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Shock tube flows past partially opened diaphragms

Published online by Cambridge University Press:  25 April 2008

PAOLO GAETANI ,
ALBERTO GUARDONE  and
GIACOMO PERSICO
PAOLO GAETANI
Affiliation:
Dipartimento di Energetica, Politecnico di Milano, Via La Masa 34, 20156 Milano, Italy
ALBERTO GUARDONE
Affiliation:
Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Via La Masa 34, 20156 Milano, Italy
GIACOMO PERSICO
Affiliation:
Dipartimento di Energetica, Politecnico di Milano, Via La Masa 34, 20156 Milano, Italy
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Abstract

Unsteady compressible flows resulting from the incomplete burst of the shock tube diaphragm are investigated both experimentally and numerically for different initial pressure ratios and opening diameters. The intensity of the shock wave is found to be lower than that corresponding to a complete opening. A heuristic relation is proposed to compute the shock strength as a function of the relative area of the open portion of the diaphragm. Strong pressure oscillations past the shock front are also observed. These multi-dimensional disturbances are generated when the initially normal shock wave diffracts from the diaphragm edges and reflects on the shock tube walls, resulting in a complex unsteady flow field behind the leading shock wave. The limiting local frequency of the pressure oscillations is found to be very close to the ratio of acoustic wave speed in the perturbed region to the shock tube diameter. The power associated with these pressure oscillations decreases with increasing distance from the diaphragm since the diffracted and reflected shocks partially coalesce into a single normal shock front. A simple analytical model is devised to explain the reduction of the local frequency of the disturbances as the distance from the leading shock increases.

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 602 , 10 May 2008 , pp. 267 - 286
Copyright
Copyright © Cambridge University Press 2008

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References

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