Flow in the exit of open pipes during acoustic resonance

J.H.M. Disselhorst, L. van Wijngaarden

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Abstract

The flow near the mouth of an open tube is examined, experimentally and theoretically, under conditions in which resonant acoustic waves are excited in the tube at the other end. If the edge of the tube is round, separation does not occur at high Strouhal numbers, which enables us to verify theoretical predictions for dissipation in the boundary layer and for acoustic radiation. Observation with the aid of schlieren pictures shows that in the case of a sharp edge vortices are formed during inflow. The vortices are shed from the pipe during outflow. Based on these observations a mathematical model is developed for the generation and shedding of vorticity. The main result of the analysis is a boundary condition for the pressure in the wave, to be applied near the mouth. The pressure amplitudes in the acoustic wave measured under resonance are compared with theoretical predictions made with the aid of the boundary condition obtained in the paper.
Original languageEnglish
Pages (from-to)293-319
JournalJournal of fluid mechanics
Volume99
DOIs
Publication statusPublished - 1980

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acoustic resonance
Vortex flow
mouth
Acoustics
Pipe
Acoustic waves
Boundary conditions
tubes
Strouhal number
Vorticity
vortices
boundary conditions
Boundary layers
acoustics
Mathematical models
predictions
sound waves
Radiation
vorticity
boundary layers

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Disselhorst, J.H.M. ; van Wijngaarden, L. / Flow in the exit of open pipes during acoustic resonance. In: Journal of fluid mechanics. 1980 ; Vol. 99. pp. 293-319.
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Flow in the exit of open pipes during acoustic resonance. / Disselhorst, J.H.M.; van Wijngaarden, L.

In: Journal of fluid mechanics, Vol. 99, 1980, p. 293-319.

Research output: Contribution to journalArticleAcademic

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T1 - Flow in the exit of open pipes during acoustic resonance

AU - Disselhorst, J.H.M.

AU - van Wijngaarden, L.

PY - 1980

Y1 - 1980

N2 - The flow near the mouth of an open tube is examined, experimentally and theoretically, under conditions in which resonant acoustic waves are excited in the tube at the other end. If the edge of the tube is round, separation does not occur at high Strouhal numbers, which enables us to verify theoretical predictions for dissipation in the boundary layer and for acoustic radiation. Observation with the aid of schlieren pictures shows that in the case of a sharp edge vortices are formed during inflow. The vortices are shed from the pipe during outflow. Based on these observations a mathematical model is developed for the generation and shedding of vorticity. The main result of the analysis is a boundary condition for the pressure in the wave, to be applied near the mouth. The pressure amplitudes in the acoustic wave measured under resonance are compared with theoretical predictions made with the aid of the boundary condition obtained in the paper.

AB - The flow near the mouth of an open tube is examined, experimentally and theoretically, under conditions in which resonant acoustic waves are excited in the tube at the other end. If the edge of the tube is round, separation does not occur at high Strouhal numbers, which enables us to verify theoretical predictions for dissipation in the boundary layer and for acoustic radiation. Observation with the aid of schlieren pictures shows that in the case of a sharp edge vortices are formed during inflow. The vortices are shed from the pipe during outflow. Based on these observations a mathematical model is developed for the generation and shedding of vorticity. The main result of the analysis is a boundary condition for the pressure in the wave, to be applied near the mouth. The pressure amplitudes in the acoustic wave measured under resonance are compared with theoretical predictions made with the aid of the boundary condition obtained in the paper.

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