Power losses in high-speed gears come from the friction between the teeth (sliding and rolling), the lubrication process (dip or jet lubrication), the pumping of a gas-lubricant mixture during the meshing and the losses associated with windage effects. The objective of this paper is to present a number of preliminary experimental and theoretical findings on the prediction of windage losses. Experiments were conducted on a test bench whose principle consists in driving a gear to a given speed and then measuring its deceleration once it has been disconnected from the motor. Results are presented for a disk and 4 different gears with no enclosure and in the absence of lubricant at speeds ranging from 0 to 12, 000 rpm. Two different theoretical approaches have been developed: i) a dimensional analysis based upon the dimensionless groups of terms which account for the flow characteristics (Reynolds number), the gear geometry (tooth number, pitch diameter, face width) and the speed, ii) a quasi-analytical model considering in detail the fluid flow on the gear faces and inside the teeth. It is found that both approaches give good results in comparison with the experimental evidence and two analytical formulas aimed at predicting windage losses in high-speed gears are proposed.

1.
Von Karman
,
T.
,
1921
, “
Uber laminare und turbulente Reibung
,”
Z. Angew. Math. Mech.
,
1
, pp.
244
249
.
2.
Schlichting, H., 1979, Boundary Layer Theory, McGraw-Hill, 7th edition, New-York, 817 p.
3.
Daily
,
J. W.
, and
Nece
,
R. E.
,
1960
, “
Chamber Dimension Effects on Induced Flow and Frictional Resistance of Enclosed Rotating Disks
,”
ASME J. Basic Eng.
,
82
(
1
), pp.
217
232
.
4.
Mann
,
R. W.
, and
Marstan
,
C. H.
,
1961
, “
Friction Drag on Bladed Disks in Housing
,”
ASME J. Basic Eng.
,
83
(
4
), pp.
719
723
.
5.
Boness, R. J., 1989, “Churning Losses of Discs and Gears Running Partially Submerged in Oil,” Proc. ASME Int. Power Trans. Gearing Conf., Chicago, Vol. 1, pp. 355–359.
6.
Itoh
,
M.
, and
Hasegawa
,
I.
,
1994
, “
Turbulent Boundary Layer on a Rotating Disk in Infinite Quiescent Fluid
,”
Proc. JSME, Series B
,
37
(
3
), pp.
449
456
.
7.
Anderson
,
N. E.
, and
Loewenthal
,
S. H.
,
1981
, “
Effect of Geometry and Operating Conditions on Spur Gear System Power Loss
,”
ASME J. Mech. Des.
,
103
, pp.
151
159
.
8.
Dawson
,
P. H.
,
1984
, “
Windage Loss in Larger High-speed Gears
,”
Proc. Inst. Mech. Eng.
,
198A
(
1
), pp.
51
59
.
9.
Chassaing, P., 1997, Me´canique des Fluides, Ce´padue`s Editions, Toulouse, 2nd edition, 450 p.
10.
Hughes, W. F., and Brighton, J. A., 1999, Shaum’s Outline of Theory and Problems of Fluid Dynamics, 3rd edition, New-York, pp. 103–118.
11.
Akin
,
L. S.
,
Mross
,
J. J.
, and
Townsend
,
D. P.
,
1975
, “
Study of Lubricant Jet Flow Phenomena in Spur Gears
,”
ASME J. Lubr. Technol.
,
97
, pp.
289
295
.
You do not currently have access to this content.