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Transient flow of a viscous compressible fluid in a circular tube after a sudden point impulse transverse to the axis

Published online by Cambridge University Press:  13 April 2010

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

The flow of a viscous compressible fluid in a circular tube generated by a sudden impulse at a point on the axis and directed transverse to the axis is studied on the basis of the linearized Navier–Stokes equations. A no-slip boundary condition is assumed to hold on the wall of the tube. The flow behaviour differs qualitatively from that for a point impulse in the direction of the axis in that there is no coupling to a diffusive sound mode. As a consequence, the transverse velocity autocorrelation function of a suspended Brownian particle decays at long times faster than t−3/2.

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 649 , 25 April 2010 , pp. 329 - 340
Copyright
Copyright © Cambridge University Press 2010

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References

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