In this paper, the magnetic effects on the Newtonian squeeze film between two circular parallel plates, containing a single central air bubble of cylindrical shape are theoretically investigated. A uniform magnetic field is applied perpendicular to the circular plates, which are in sinusoidal relative motion, and fluid film inertia effects are included in the analysis. Assuming an ideal gas under isothermal condition for an air bubble, a nonlinear differential equation for the bubble radius is obtained by approximating the momentum equation governing the magnetohydrodynamic squeeze film by the mean value averaged across the film thickness. Approximate analytical solutions for the air bubble radius, pressure distribution, and squeeze film force are determined by a perturbation method for small amplitude of sinusoidal motion and are compared with the numerical solution obtained by solving the nonlinear differential equation. The combined effects of air bubble, fluid film inertia, and magnetic field on the squeeze film force are analyzed.

1.
Haber
S.
, and
Etsion
I.
,
1985
, “
Analysis of an Oscillatory Oil Squeeze Film Containing a Central Gas Bubble
,”
ASLE Trans
, Vol.
23
, No.
2
, pp.
253
260
.
2.
Hamza
E. A.
,
1989
, “
A Similar Flow Between Two Disks in the Presence of a Magnetic Field
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
56
, pp.
218
221
.
3.
Hamza
E. A.
,
1988
, “
The Magnetohydrodynamic Squeeze Film
,”
ASME Journal of Tribology
, Vol.
110
, No.
2
, pp.
375
377
.
4.
Hashimoto
H.
,
1995
, “
Squeeze Film Characteristics Between Parallel Circular Plates Containing a Single Central Air Bubble in the Inertial Flow Regime
,”
ASME Journal of Tribology
, Vol.
117
, pp.
513
518
.
5.
Hughes
W. F.
, and
Elco
R. A.
,
1962
, “
Magnetohydrodynamic Lubrication Flow Between Parallel Rotating Disks
,”
J. Fluid Mech.
, Vol.
13
, pp.
21
32
.
6.
Kamiyama
S.
,
1969
, “
Inertia Effects in MHD Hydrostatic Thrust Bearing
,”
ASME Journal of Lubrication Technology
, Vol.
91
, pp.
589
596
.
7.
Kuzma
D. C.
,
Maki
E. R.
, and
Donnelley
R. J.
,
1964
, “
The Magnetohydrodynamic Squeeze Film
,”
J. Fluid Mech.
, Vol.
19
, pp.
395
400
.
8.
Saki
K.
,
Hirano
F.
,
Sakai
T.
, and
Shimogawa
T.
,
1975
a, “
The Behaviour of Oil Film Between the Static and the Vibrating Plate (lst Report)
,”
J. JSLE
, Vol.
20
, No.
8
, pp.
582
592
.
9.
Saki
K.
,
Hirano
F.
, and
Sakai
T.
,
1975
b, “
The Behaviour of Oil Film Between the Static and the Vibrating Plate (2nd Report)
,”
J. JSLE
, Vol.
20
, No.
8
, pp.
560
566
.
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