Abstract
All the existing models of thin film gas lubrication developed for designing head sliders of hard disk drives are chronologically reviewed so as to show how each model was improved and finally generalized to treat gas lubrication flows for arbitrary Knudsen numbers. Each model is compared with the others using specific examples for benchmarking purposes. A possible approach to the modeling of head-disk interface is also proposed for further consideration that has the potential of addressing one of the extreme operations in which the reader/writer element of the head slider surfs through the lubricant on the disk.
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References
B. Liu et al., Air-bearing design towards highly stable head-disk interface at ultra-low flying height. IEEE Trans. Magn. 43(2), 715–720 (2007)
S. Fukui, R. Kaneko, Analysis of ultra-thin gas film lubrication based on linearized Boltzmann equation: first report—derivation of a generalized lubrication equation including thermal creep flow. Trans. ASME J. Tribol. 110, 253–262 (1988)
S. Fukui, R. Kaneko, in Molecular Gas Film Lubrication (MGL), ed. by B. Bushan. Handbook of Micro/Nanotribology, (CRC Press, Boca Raton, 1995) pp. 559–604
A. Burgdorfer, The influence of the molecular mean free path on the performance of hydrodynamic gas lubricated bearings. Trans. ASME J. Basic Eng. 81, 94–100 (1959)
Y.H. Hsia, G.A. Domoto, An experimental investigation of molecular rarefaction effects in gas lubricated bearings at ultra-low clearances. Trans. ASME J. Lubr. Technol. 105, 120–130 (1983)
C. Cercignani, Rarefied Gas Dynamics—From Basic Concepts to Actual Calculations (Cambridge University Press, Cambridge, 2000)
P.L. Bhatnagar, E.P. Gross, M. Krook, A model for collision processes in gases. Phys. Rev. 94, 511–525 (1954)
M. Abramowitz, I.A. Stegan, in Handbook of Mathematical Functions (Dover, New York, 1968)
C. Cercignani, A. Daneri, Flow of a rarefied gas between two parallel plates. J. Appl. Phys. 34(12), 3509–3513 (1963)
D.R. Willis, Comparison of kinetic theory analyses of linearized Couette flow. Phys. Fluids 5(2), 127–135 (1962)
S. Fukui, R. Kaneko, A database for interpolation of Poiseuille flow rates for high Knudsen number lubrication problem. Trans. ASME J. Tribol. 112, 78–83 (1990)
S. Fukui, R. Kaneko, Experimental investigation of externally pressurized bearings under high Knudsen number conditions. Trans. ASME J. Tribol. 110, 144–147 (1988)
B. Liu et al., Lube-surfing recording and its feasibility exploration. IEEE Trans. Magn. 45(2), 899–904 (2009)
A.C. Eringen, Nonlocal Continuum Field Theories (Springer, New York, 2002)
A.C. Eringen, K. Okada, A lubrication theory for fluids with microstructures. Int. J. Eng. Sci. 33(15), 2297–2308 (1995)
Acknowledgments
I should like to express my appreciation to Prof. Shigehisa Fukui of Tottori University for kindly providing me with useful references and comments.
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Okada, K. (2014). Modeling of Head-Disk Interface for Magnetic Recording. In: Nishii, R., et al. A Mathematical Approach to Research Problems of Science and Technology. Mathematics for Industry, vol 5. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55060-0_31
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DOI: https://doi.org/10.1007/978-4-431-55060-0_31
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