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 . The result implies as expected that transverse roughness acts to increase the load capacity of the bearing at low , which is confirmed by previous numerical experiments. In addition, roughness can induce reversed flow at much smaller displacements than for smooth bearings.

**[1]**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)**[2]**R. C. DiPrima and J. T. Stuart,*Flow between eccentric rotating cylinders*, J. Lubr. Tech. (Trans. ASME), July 1972, pp. 266-274**[3]**K. Ma and D. W. Pravica,*Separation of streamlines for spatially periodic flow at non-zero Reynolds numbers*, ZAMP**43**, 1072-1089 (1992)**[4]**J. M. Ottino,*The kinematics of mixing: Stretching, chaos and transport*, Cambridge University Press, Cambridge, 1989**[5]**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**[6]**K. B. Ranger,*Separation of streamlines for spatially periodic flow at zero Reynolds numbers*, Quart. Appl. Math.**47**, 367-373 (1989)**[7]**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)**[8]**G. H. Wannier,*A contribution to the hydrodynamics of lubrication*, Quart. Appl. Math.**8**, 1-32 (1950)

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DOI:
https://doi.org/10.1090/qam/1343468

Article copyright:
© Copyright 1995
American Mathematical Society