New Continuous Model of Reynolds Equation for Gas Film Lubrication

Abstract:

Started from a widely used FK model of Reynolds equation, a new simplified model, called continuous FK (CFK) model, is proposed to simulate the ultra-thin air bearing film in hard disk drives (HDDs). The new model of Reynolds equation possesses simpler mathematical form than that of FK model. The new model is solved by using a least square finite difference (LSFD) method and the resultant numerical results are compared with those of FK model. It is found that numerical results of the two models are in very good agreement.

• Periodical: Advanced Materials Research (Volumes 148-149)
• Pages: 519-522
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.148-149.519
• Online since: October 2010
• Authors: Jia Dong Ji, B.J. Shi, Ting Yi Yang, Shi Jun Song
• Keywords: Gas Film Lubrication, Gas Rarefaction Effect, Hard Disk Drivers (HDDs), Least Square Finite Difference (LSFD) Method, Reynolds Equation

References

[1] J. Y. Juang, D.B. Bogy and C.S. Bhatia: IEEE Trans. Magn., vol. 42 (2) (2007), p.241.

[2] B. Liu, S. Yu, M. Zhang, L. Gonzaga, H. Li, J. Liu and Y. Ma: IEEE Trans. Magn., vol. 43(2) (2007), p.715.

[3] B.J. Shi, H.Q. Li, D.W. Shu and Y. M. Zhang: Commun. Numer. Method Engng., vol. 25(10) (2009), p.1041.

[4] B. Bhushan: Tribology and Mechanics of Magnetic Storage Devices (Springer, New York, NY, USA, 1990).

[5] W. A. Gross, L.A. Matsch, V. Castelli, A.J. Eshel, H. Vohr and M. Wildmann: Fluid Film Lubrication (John Wiley & Sons, New York, NY, USA, 1980).

[6] A. Burgdorfer: ASME J. Basic Engineering, vol. 81 (1959), p.94.

[7] Y.T. Hsia, G. A. Domoto: ASME J. Tribol., vol. 105 (1983), p.120.

[8] Y. Mitsuya: ASME J. Tribol., vol. 115 (1993), p.289.

[9] S. Fukui and R. Kaneko: ASME J. Tribol., vol. 110 (1988), p.253.

[10] C. Shu, H. Ding, K.S. Yeo and D. Xu: Computers & Fluids., vol. 33 (2004), p.137.