Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-29T12:47:08.929Z Has data issue: false hasContentIssue false
  • English
  • Français

Some effects of inclination on elastohydrodynamic squeeze film problems

Published online by Cambridge University Press:  11 April 2006

D. Whicker ,
A. L. Browne  and
S. M. Rohde
D. Whicker
Affiliation:
Engineering Mechanics Department, Research Laboratories, General Motors Corporation, Warren, Michigan 48090
A. L. Browne
Affiliation:
Engineering Mechanics Department, Research Laboratories, General Motors Corporation, Warren, Michigan 48090
S. M. Rohde
Affiliation:
Engineering Mechanics Department, Research Laboratories, General Motors Corporation, Warren, Michigan 48090
Get access Rights & Permissions [Opens in a new window]

Abstract

An analysis is presented for the non-inertial descent of an inclined sinkage element (a rectangular prism) through a viscous fluid onto a rigid surface. The effects of sinkage-element deformability, slip velocity and time-dependent loading conditions are considered. Unlike previous analyses no assumptions are made a priori about the form of the pressure distribution during, or the effect of corners on, inclined sinkage. The results for rigid square plates are compared with those of previous analyses and with the limited amount of experimental data available. Results are also presented for a deformable sinkage element, which is used to model the action of an individual tyre tread element on a wet pavement. An inclination function based on available data on the tyre surface shape in the footprint region is used. The loading function for this case is based on measured values of tyre footprint pressure.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 78 , Issue 2 , 23 November 1976 , pp. 247 - 260
Copyright
© 1976 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bathelt, H. 1973 Calculation of the aquaplaning behaviour of smooth and profiled tires. ATZ Int. 75 (10), 12–17.Google Scholar
Browne, A. L. 1975a Tire deformation during dynamic hydroplaning Tire Sci. Tech. 3, 16–28.Google Scholar
Browne, A. L. 1975b Mathematical analysis for pneumatic tire hydroplaning. A.S.T.M. STP-583, 75–94.Google Scholar
Browne, A. L., Whicker, D. & Rohde, S. M. 1975 The significance of tread element flexibility to thin film wet traction Tire Sci. Tech. 3, 215–234.Google Scholar
Christensen, H. 1961 The oil film in a closing gap.Proc. Roy. Soc A 266, 312–328.
Christensen, H. 1970 Elastohydrodynamic theory of spherical bodies in normal approach. Trans. A.S.M.E. F 92, 145–154.
Collatz, L. 1966 Functional Analysis and Numerical Mathematics. Academic.
Dowson, D. & Jones, D. A. 1967–68 An optical-interference method of measurement of time-dependent elastohydrodynamic oil film profiles. Proc. Inst. Mech. Engrs, 182, 3G.Google Scholar
Gaman, I. D. C., Higginson, G. R. & Norman, R. 1974 Fluid entrapment by a soft surface layer Wear, 28, 345–352.Google Scholar
Hays, D. F. 1962 Squeeze films for rectangular plates. A.S.M.E. Paper, no. 62-LubS-9.Google Scholar
Herrebrugh, K. 1970 Elastohydrodynamic squeeze films between two cylinders in normal approach. Trans. A.S.M.E. F 92, 292–302.
Kienle, R. N. 1974 In The Physics of Tire Traction: Theory and Experiment (ed. D. F. Hays & A. L. Browne), pp. 241–255. Plenum.
Lee, K. M. & Cheng, H. S. 1973 The pressure and deformation profiles between two normally approaching lubricated cylinders. Trans. A.S.M.E. F 95, 308–320.Google Scholar
Lippmann, S. A. & Oblizajek, K. L. 1974 The distributions of stress between the tread and the road for freely rolling tires. S.A.E. Paper, no. 740072.Google Scholar
Moore, D. F. 1964 On the inclined non-inertial sinkage of a flat plate J. Fluid Mech. 20, 321–330.Google Scholar
Roberts, A. D. 1974 In The Physics of Tire Traction: Theory and Experiment (ed. D. F. Hays & A. L. Browne), pp. 179–194. Plenum.
Rohde, S. M. 1976 On the effect of pavement microtexture on thin film wet traction Int. J. Mech. Sci. 18, 95–101.Google Scholar
Rohde, S. M., Whicker, D. & Browne, A. L. 1976 Dynamic analysis of elastohydrodynamic squeeze films. Trans. A.S.M.E. F 98, 401–408.Google Scholar
Sinnamon, J. F. & Tielking, J. T. 1974 Hydroplaning and tread pattern hydrodynamics. Univ. Michigan, Highway Safety Res. Inst. Rep. no. UM-HSRI-PF-74–10.Google Scholar