n d and the
viscosity
for
it
in
chemical
25°C b e i n g
viscosities
relative
However,
shows
lines
of
at
concentration
relative
concentration,
suspending medium.
sion.
viscosities
between the
shows
70um HMG d i s p e r s e d
significantly
one b e i n g a d i o l / t r i o l
triol,
Poise.
differences
measured using
differing
higher
will
angular
cone.
different
the
cone measurements
validity
became more marked w i t h
Viscosities
that
3°
and'fitted
glass
a series
fibre
aluminium
which
CSG d i s p e r s e d
shear
A prototype in
the
1.5mm,
1.4
made
behaviour,
4 with
cant
(3)
(4)
decalin.
slurries.
general,
length
annular
in
remained a problem with
fibre
. = σΑ
2
(5)
1100um was
new t e c h n i q u e s
on f i b r e
In
2. a )
total
= ω/α
c o n e / p l a t e geometry
experimental
thinning
by
-
of
configuration.
and the
given
,2
value approa
= ατ/(ωΑ)
polyisobutylene
shear
is
the
a-|/a2
and p l a t e
the
bounded by
by
and t h e i r
measurements
Results.
to
As
maintained
surface
and a n n u l a r
techniques
solution
clumping
limitation
a ring
is
since
surface
viscometer.
son w i t h
excellent,
no
cone/plate system.
d i s p l a c e d cone
expérimental
are
Also
given
a gap w i d t h o f
a Ferranti-Shirley
is
error
conical
2j 2πσ da = - y -
= ω/tana
is
conventional
with
Gap w i d t h s
2
stress.
η as
a.
comparable the
to
rate
conical r 3
2πσ
γ and
there
shear
a
where
no
over
approximates
over
τ
is
developed
uniform
developed
tan
can be c o m p a r a t i v e l y l a r g e .
system of
a2
100Mm.
Consequently
gap w i d t h
condition
torque
10
annular
whole a2,
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the
in
state
of
disper-
aspect ratio behaviour.
values each
of
this
of
case,
φ
0
the
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.
for
on
The the
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CROSS ET AL.
Rheology of Polyols and Polyol Slurries
F i g u r e 4. Flow curves f o r 1.5mm CSG d i s p e r s e d i n PBA1478. (1) f o r s p e c i f i c a t i o n of p o l y o l b l e n d PBA1478.
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.
See
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REACTION INJECTION M O L D I N G
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.
7.
viscosity approach The by
is
rising
to
a s y m p t o t i c a l l y as
conditions
viscosity
replotting
viscosity
at
n
zero
of
data
as
r
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k
is
ised
called
derived
from
gives
volume f a c t o r
kφ
=
0
1,
shows
accordance
against
in
large
the
curves
of
7
and p l a t e
viscometers ,
2 χ
are
essential,
d e s i g n and c o n s t r u c t
attachment The
mixing
1/4 in
could of
head
of
employed
inch outer inner
be r a p i d l y
highest
extended to narrow
bore
an epoxy
fittings mounted
was at
The
linear
values
gradient
of
of
the
φ
0
linear
equates with
the
to
superposed and of
relative
linearised
fluidity
to
is
liquid
the
of but
in
with
rate
rate
5 χ
head.
tubing, lengths.
the
the
10-*
the
drop
minimise
these
a float
in
were
were used
to
for
measure in
where
to
entered
the of
centre the
in
tube.
collected
Liquid
6 horizontal
tube
Swagelok
diameter,
connected
in
range length
and hence
order
the at
inch
transducers
In
of
on
The
i.d.
inch
a l o n g the
any i r r e g u l a r i t i e s
through
inch
RRIM m a c h i n e ,
tube
1/4
s"^ .
1/4
c a p i l l a r y was
a vertical
use
selected
requirements
a 3/16
a p p r o x i m a t e l y 35cms
through
b a f f l e d by a d i v e r s i o n
were
pressure
pressure
for
was
cementing a short
inside psi
of
it
the
steel
available
was
displacement transducer. to
much
region
in
suitable
thickness
expedient of
0-5000
is
viscometer
c a p i l l a r y and n o r m a l l y
emerging from
cylinder order
to
diameters
was m e a s u r e d b y m e a n s o f
a linear
rate
a p p r o x i m a t e l y 500cm^ s ~ 1 .
cylindrical vessel,
collecting
is
the
Accordingly,
stainless
and cut
tubing
rate where
interchangeable capillaries
and w a l l
r e c o r d the
the
level
of
limit in
conditions
Compatability with
volume flow
viscometer,
shear
However,
the
retained.
mode
rates
shear
slurries,
practical
(o.d.)
shear
inch o.d.
end of
attainable
glass-fibre
shear
internal
rates
by
adhesive.
thus
usual
s~1
3/16
highest
a high
(i.d.)
attainable
large
was
the
and c o n v e n i e n t l y i n t e r c h a n g e d by the
this,
base
5
simulating
diameter
shear
1θ6
each
differential
ture
The
a RRIM m a c h i n e .
operating pressures.
the
liquid
relation and
CSG c a n b e
using
a plot
a series
diameter
attainable
high
the
(5)
(7)
the
estimated
i n c h Swagelok f i t t i n g s ,
using
for
viscosity
with
with
a RRIM m a c h i n e ,
viscometer
on
a
compares
for
differing
of
A
0
1
the
but
to
decided
was
-φ)
0
Figure
s"*',
the
tubing
φ/φ ·
viscosity.
data
reduces
1
in
the
curve
relative
RRIM V i s c o m e t e r
region of
s-1
basis
of
the
(6)
(φ
with
10
1/4
a single
that
°
the
6
σ
This
These
function
intrinsic
6
- [1-Φ/Φ ]"
Equation
gap d i m e n s i o n s
based
Μ >
to
gives
intrinsic
lower. 6
(6),
log
Equation
four
an
σ
cone
the
the with
with
d e r i v e d by Mooney
σ
against
r
i.e.
0
φ/φ .
High-Shear With
a unique
Equation
i.e.
n 6
is
and φ/φ »
dimensionless
and
φ ,
indicating
0
0
r
to
c a n be reduced
φ/φ >
sedimentation measurements.
plot
in
5
of
= [1-Φ/Φ Γ
with
log n
bulk
Figure
rate
r
the
conformity
by p l o t t i n g
Figure
and Dougherty
n
In
of
viscosity
m o d i f i e d , by K r i e g e r
φ tends
maximum p a c k i n g .
a function
shear
between d i s p e r s i o n
where
105
Rheology of Polyols and Polyol Slurries
CROSS ET AL.
a
the
the
arma
the of
the
surface
it
channels arranged
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.
REACTION INJECTION M O L D I N G
106
radially of
at 60° angular
spacings
By
connecting the output
recorder, is
the rate
the radius
of
of rise
Also,
if
Newtonian
at the base
2
radius
flow,
is
If
Ρ is
the pressure η of
η The
capillary
the appropriate
d^
of
the tube d2
Viscous order was
heating
walls
is
perfectly are
is
=
3
r,
(8) the shear
2
along is
4
were
steel
tubing.
or more,
that
Correction.
and shear
t h e measurements
i n the c a p i l l a r y . both
andalso
adiabatic,
In it
fluid
viscosity
t o have been
first
the f i r s t
conditions
where
ρ and s are the density mean t e m p e r a t u r e
response
rise
were
throughput
(height)
recorded, is
on the plateau
the volume-time This
shows
similarity is
gradient
indicated
drop,
7.
where
Ρ is
which
Equation
a specific
11
measure
three
t h e volume recording
The pressure
pulse
calculations essentially
is
were constant
.
f o r Ρ andΤ
relation
plot
is
between
Conformity
on a polyol
a linear heat
of
of the
linearity.
the theoretical
gave
side
A typical
andv i s c o s i t y
shown b y measurements
capillaries,
Under given by
was r e c o r d e d b y means
rise.
i n Figure
region,
for adiabatic conditions
is
liquid.
For each v i s c o s i t y
corresponding with
result
(7).
on the output
the pressure
i n form,
P,
such as
This
the liquid
i n the form of the pulses
consistent
was a l s o
variables
heat of the
the liquid
10°C.
shown
usually
heat drop,
U l )
and the temperature
andvolume
rectangular
A basic
of
namely
approximately based
of
of
conditions
P/(ps)
and s p e c i f i c
a n d c o u l d b e up t o
pressure
rise
chrome 1-alumel t h e r m o c o u p l e
quantities
The
-
the total
dimensions.
through
case
where
by Jakobsen and Winer
t h e mean t e m p e r a t u r e ΔΤ
treated
on the pressure
and c a p i l l a r y
it
influenced by
conduction
situation,
of other
of the
as 1 0 ° s"^,
limiting
c a n b e shown t h a t
noted
these
heat
for the other
rate,
equation
length
diameter
internal
The problem has been
shear
different
and the
be greatly
f o r t h e s i t u a t i o n where
independent
Τ
a measured
as high
would
and i s
and
9
With v i s c o s i t i e s
rates
the c a p i l l a r y ,
found.
the
Z
equation
T h e mean o u t e r
a micrometer
along
and
length
measured by weighing
stainless
depends only
for
of
(10)
volume
capillary
wall,
(9)
by the P o i s e u i l l e
per unit
The
at the
2
negligible,
essentially
fast
rate
3
the capillary
given
conducting walls.
dissipation
appears
R
rate,
( 4 R / r ) dh/dt
andTemperature
10 P o i s e
mathematically, the
flow
given by
was m e a s u r e d w i t h
anticipated
viscous
andQ t h e volume
to a pen
and,if
calculated.
Heating
of
vessel
transducer
was o b t a i n e d ,
= r P/(8R Adh/dt)
diameters
of
diameter
drop
the f l u i d
π
(dh/dt)
dh/dt
ÏÏR
y = 4(}/
viscosity
liquid
the c o l l e c t i n g
the c a p i l l a r y
assuming
a
block
of the displacement
of
Q =
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in a cylindrical
the vessel.
with
Ρ
this
b l e n d w i t h two
of ΔΤ against
of 0.45 c a l g " ^ ,
in
P.
resonable
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.
CROSS ET AL.
Rheology of Polyols and Polyol Slurries
107
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7.
τ
1
1
1
1
1
0
5
10
15
20
r
TIME ( S E C O N D S )
F i g u r e 7. T y p i c a l RRIM v i s c o m e t e r t r a c e s f o r p r e s s u r e and volume throughout.
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.
REACTION INJECTION MOLDING
108 agreement
with
conventional
an e x p e r i m e n t a l v a l u e
method based
on the
of
0.50
mixing
of
cal g"
liquids
o b t a i n e d by
1
at
a
different
temperatures. The
viscometer
employing
supplementing range
of
the
The
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up
could
pressures the
in
high
shear
from a s e r i e s
at
a known r a t e
Ύ]
and T2.
of of
was
rate
be used
r a n g e 0-50
shear
viscometer
high
also
the
rate from
shear
10
to
2
viscosity
and at
lower
known
p r o c e d u r e was
this
10
input
for
It
ranges
involved,
the
showed a l i n e a r
temperature obtained
capillaries, shear
rates
viscometer two
reduced up
to
are
is
rate
a very
unexpected
this s""
10^
included for show
thinning.
a shear
there
in χ
2
In of
shows
way t o 1
data for
conditions
comparison.
the
At
the
RRIM v i s c o m e t e r
approximately 3 χ
sharp
rise
in
10^
boundary l a y e r
the
of
but
investigation
a
limited
dependence mean blend,
different
25°C.
Data
for
Ferranti-Shirley
apparent v i s c o s i t y .
further
at
shear
but
rates
show
behaviour
s~^,
the
a polyol
lower
this
over
and w i t h
a temperature
obtained with
temperatures
temperature that
r e a s o n a b l e agreement and b o t h
and r e q u i r e s
associated with
8
temperature
built
obtained
reducing data to
assumed t h a t ,
correspondended to Figure
different
instruments
shear to
+ T^)/!.
(Tj
under
By
were
each
and output
temperature. viscosity
by
operating
viscometer
reference
t h a t the measured v a l u e
way t h e
data points,
single and
rates
s~^.
6
the
adopoted was
shear
from a compressor.
data in
data obtained in
individual
A simple
at psi
is
beyond This is
the
evidence
of
maintained this
point
rise
is
thought
to
quite be
effects.
Acknowledgments Financial
support
by
the
Science
and E n g i n e e r i n g
We a l s o
thank
some o f
the
Turner
Imperial
polyols
Brothers
Polymer
Engineering
Research Council Chemical
Industries,
used and P i l k i n g t o n s
Asbestos
Ltd.,
is
for
Directorate gratefully
the
Organics Division
Fibre
supplies
of
acknowledge.
of
Glass glass
Division fibre.
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.
for and
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.
Figure 8. V i s c o s i t y (η) versus shear rate (γ) for PB521 at 25 °C. , RRIM viscometer; data corrected to 25 °C as described i n text. , cone and plate viscometer data. See (1^) for speci f i c a t i o n of polyol blend PB521.
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η
s
I
I ?
Î
!
>
C/3
ΙΑ
ο
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110
REACTION INJECTION M O L D I N G
Literature Cited 1. Barksby, N.J.; Dunn, D.: Kaye, Α.; Stanford, J . L . . ; Stepto, R.F.T., preceding paper. 2. Milewski, J.V. Reinforced Plastics/Composites Institute Soc. Plastics Ind., Inc., Proc. 28th Annual Tech.Conf. 1973, Section 31, pp 1-8. 3. Isham, A.B., Reinforced Plastics/Composites Institute, Soc. Plastics Ind., Inc., Proc. 33rd Annual Tech. Conf. 1978, 14-A. 4. Tucker, C.L.; Suh, N.P. Polymer Engg. and Sci. 1980, 20, 887. 5. Mooney, M.J. J . Colloid Sci. 1951, 6, 162. 6. Krieger, I.M.; Dougherty, T.J. Trans.Soc.Rheol. 1959, 3, 137. 7. Jakobsen, J.; Winer, W.O. Trans.Amer.Soc.Mech.Eng., Series F, J. Lubrication Technol. 1975, 97, 472. RECEIVED
April
16, 1984
Kresta; Reaction Injection Molding ACS Symposium Series; American Chemical Society: Washington, DC, 1985.