In this paper, the combined effects of compressibility and fluid inertia in a squeeze film are considered. The governing equations are derived using an integral method for a one-dimensional case, initially considering a combination of Couette and Poiseuille Flows. Numerical and experimental results are obtained for the case of a pure squeeze film between flat circular disks. Influence of the film geometry was examined by considering a cavity on the surface of one of the disks. The numerical solutions are obtained by use of the Crank-Nicholson method with Lax modification. Comparison of the numerical results for pressure in the film with the experimental results show good agreement. The inertia of the fluid is found to significantly influence the pressure waveform in the film by altering the phase of the pressure developed in the film with respect to the oscillating disk. It is shown that these phase changes lead to “resonances” in the mean bearing force. The results also show that the mean bearing force can be superambient or subambient depending on the squeeze number. Both the damping and the bearing force show a “jump” at a critical squeeze number. Damping due to the fluid layer is shown to be amplitude-dependent.

1.
Anderson, D. A., Tannehill, J. C., and Pletcher, R. H., 1984, Computational Fluid Mechanics and Heal Transfer, McGraw-Hill Book Co., New York, pp. 70–77, 143–144.
2.
Blech
J. J.
,
1983
, “
On Isothermal Squeeze Films
,”
J. Lub. Tech.
, Vol.
105
, pp.
615
620
.
3.
Blech
J. J.
,
1985
, “
Annular Compressible Squeeze Films
,”
J. Lub. Tech.
, Vol.
107
, pp.
544
547
.
4.
Constantinescu
V. N.
,
1970
, “
On the Influence of Inertia Force in Turbulent and Laminar Self-Acting Films
,”
J. Lub. Tech.
, Vol.
92
, pp.
473
481
.
5.
Elrod
H. G.
,
Anwar
I.
, and
Colsher
R.
,
1983
, “
Transient Lubricating Films with Inertia
,”
J. Lub. Tech.
, Vol.
105
, pp.
369
374
.
6.
Fox
M. J. H.
, and
Whitton
P. N.
,
1980
, “
The Damping of Structural Vibration by Thin Gas Film
,”
J. Sound and Vib.
, Vol.
73
, pp.
279
295
.
7.
Galetuse
S.
,
1974
, “
Experimental Study of the Interference of Inertia and Friction Forces in Turbulent Lubrication
,”
J. Lub. Tech.
, Vol.
96
, pp.
164
167
.
8.
Grassam, N. S., and Powell, J. W., 1964, Gas Lubricated Bearings, Butterworths, London, pp. 264–265.
9.
Gross, W. A., Matsch, L. A., Castelli, V., Eshel, A., Vohr, J. H., and Wildmann, M., 1980, Fluid Film Lubrication, John Wiley & Sons, New York.
10.
Ingard
K. U.
, and
Akay
A.
,
1987
, “
On the Vibration Damping of a Plate by Means of a Viscous Fluid Layer
,”
ASME JOURNAL OF VIBRATION, ACOUSTICS, STRESS, AND RELIABILITY IN DESIGN
, Vol.
109
, pp.
178
109
.
11.
Kuhn
E. C.
, and
Yates
C. C.
,
1964
, “
Fluid Inertia Effect on the Film Pressure Between Axially Oscillating Parallel Circular Plates
,”
ASLE Trans.
, Vol.
7
, pp.
299
303
.
12.
Langlois
W. E.
,
1962
, “
Isothermal Squeeze Films
,”
Quart. Appl. Math.
, Vol.
20
, No.
2
, pp.
131
150
.
13.
Michael
W. A.
,
1963
, “
Approximate Methods for Time-Dependent Gas-Film Lubrication Problems
,”
ASME Journal of Applied Mechanics
, Vol.
30
, pp.
509
517
.
14.
Mourelatos
Z. P.
,
1990
, “
Hydrodynamic Analysis of a Slider Gas Bearing Including the Gas Inertia Effect
,”
ASME Journal of Tribology
, Vol.
112
, pp.
662
669
.
15.
Panton, R. L., 1984, Incompressible Fluid Flow, John Wiley & Sons, New York, pp. 570–572.
16.
Salbu
E. O. J.
,
1964
, “
Compressible Squeeze Films and Squeeze Bearing
,”
J. Basic. Eng.
, Vol.
86
, pp.
355
366
.
17.
Terrill
R. M.
,
1969
, “
The Flow Between Two Parallel Circular Disks, One of Which is Subject to a Normal Sinusoidal Oscillation
,”
J. Lub. Tech.
, Vol.
91
, pp.
126
131
.
18.
Tichy
J. A.
, and
Modest
M. F.
,
1978
, “
Squeeze Film Flow Between Arbitrary Two-Dimensional Surface Subject to Normal Oscillation
,”
J. Lub Tech.
, Vol.
100
, pp.
316
322
.
19.
Tichy
J. A.
, and
Winer
W. O.
,
1970
, “
Inertial Considerations in Parallel Circular Squeeze Film Bearings
,”
J. Lub. Tech.
, Vol.
92
, pp.
588
592
.
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