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Echoing in a viscous compressible fluid confined between two parallel plane walls

Published online by Cambridge University Press:  01 July 2010

B. U. FELDERHOF
B. U. FELDERHOF*
Affiliation:
Institut für Theoretische Physik A, RWTH Aachen, Templergraben 55, 52056 Aachen, Germany
*
†Email address for correspondence: ufelder@physik.rwth-aachen.de
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Abstract

The dynamics of a viscous compressible fluid, confined between two parallel plane walls and excited by a sudden impulse transverse to the walls, is studied on the basis of the linearized Navier–Stokes equations. It is shown that the time-dependent flow depends strongly on the sound velocity and on the shear and volume viscosity. Under favourable conditions an echoing effect can be observed, with a sound pulse bouncing many times between the two plates. The velocity correlation function of a Brownian particle immersed in the fluid is calculated in point approximation. It shows a similar strong dependence on fluid properties.

JFM classification

Waves/Free-surface Flows: Channel flow Low-Reynolds-number flows: Low-Reynolds-number flows Micro-/Nano-fluid dynamics: Micro-/Nano-fluid dynamics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 656 , 10 August 2010 , pp. 223 - 230
Copyright
Copyright © Cambridge University Press 2010

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References

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