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Sound propagation at small scales under continuum and non-continuum transport

Published online by Cambridge University Press:  02 July 2003

N. G. HADJICONSTANTINOU  and
O. SIMEK
N. G. HADJICONSTANTINOU
Affiliation:
Mechanical Engineering Department, Massachusetts Institute of Technology, 77, Massachusetts Avenue, Room 3-364, Cambridge, MA 02139, USA
O. SIMEK
Affiliation:
Mechanical Engineering Department, Massachusetts Institute of Technology, 77, Massachusetts Avenue, Room 3-364, Cambridge, MA 02139, USA
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Abstract

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Using an observation by Lamb, namely that continuum sound wave propagation in sufficiently narrow channels is quasi-steady and isothermal, we obtain analytical predictions for the propagation of sound waves at small scales under non-continuum transport. We also extend Lamb's approach to include the effects of inertia and heat conduction for wave propagation at larger characterisitc scales descibed by continuum transport (no-slip and slip-flow regimes). Our theoretical predictions are compared to molecular-based direct Monte Carlo solutions of the Boltzmann equation. Very good agreement is found between theory and numerical solutions.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 488 , 10 July 2003 , pp. 399 - 408
Copyright
© 2003 Cambridge University Press