Application of the pseudospectral method to thermohydrodynamic lubrication

International Journal for Numerical Methods in Fluids

Volumn 23, Issue 11, 1996, Pages 1145-1161

  Schumack, M R ^a  

^a UNIVERSITY OF DETROIT MERCY   (United States)

Author keywords

Pseudospectral method; Spectral method; Thermohydrodynamic lubrication

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; HYDRODYNAMICS; INTERPOLATION; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; POLYNOMIALS; SPECTRUM ANALYSIS; THERMODYNAMICS;

EXPONENTIAL CONVERGENCE; LAGRANGIAN INTERPOLANTS; LEGENDRE BASIS; PSEUDOSPECTRAL METHOD; THERMOHYDRODYNAMIC LUBRICATION;

LUBRICATION;

ANALYSIS-MATHEMATICAL; BEARINGS-SLIDING; LUBRICATION-THERMOHYDRODYNAMIC;

EID: 0030467042     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0363(19961215)23:11<1145::aid-fld459>3.0.co;2-v     Document Type: Article

References (23)

1. H. A. Ezzat and S. M. Rohde, 'A study of the thermohydrodynamic performance of finite slider bearings', J. Lubr. Technol., July, 298-307 (1973).
2. K. Huebner, 'Application of finite element methods to thermohydrodynamic lubrication', Int. j. numer. methods eng., 8, 139-165 (1974).
3. M. M. Khonsari, 'A review of thermal effects in hydrodynamic bearings. Part I: Slider and thrust bearings', ASLE Trans., 30, 19-25 (1986).
4. J. P. Boyd, Chebyshev and Fourier Spectral Methods, Springer, Berlin, 1989.
5. P.S. Marcus, 'Simulation of Taylor-Couette flow. Part 1. Numerical methods and comparison with experiment', J. Fluid Mech., 146, 45-64 (1984).
6. H. C. Ku, R. S. Hirsch and T. D. Taylor, "A pseudospectral method for solution of the three-dimensional incompressible Navier-Stokes equations', J. Comput. Phys., 70, 439-462 (1987).
7. M. R. Schumack, W. W. Schultz and J. P. Boyd, 'Spectral method solution of the Stokes equations on nonstaggered grids', J. Comput. Phys., 94, 30-58 (1991).
8. C. L. Streett, 'Spectral methods and their implementation to solution of aerodynamic and fluid mechanic problems', Int. j. numer. methods fluids, 7, 1159-1189 (1987).
9. A. Z. Szeri, 'Some extensions of the lubrication theory of Osborne Reynolds', J. Tribol., 109, 21-36 (1987).
10. O. Pinkus, Thermal Aspects of Fluid Film Tribology, ASME, New York, 1990.
11. D. Dowson, 'A generalized Reynolds equation for fluid-film lubrication', Int. J. Mech. Sci., 4, 159-170 (1962).
12. C. Rajalingham, B. S. Prabhu, R. B. Bhat and G. D. Xistris, 'Influence of thermal conduction across the fluid film on the THD characteristics of a plain journal bearing', J. Tribol., 116, 397-399 (1994).
13. E. J. Hahn and C. F. Kettleborough, 'Solution for the pressure and temperature in an infinite slider bearing of arbitrary profile', J. Lubr. Technol., October, 445-452 (1967).
14. N. Wang and A. A. Seireg, 'Thermohydrodynamic lubrication analysis incorporating thermal expansion across the film', J. Tribol., 116, 681-689 (1994).
15. R. Boncompaign, M. Fillon and J. Frene, 'Analysis of thermal effects in hydrodynamic bearings', J. Tribol., 108, 219-224 (1986).
16. E. M. Ronquist, Optimal spectral element methods for the unsteady three-dimensional incompressible Navier-Stokes equations', Ph.D. Thesis, Massachusetts Institute of Technology, 1988 (unpublished).
17. M. R. Schumack, 'A spectral domain decomposition method with applications to flows between cylinders', Ph.D. Thesis, University of Michigan, 1991 (unpublished).
18. C. Canuto, M. Y. Hussaini, A. Quarteroni and T. A. Zang, Spectral Methods in Fluid Dynamics, Springer, New York, 1988.
19. O. Pinkus and B. Sternlicht, Theory of Hydrodynamic Lubrication, McGraw-Hill, New York, 1961.
20. O. C. Zienkiewicz, 'Temperature distribution within lubricating films between parallel bearing surfaces and its effect on the pressures developed', Proc. Conf. on Lubrication and Wear, Institution of Mechanical Engineers, London, 1957, Paper 81.
21. W. B. Hunter and O. C. Zienkiewicz, 'Effect of temperature variations across the lubricant films in the theory of hydrodynamic lubrication', J. Mech. Eng. Sci., 2 (1), 52-58 (1960).
22. C. M. Rodkiewicz, J. C. Hinds and C. Dayson, 'The thermally boosted oil lubricated sliding thrust bearing', J. Lubr. Technol., July, 322-328 (1974).
23. A. Szeri and D. Powers, 'Pivoted plane pad bearings: a variational solution', J. Lubr Technol., July, 466-472 (1970).