A model for the effect of roughness on the load capacity of journal bearings
Author:
D. W. Pravica
Journal:
Quart. Appl. Math. 53 (1995), 563-573
MSC:
Primary 76D08
DOI:
https://doi.org/10.1090/qam/1343468
MathSciNet review:
MR1343468
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Abstract: The flow generated by a rotating circular cylinder inside a corrugated outer cylinder is considered. The corrugations are small and are used to model roughness. The force on the inner cylinder, as a linear function of displacement, is found. This requires a Stokes expansion to determine a first-order correction in the Reynolds number $R$. The result implies as expected that transverse roughness acts to increase the load capacity of the bearing at low $R$, which is confirmed by previous numerical experiments. In addition, roughness can induce reversed flow at much smaller displacements than for smooth bearings.
B. Y. Ballal and R. S. Rivlin, Flow of a Newtonian fluid between eccentric rotating cylinders: Inertial effects, Arch. Rat. Mech. Anal. 62, 237–294 (1976)
R. C. DiPrima and J. T. Stuart, Flow between eccentric rotating cylinders, J. Lubr. Tech. (Trans. ASME), July 1972, pp. 266–274
K. Ma and D. W. Pravica, Separation of streamlines for spatially periodic flow at non-zero Reynolds numbers, ZAMP 43, 1072–1089 (1992)
J. M. Ottino, The kinematics of mixing: Stretching, chaos and transport, Cambridge University Press, Cambridge, 1989
N. Patir and H. S. Cheng, Application of average flow model to lubrication between rough sliding surfaces, ASME J. Lubr. Tech., Vol. 101, April 1979, pp. 220–230
K. B. Ranger, Separation of streamlines for spatially periodic flow at zero Reynolds numbers, Quart. Appl. Math. 47, 367–373 (1989)
K. B. Ranger, A problem on the slow motion of a viscous fluid between two fixed cylinders, Quart. J. Mech. Appl. Math 14, 411–421 (1961)
G. H. Wannier, A contribution to the hydrodynamics of lubrication, Quart. Appl. Math. 8, 1–32 (1950)
B. Y. Ballal and R. S. Rivlin, Flow of a Newtonian fluid between eccentric rotating cylinders: Inertial effects, Arch. Rat. Mech. Anal. 62, 237–294 (1976)
R. C. DiPrima and J. T. Stuart, Flow between eccentric rotating cylinders, J. Lubr. Tech. (Trans. ASME), July 1972, pp. 266–274
K. Ma and D. W. Pravica, Separation of streamlines for spatially periodic flow at non-zero Reynolds numbers, ZAMP 43, 1072–1089 (1992)
J. M. Ottino, The kinematics of mixing: Stretching, chaos and transport, Cambridge University Press, Cambridge, 1989
N. Patir and H. S. Cheng, Application of average flow model to lubrication between rough sliding surfaces, ASME J. Lubr. Tech., Vol. 101, April 1979, pp. 220–230
K. B. Ranger, Separation of streamlines for spatially periodic flow at zero Reynolds numbers, Quart. Appl. Math. 47, 367–373 (1989)
K. B. Ranger, A problem on the slow motion of a viscous fluid between two fixed cylinders, Quart. J. Mech. Appl. Math 14, 411–421 (1961)
G. H. Wannier, A contribution to the hydrodynamics of lubrication, Quart. Appl. Math. 8, 1–32 (1950)
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Article copyright:
© Copyright 1995
American Mathematical Society
