General solution of Reynolds equation for a journal bearing of finite width

Author:
L. N. Tao

Journal:
Quart. Appl. Math. **17** (1959), 129-136

MSC:
Primary 76.99

DOI:
https://doi.org/10.1090/qam/134092

MathSciNet review:
134092

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References | Similar Articles | Additional Information

**[1]**O. Reynolds,*"On the theory of lubrication,"*Phil. Trans. Roy. Soc. London, Ser. A,**177**, 157-234 (1886)**[2]**A. G. M. Michell.*"The lubrication of plane surface,"*Z. Math. u. Phys.**52**, 123-137 (1905)**[3]**(a) M. Muskat, F. Morgan and M. W. Meres,*"The lubrication of plane sliders of finite width,"*J. Appl. Phy.**11**, 208-219 (1940); (b) M. Muskat and F. Morgan,*"The theory of the thick film lubrication of a complete journal bearing of finite length,"*J. Appl. Phy.**9**, 393-409 (1938)**[4]**A. Sommerfeld,*"Zur Hydrodynamischen Theorie der Schmiermittel Reibung,"*Z. Math. u. Phys.**50**, 97-153 (1904)**[5]**M. C. Shaw and E. F. Macks,*"Analysis and lubrication of bearings,"*McGraw-Hill Book Co., New York, 1949, p. 242**[6]**M. J. Jacobson, A. Charnes and E. Saibel,*"The complete journal bearing with circumferential oil inlet,"*Trans. ASME**77**, 1179-1183 (1955)**[7]**E. L. Ince,*Ordinary Differential Equations*, Dover Publications, New York, 1944. MR**0010757****[8]**(a) E. T. Whittaker and G. N. Watson,*"A course of modern analysis,"*4th ed., Cambridge Univ. Press, London, 1952, pp. 576-577; (b) A. Erdelyi (Ed.),*"Higher transcendental functions,"*vol.**III**, McGraw-Hill Book Co., New York, 1955, pp. 57-62**[9]**Oskar Perron,*Die Lehre von den Kettenbrüchen*, Chelsea Publishing Co., New York, N. Y., 1950 (German). 2d ed. MR**0037384****[10]**A. Kingsbury,*"On problems on the theory of fluid film lubrication with an experimental method of solution,"*Trans. ASME**53**, 59-75 (1931)

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DOI:
https://doi.org/10.1090/qam/134092

Article copyright:
© Copyright 1959
American Mathematical Society