Stiction forces exerted by a fluid in a thin, quickly widening gap to its boundaries can become a strongly limiting factor of the performance of technical devices, like compressor valves or hydraulic on–off valves. In design optimization, such forces need to be properly and efficiently modeled. Cavitation during parts of a stiction process plays a strong role and needs to be taken into account to achieve a meaningful model. The paper presents an approximate calculation method which uses qualitative solution properties of the non cavitating stiction problem, in particular of its level curves and gradient lines. In this method, the formation of the cavitation boundaries is approximated by an elliptic domain. The pressure distribution along its principle axis is described by a directly integrable differential equation, the evolutions of its boundaries is guided just by pressure boundary conditions when the cavitation zone expands and by a nonlinear differential equation when it shrinks. The results of this approximate model agree quite well with the solutions of a finite volume (FV) model for the fluid stiction problem with cavitation.

References

References
1.
Stefan
,
J.
,
1874
, “
Versuche über die scheinbare Adhäsion
,” Sitzungsberichte der Mathematisch-Naturwissenschaftlichen Klasse der Kaiserlichen Akademie der Wissenschaften Wien, pp.
713
735
.
2.
Budgett
,
H. M.
,
1911
, “
The Adherence of Flat Surfaces
,”
Proc. R. Soc. London Ser. A
,
86
(
583
), pp.
25
35
.
3.
Resch
,
M.
, and
Scheidl
,
R.
,
2013
, “
A Model for Fluid Stiction of Quickly Separating Circular Plates
,”
Proc. Inst. Mech. Eng., Part C
,
228
(
9
), pp.
1540
1556
.
4.
Resch
,
M.
,
2011
,
Beiträge zum Verhalten von Newtonschen und magnetorheologischen Flüssigkeiten in engen Quetschspalten (Advances in Mechatronics)
, Vol.
3
,
Austrian Center of Competence in Mechatronics
,
Trauner Verlag, Linz, Austria
.
5.
Roemer
,
D. B.
,
Johansen
,
P.
,
Pedersen
,
H. C.
, and
Andersen
,
T. O.
,
2014
, “
Oil Stiction in Fast Switching Annular Seat Valves for Digital Displacement Fluid Power Machines
,”
ASME
Paper No. ESDA2014-20443.
6.
Roemer
,
D. B.
,
Johansen
,
P.
,
Pedersen
,
H. C.
, and
Andersen
,
T. O.
,
2015
, “
Fluid Stiction Modeling for Quickly Separating Plates Considering the Liquid Tensile Strength
,”
ASME J. Fluids Eng.
,
137
(
6
), p.
061205
.
7.
Scheidl
,
R.
, and
Gradl
,
C.
,
2013
, “
An Oil Stiction Model for Flat Armature Solenoid Switching Valves
,”
ASME
Paper No. FPMC2013-4467.
8.
Stehr
,
H.
,
2001
, “
Oil Stiction–Investigations to Optimize Reliability of Compressor Valves
,”
International Conference on Compressors and Their Systems
, Institution of Mechanical Engineers, City University, London, pp.
477
486
.
9.
Lemoine
,
B.
,
Le Marrec
,
L.
, and
Hirschberg
,
A.
,
2015
, “
Modelling Pressure Cycle and Interaction With Reed Valves in a Reciprocating Compressor
,”
VI International Conference on Computational Methods for Coupled Problems in Science and Engineering–Coupled Problems 2015
, Venice, Italy, pp.
930
938
.
10.
Kallenbach
,
E.
,
Eick
,
R.
,
Quendt
,
P.
,
Ströhla
,
T.
,
Feindt
,
K.
,
Kallenbach
,
M.
, and
Radler
,
O.
,
2012
,
Elektromagnete
,
4th ed.
,
Vieweg+Teubner, Springer Fachverlag
,
Wiesbaden, Germany
.
11.
Foschum
,
P.
,
Plöckinger
,
A.
,
Scheidl
,
R.
,
Weidenholzer
,
G.
, and
Winkler
,
B.
,
2011
, “
Multiobjective Genetic Optimization of Fast Switching Valves
,”
Fourth Workshop on Digital Fluid Power
, Linz, Austria, pp.
116
128
.
12.
Yue
,
Y.
, and
Meerbergen
,
K.
,
2013
, “
Accelerating Optimization of Parametric Linear Systems by Model Order Reduction
,”
SIAM J. Optim.
,
23
(
2
), pp.
1344
1370
.
13.
Malvern
,
L. E.
,
1969
,
Introduction to the Mechanics of Continuous Medium
,
Prentice Hall
,
Englewood Cliffs, NJ
, p.
650
.
14.
Poston
,
T.
, and
Stewart
,
I.
,
1996
,
Catastrophe Theory and Its Applications
,
Dover Publications
,
New York
, p.
54
.
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