The direct simulation Monte Carlo (DSMC) method is used to investigate heat conduction and viscous heating in microscale Couette flows. When augmented by the slip boundary conditions, the continuum equations are found to predict thermal conductance accurately even in the transition and ballistic flow regime for Couette flows. The viscous heat generation rate, in contrast, is significantly underpredicted by the slip flow theory. We propose an alternative approach based on kinetic theory and present a compact analytic expression for the viscous dissipation rate. [S0022-1481(00)00104-3]
Issue Section:
Technical Notes
1.
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
.2.
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
.3.
Bird, G. A., 1994, Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Oxford University Press, Oxford.
4.
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
.5.
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
.6.
Schaaf, S. A., and Chambre´, P. L., 1961, Flow of Rarefied Gases, Princeton University Press, Princeton, NJ.
7.
Lees, L., 1959, “A Kinetic Theory Description of Rarefied Gas Flows,” GALCIT Hypersonic Research Project, Memo No. 51.
8.
Vincenti, W. G., and Kruger, C. H., 1965, Introduction to Physical Gas Dynamics, Krieger, Melbourne, FL.
Copyright © 2000
by ASME
You do not currently have access to this content.