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Improved scaling laws for the shock-induced dispersal of a dense particle curtain

Published online by Cambridge University Press:  08 August 2019

Edward P. DeMauro Open the ORCID record for Edward P. DeMauro [Opens in a new window] ,
Justin L. Wagner Open the ORCID record for Justin L. Wagner [Opens in a new window] ,
Lawrence J. DeChant ,
Steven J. Beresh  and
Aaron M. Turpin
Edward P. DeMauro*
Affiliation:
Rutgers, The State University of New Jersey, Department of Mechanical and Aerospace Engineering, 98 Brett Road, Room D102, Piscataway, NJ 08854, USA
Justin L. Wagner
Affiliation:
Sandia National Laboratories, Engineering Sciences Center, P.O. Box 5800, MS-0825, Albuquerque, NM 87185, USA
Lawrence J. DeChant
Affiliation:
Sandia National Laboratories, Engineering Sciences Center, P.O. Box 5800, MS-0825, Albuquerque, NM 87185, USA
Steven J. Beresh
Affiliation:
Sandia National Laboratories, Engineering Sciences Center, P.O. Box 5800, MS-0825, Albuquerque, NM 87185, USA
Aaron M. Turpin
Affiliation:
North Carolina State University, Department of Mechanical and Aerospace Engineering, Raleigh, NC 27695, USA
*
†Email address for correspondence: edward.demauro@rutgers.edu
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Abstract

Experiments were performed within Sandia National Labs’ Multiphase Shock Tube to measure and quantify the shock-induced dispersal of a shock/dense particle curtain interaction. Following interaction with a planar travelling shock wave, schlieren imaging at 75 kHz was used to track the upstream and downstream edges of the curtain. Data were obtained for two particle diameter ranges ($d_{p}=106{-}125$, $300{-}355~\unicode[STIX]{x03BC}\text{m}$) across Mach numbers ranging from 1.24 to 2.02. Using these data, along with data compiled from the literature, the dispersion of a dense curtain was studied for multiple Mach numbers (1.2–2.6), particle sizes ($100{-}1000~\unicode[STIX]{x03BC}\text{m}$) and volume fractions (9–32 %). Data were non-dimensionalized according to two different scaling methods found within the literature, with time scales defined based on either particle propagation time or pressure ratio across a reflected shock. The data show that spreading of the particle curtain is a function of the volume fraction, with the effectiveness of each time scale based on the proximity of a given curtain’s volume fraction to the dilute mixture regime. It is seen that volume fraction corrections applied to a traditional particle propagation time scale result in the best collapse of the data between the two time scales tested here. In addition, a constant-thickness regime has been identified, which has not been noted within previous literature.

JFM classification

Granular media: Granular media Compressible Flows: Shock waves Multiphase and Particle-laden Flows: Particle/fluid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 876 , 10 October 2019 , pp. 881 - 895
Creative Commons
This is a work of the U.S. Government and is not subject to copyright protection in the United States.
Copyright
© 2019 Cambridge University Press

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