This paper proposes a new Starling resistor architecture to control flow limitation in flexible tubes by introducing a needle valve to restrict inlet flow. The new architecture is able to separately control the activation pressure and the flow rate: The tube geometry determines the activation pressure and the needle valve determines the flow rate. A series of experiments were performed to quantify the needle valve and the tube geometry's effect on flow limitation. The examined factors include the inner diameter, the length, and the wall thickness. A lumped-parameter model was developed to capture the magnitude and trend of the flow limitation, which was able to satisfactorily predict Starling resistor behavior observed in our experiments.

References

References
1.
Patterson
,
S. W.
, and
Starling
,
E. H.
,
1914
, “
On the Mechanical Factors Which Determine the Output of the Ventricles
,”
J. Physiol.
,
48
(
5
), pp.
357
379
.
2.
Zimoch
,
P. J.
,
Tixier
,
E.
,
Joshi
,
A.
,
Hosoi
,
A. E.
, and
Winter
,
A. G.
,
2013
, “
Bio-Inspired, Low-Cost, Self-Regulating Valves for Drip Irrigation in Developing Countries
,”
ASME
Paper No. DETC2013-12495.
3.
Bertram
,
C. D.
,
2003
, “
Experimental Studies of Collapsible Tubes
,”
Flow Past Highly Compliant Boundaries and in Collapsible Tubes
,
Springer
,
Dordrecht, Netherlands
, pp.
51
65
.
4.
Grotberg
,
J. B.
, and
Jensen
,
O. E.
,
2004
, “
Biofluid Mechanics in Flexible Tubes
,”
Annu. Rev. Fluid Mech.
,
36
(
1
), pp.
121
147
.
5.
Heil
,
M.
, and
Hazel
,
A. L.
,
2011
, “
Fluid–Structure Interaction in Internal Physiological Flows
,”
Annu. Rev. Fluid Mech.
,
43
(
1
), pp.
141
162
.
6.
Brower
,
R. W.
, and
Noordergraaf
,
A.
,
1973
, “
Pressure-Flow Characteristics of Collapsible Tubes: A Reconciliation of Seemingly Contradictory Results
,”
Ann. Biomed. Eng.
,
1
(
3
), pp.
333
355
.
7.
Gavriely
,
N.
,
Shee
,
T. R.
,
Cugell
,
D. W.
, and
Grotberg
,
J. B.
,
1989
, “
Flutter in Flow-Limited Collapsible Tubes: A Mechanism for Generation of Wheezes
,”
J. Appl. Physiol.
,
66
(
5
), pp.
2251
2261
.
8.
Bertram
,
C. D.
, and
Castles
,
R. J.
,
1999
, “
Flow Limitation in Uniform Thick-Walled Collapsible Tubes
,”
J. Fluids Struct.
,
13
(
3
), pp.
399
418
.
9.
Bertram
,
C. D.
, and
Elliott
,
N. S. J.
,
2003
, “
Flow-Rate Limitation in a Uniform Thin-Walled Collapsible Tube, With Comparison to a Uniform Thick-Walled Tube and a Tube of Tapering Thickness
,”
J. Fluids Struct.
,
17
(
4
), pp.
541
559
.
10.
Bertram
,
C. D.
, and
Chen
,
W.
,
2000
, “
Aqueous Flow Limitation in a Tapered-Stiffness Collapsible Tube
,”
J. Fluids Struct.
,
14
(
8
), pp.
1195
1214
.
11.
Bertram
,
C. D.
, and
Tscherry
,
J.
,
2006
, “
The Onset of Flow-Rate Limitation and Flow-Induced Oscillations in Collapsible Tubes
,”
J. Fluids Struct.
,
22
(
8
), pp.
1029
1045
.
12.
Low
,
H.
, and
Chew
,
Y.
,
1991
, “
Pressure/Flow Relationships in Collapsible Tubes: Effects of Upstream Pressure Fluctuations
,”
Med. Biol. Eng. Comput.
,
29
(
2
), pp.
217
221
.
13.
Low
,
T. H.
,
Chew
,
Y. T.
,
Winoto
,
S. H.
, and
Chin
,
R.
,
1995
, “
Pressure/Flow Behaviour in Collapsible Tube Subjected to Forced Downstream Pressure Fluctuations
,”
Med. Biol. Eng. Comput.
,
33
(
4
), pp.
545
550
.
14.
Walsh
,
C.
,
Sullivan
,
P. A.
,
Hansen
,
J.
, and
Chen
,
L.-W.
,
2007
, “
Measurement of Wall Deformation and Flow Limitation in a Mechanical Trachea
,”
ASME J. Biomech. Eng.
,
117
(
1
), pp.
146
152
.
15.
Shapiro
,
A. H.
,
1977
, “
Steady Flow in Collapsible Tubes
,”
ASME J. Biomech. Eng.
,
99
(
3
), pp.
126
147
.
16.
Cancelli
,
C.
, and
Pedley
,
J.
,
1985
, “
A Separated-Flow Model for Collapsible-Tube Oscillations
,”
J. Fluid Mech.
,
157
, pp.
375
404
.
17.
Whittaker
,
R. J.
,
Heil
,
M.
,
Jensen
,
O. E.
, and
Waters
,
S. L.
,
2010
, “
Predicting the Onset of High-Frequency Self-Excited Oscillations in Elastic-Walled Tubes
,”
Proc. R. Soc. A
,
466
(
2124
), pp.
3635
3657
.
18.
Heil
,
M.
, and
Waters
,
S. L.
,
2006
, “
Transverse Flows in Rapidly Oscillating Elastic Cylindrical Shells
,”
J. Fluid Mech.
,
547
, pp.
185
214
.
19.
Weaver
,
D. S.
, and
Paidoussis
,
M. P.
,
1977
, “
On Collapse and Flutter Phenomena in Thin Tubes Conveying Fluid
,”
J. Sound Vib.
,
50
(
1
), pp.
117
132
.
20.
Bertram
,
C. D.
,
Raymond
,
C. J.
, and
Pedley
,
T. J.
,
1990
, “
Mapping of Instabilities for Flow Through Collapsed Tubes of Differing Length
,”
J. Fluids Struct.
,
4
(
2
), pp.
125
153
.
21.
Flaherty
,
J. E.
,
Keller
,
J. B.
, and
Rubinow
,
S. I.
,
1972
, “
Post Buckling Behavior of Elastic Tubes and Rings With Opposite Sides in Contact
,”
SIAM J. Appl. Math.
,
23
(
4
), pp.
446
455
.
22.
Hadzismajlovic
,
D. E.
, and
Bertram
,
C. D.
,
1996
, “
Collapsible-Tube Pulsation Generator for Crossflow Microfiltration: Fatigue Testing of Silicone-Rubber Tubes
,”
J. Appl. Polym. Sci.
,
61
(
4
), pp.
703
713
.
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