Numerical Analysis of Ultra-Thin Gas Film Lubrication

초박막 기체윤활의 수치해석

  • 정찬홍 (대구대학교 화학공학과)
  • Published : 2004.12.01

Abstract

A kinetic theory analysis is used to study the ultra-thin gas flow field in a gas slider bearing. The Boltzmann equation simplified by a collision model is solved by means of a finite difference approximation with the discrete ordinate method. Calculations are made for a flow in a micro-channel between an inclined slider and a moving disk drive platter The results are compared well with those from the DSMC method. The present method does not suffer from statistical noise which is common in particle-based methods and requires much less computational effort.

Keywords

References

  1. Burgdorfer, A, 'The Influence of the Molecular Mean-Free Path on the Performanceof Hydrodynamic Gas Lubricated Bearings,' ASME J. of Basic Eng., Vol. 81, No.3, 1959, pp. 94-100
  2. Hsia, Y. T. and Domoto, G. A., 'An Experimental Investigation of MolecularRarefaction Effects in Fas Lubricated Bearings at Ultra-Low Clearance,' ASME J. ofTribology, Vol. 105, 1983, pp. 120-129
  3. Mitsuya, Y., 'Modified Reynolds Equation for Ultra-Thin Film Gas Lubrication Using1.5-Order Slip Flow Model and Considering Surface Accommodation Coefficient,' ASME J. of Tribology, Vol. 115, 1993, pp. 289-294
  4. Fukui, S. and Kaneko, R., 'Analysis of Ultra-Thin Film Gas Lubrication Based onLinearized Boltzmann Equation, ASME J. of Tribology, Vol. 110, 1988, pp. 253-262
  5. Bhatnagar, P. L., Gross, E. P., and Krook, M., 'A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems,' Physical Review, Vol. 94, No.3, 1954, pp. 511-525
  6. Alexander, F. J., Garcia, A. L., and Alder, B. J., 'Direct Simulation Monte Carlo forThin-Film Bearings,' Phys. Fluids A, Vol. 6, No. 12, 1994, pp. 3854-3860
  7. Huang, W. and Bogy, D. B., 'Three-Dimensional Direct Simulation Monte Carlo Method for Slider Air Bearings, Phys. Fluids A, Vol. 9, No.6, 1997, pp. 1764-1769
  8. Bird, G. A., Molecular Gas Dynamics and The Direct Simulation of Gas Flows, Oxford University Press, London, 1994
  9. Oh, C. K., Oran, E. S., and Sinkovits, R. S., 'Computations of High-Speed, High Knudsen Number Micro-Channel Flows,' Journal of Thermophysics and Heat Transfer, Vol. 11, No.4, 1997, pp. 497-505
  10. Chu, C. K., 'Kinetic-Theoretic Description of the Formation of a Shock Wave,' Physics of Fluids, Vol. 8, No.1, 1965, pp. 12-22
  11. Shizgal, B., 'A Gaussian Quadrature Procedure for Use in the Solution of theBoltzmann Equation and Related Problems,' J. of Computational Physics, Vol. 41, No.2, 1981, pp. 309-327
  12. Atassi, H. and Shen, S. F., 'A Unified Kinetic Theory Approach to External RarefiedGas Flows. Part 1. Derivation of Hydrodynamic Equations,' J. of Fluid Mechanics, Vol. 53, Part 3, 1972, pp. 417-431
  13. Chung, C. H., De Witt, K. J., Stubbs, R. M., and Penko, P. F., 'Simulation of Overexpanded Low-Density Nozzle Plume Flow,' AIAA J., Vol. 33, No.9, 1995, pp. 1646-1650