Pressure measurements in flows of highly viscous and elastic fluids are of practical importance in polymer processing and rheology systems. Special problems arise during such pressure measurements. High fluid viscosity results in excessive dynamic response time (rise time) of the pressure measuring systems. This is true for systems that consist of manometers as well as pressure transducers attached to the base of a small hole at the wall. We model the dynamic response and examine related disturbing effects. These systematic errors in pressure measurements include hole-pressure effects, instabilities in cavity flow, and the time lag of the disturbance wave. We consider static and dynamic flow systems of a polymer solution (PIB/C14/PB Boger fluid) to study these problems and show that instantaneous pressure measurements in these systems can effectively be performed. [S0098-2202(00)02703-6]

1.
Yesilata
,
B.
,
O¨ztekin
,
A.
, and
Neti
,
S.
,
1999
, “
Instabilities in Viscoelastic Flow through an Axisymmetric Sudden Contraction
,”
J. Non-Newtonian Fluid Mech.
,
85
, p.
35
35
.
2.
Yesilata
,
B.
,
O¨ztekin
,
A.
, and
Neti
,
S.
,
2000
, “
Nonisothermal Viscoelastic Flow through an Axisymmetric Sudden Contraction
,”
J. Non-Newtonian Fluid Mech.
,
89
, p.
133
133
.
3.
Kim
,
J.
,
O¨ztekin
,
A.
, and
Neti
,
S.
,
2000
, “
Instabilities in Viscoelastic Flow Past a Cavity
,”
J. Non-Newtonian Fluid Mech.
,
90
, p.
261
261
.
4.
Bird, R. B., Armstrong, R. C., and Hassager, O., 1987, Dynamics of Polymeric Liquids, Volume 1: Fluid Mechanics, 2nd ed. Wiley Interscience, New York.
5.
Walters, K., 1975, Rheometry, Chapman and Hall, London.
6.
Hatzikiriakos
,
G. H.
, and
Dealy
,
J. M.
,
1994
, “
Start-Up Pressure Transients in a Capillary Rheometer
,”
Polym. Eng. Sci.
,
34
, p.
493
493
.
7.
Dealy
,
J. M.
,
1995
, “
On the Significance of Pressure Relaxations in Capillary or Slit Flow
,”
Rheol. Acta
,
34
, p.
115
115
.
8.
Tanner
,
R.
, and
Pipkin
,
A.
,
1969
, “
Intrinsic Errors in Pressure-Hole Measurements
,”
Trans. Soc. Rheol.
,
14
, p.
471
471
.
9.
Macosco, C. W., 1994, Rheology: Principles, Measurements and Applications, VCH Publishers, New York.
10.
Lodge
,
A. S.
, and
De Vargas
,
L.
,
1983
, “
Positive Hole-Pressures and Negative Exit Pressure Generated by Molten Low-Density Polyethlene Flowing through a Slit Die
,”
Rheol. Acta
,
22
, p.
151
151
.
11.
Broadbent
,
J. M.
,
Kay
,
A.
,
Lodge
,
A. S.
, and
Vale
,
D. G.
,
1968
, “
Possible Systematic Error in the Measurement of Normal Stress Differences in Polymer Solutions in Steady Shear Flow
,”
Nature (London)
,
217
, p.
55
55
.
12.
Joseph, D. D., 1990, Fluid Dynamics of Viscoelastic Liquids, Springer-Verlag, Berlin.
13.
Lodge
,
A. S.
,
1985
, “
Low-Shear-Rate Rheometry and Polymer Quality Control
,”
Chem. Eng. Commun.
,
32
, p.
1
1
.
14.
Lodge
,
A. S.
,
1989
, “
An Attempt To Measure the First Normal-Stress Difference N1 in Shear Flow for a Polyisobutylene/Decalin Solution at High Shear Rates
,”
J. Rheol.
,
33
, p.
821
821
.
15.
Pakdel
,
P.
, and
McKinley
,
G. H.
,
1998
, “
Cavity Flows of Elastic Liquids: Purely Elastic Instabilities
,”
Phys. Fluids
,
10
, p.
1058
1058
.
16.
Kazakia
,
J. Y.
, and
Rivlin
,
R. S.
,
1981
, “
Run-Up and Spin-Up in a Viscoelastic Fluid
,”
Rheol. Acta
,
20
, p.
111
111
.
17.
Yoo
,
Y. L.
, and
Joseph
,
D. D.
,
1985
, “
Hyperbolicity and Change of Type in the Flow of Viscoelastic Fluids through Channels
,”
J. Non-Newtonian Fluid Mech.
,
19
, p.
15
15
.
18.
Shiang
,
A. H.
,
Lin
,
J. C.
,
O¨ztekin
,
A.
, and
Rockwell
,
D.
,
1997
, “
Viscoelastic Flow Around a Confined Cylinder: Measurements Using High-Image-Density Particle Image Velocimetry
,”
J. Non-Newtonian Fluid Mech.
,
73
, p.
29
29
.
19.
Higastani
,
K.
, and
Pritchard
,
W. G.
,
1972
, “
A Kinematic Calculation of Intrinsic Errors in Pressure Measurements Made with Holes
,”
Trans. Soc. Rheol.
,
16
, p.
687
687
.
20.
Pritchard
,
W. G.
,
1970
, “
The Measurements of Normal Stresses by Means of Liquid-filled Holes in a Surface
,”
Rheol. Acta
,
9
, p.
200
200
.
21.
Malkus
,
D. S.
,
Pritchard
,
W. G.
, and
Yao
,
M.
,
1992
, “
The Hole-Pressure Effect and Viscometry
,”
Rheol. Acta
,
31
, p.
521
521
.
22.
Lodge
,
A. S.
,
Pritchard
,
W. G.
, and
Scott
,
L. R.
,
1991
, “
The Hole-Pressure Problem
,”
IMA J. Appl. Math.
,
46
, p.
39
39
.
23.
Townsend
,
P.
,
1980
, “
A Computer Model of Hole-pressure Measurement in Poiseuille Flow of Visco-elastic Liquids
,”
Rheol. Acta
,
19
, p.
1
1
.
24.
Johnson
,
M. W.
, and
Segalman
,
D.
,
1977
, “
A Model for Viscoelastic Behavior Which Allows Non-Affine Deformation
,”
J. Non-Newtonian Fluid Mech.
,
2
, p.
255
255
.
25.
Cochrane
,
T.
,
Walters
,
K.
, and
Webster
,
M. F.
,
1981
, “
On Newtonian and Non-Newtonian Flow in Complex Geometries
,”
Philos. Trans. R. Soc. London, Ser. A
,
301
, p.
163
163
.
26.
Hu
,
H. H.
,
Riccius
,
O.
,
Chen
,
K. P.
,
Arney
,
M.
, and
Joseph
,
D. D.
,
1990
, “
Climbing Constant, Second Order Correction of Trouton’s Viscosity, Wave Speed and Delayed Die Swell for M1
,”
J. Non-Newtonian Fluid Mech.
,
35
, p.
287
287
.
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