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TECHNICAL NOTES

Thermal Conduction and Viscous Heating in Microscale Couette Flows

[+] Author and Article Information
Y. Sungtaek Ju

IBM Research, Austin, TX 78758 e-mail: just@stanfordalumni.org

J. Heat Transfer 122(4), 817-818 (May 17, 2000) (2 pages) doi:10.1115/1.1315595 History: Received February 18, 2000; Revised May 17, 2000
Copyright © 2000 by ASME
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References

Tian,  H., Cheung,  C.-Y., and Wang,  P.-K., 1997, “Non-Contact Induced Thermal Disturbance of MR Head Signals,” IEEE Trans. Magn., 33, pp. 3130–3132.
Zhang,  S., and Bogy,  D. B., 1999, “A Heat Transfer Model for Thermal Fluctuations in a Thin Slider/Disk Air Bearing,” Int. J. Heat Mass Transf., 42, pp. 1791–1800.
Bird, G. A., 1994, Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Oxford University Press, Oxford.
Dietrich,  S., and Boyd,  I. D., 1996, “Scalar and Parallel Optimized Implementation of the Direct Simulation Monte Carlo Method,” J. Comput. Phys., 126, pp. 328–342.
Alexander,  F. J., Garcia,  A. L., and Alder,  B. J., 1994, “Direct Simulation Monte Carlo for Thin-Film Bearings,” Phys. Fluids, 6, pp. 3854–3860.
Schaaf, S. A., and Chambré, P. L., 1961, Flow of Rarefied Gases, Princeton University Press, Princeton, NJ.
Lees, L., 1959, “A Kinetic Theory Description of Rarefied Gas Flows,” GALCIT Hypersonic Research Project, Memo No. 51.
Vincenti, W. G., and Kruger, C. H., 1965, Introduction to Physical Gas Dynamics, Krieger, Melbourne, FL.

Figures

Grahic Jump Location
Thermal conductance associated with Couette flows as a function of the Knudsen number. The conductance is normalized by the continuum value k /d.
Grahic Jump Location
Comparison between the viscous heating rates obtained from the direct simulation Monte Carlo simulation and from the analytic solutions. The continuum solutions incorporating the slip boundary conditions give qvisc/2=μV2d/2(d+2λ)2, where μ is the viscosity of air.

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