## This content will become publicly available on October 10, 2020

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

## Abstract

Here, 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 refelct 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 observed 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.

- Authors:

- Rutgers Univ., Piscataway, NJ (United States)
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- North Carolina State Univ., Raleigh, NC (United States)

- Publication Date:

- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)

- OSTI Identifier:
- 1575276

- Report Number(s):
- SAND-2018-11568J

Journal ID: ISSN 0022-1120; 672096

- Grant/Contract Number:
- AC04-94AL85000; NA0003525

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of Fluid Mechanics

- Additional Journal Information:
- Journal Volume: 876; Journal ID: ISSN 0022-1120

- Publisher:
- Cambridge University Press

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 42 ENGINEERING

### Citation Formats

```
DeMauro, Edward P., Wagner, Justin L., DeChant, Lawrence J., Beresh, Steven J., and Turpin, Aaron M. Improved scaling laws for the shock-induced dispersal of a dense particle curtain. United States: N. p., 2019.
Web. doi:10.1017/jfm.2019.550.
```

```
DeMauro, Edward P., Wagner, Justin L., DeChant, Lawrence J., Beresh, Steven J., & Turpin, Aaron M. Improved scaling laws for the shock-induced dispersal of a dense particle curtain. United States. doi:10.1017/jfm.2019.550.
```

```
DeMauro, Edward P., Wagner, Justin L., DeChant, Lawrence J., Beresh, Steven J., and Turpin, Aaron M. Thu .
"Improved scaling laws for the shock-induced dispersal of a dense particle curtain". United States. doi:10.1017/jfm.2019.550.
```

```
@article{osti_1575276,
```

title = {Improved scaling laws for the shock-induced dispersal of a dense particle curtain},

author = {DeMauro, Edward P. and Wagner, Justin L. and DeChant, Lawrence J. and Beresh, Steven J. and Turpin, Aaron M.},

abstractNote = {Here, 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 refelct 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 observed 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.},

doi = {10.1017/jfm.2019.550},

journal = {Journal of Fluid Mechanics},

number = ,

volume = 876,

place = {United States},

year = {2019},

month = {10}

}

Works referenced in this record:

##
Detonations in Gas-Particle Mixtures

journal, November 2006

- Veyssiere, Bernard
- Journal of Propulsion and Power, Vol. 22, Issue 6

##
A multiphase model for compressible granular–gaseous flows: formulation and initial tests

journal, January 2016

- Houim, Ryan W.; Oran, Elaine S.
- Journal of Fluid Mechanics, Vol. 789

##
Interaction of a planar shock wave with a dense particle curtain: Modeling and experiments

journal, November 2012

- Ling, Y.; Wagner, J. L.; Beresh, S. J.
- Physics of Fluids, Vol. 24, Issue 11

##
Shock wave interaction with a cloud of particles

journal, October 1997

- Boiko, V. M.; Kiselev, V. P.; Kiselev, S. P.
- Shock Waves, Vol. 7, Issue 5

##
Pairwise interaction extended point-particle model for a random array of monodisperse spheres

journal, January 2017

- Akiki, G.; Jackson, T. L.; Balachandar, S.
- Journal of Fluid Mechanics, Vol. 813

##
Discrete element method prediction of particle curtain properties

journal, December 2015

- Goetsch, R. J.; Regele, J. D.
- Chemical Engineering Science, Vol. 137

##
Dense particle cloud dispersion by a shock wave

journal, March 2013

- Kellenberger, M.; Johansen, C.; Ciccarelli, G.
- Shock Waves, Vol. 23, Issue 5

##
Shock dispersal of dilute particle clouds

journal, February 2018

- Theofanous, Theo G.; Mitkin, Vladimir; Chang, Chih-Hao
- Journal of Fluid Mechanics, Vol. 841

##
Evaluation of kriging based surrogate models constructed from mesoscale computations of shock interaction with particles

journal, May 2017

- Sen, Oishik; Gaul, Nicholas J.; Choi, K. K.
- Journal of Computational Physics, Vol. 336

##
Shock attenuation by densely packed micro-particle wall

journal, August 2018

- Lv, Hua; Wang, Zhongqi; Zhang, Yunming
- Experiments in Fluids, Vol. 59, Issue 9

##
Shock wave interactions with particles and liquid fuel droplets

journal, January 2003

- Chang, E. J.; Kailasanath, K.
- Shock Waves, Vol. 12, Issue 4

##
Dispersion of a cloud of particles by a moving shock: Effects of the shape, angle of rotation, and aspect ratio

journal, November 2013

- Davis, S. L.; Dittmann, T. B.; Jacobs, G. B.
- Journal of Applied Mechanics and Technical Physics, Vol. 54, Issue 6

##
Unsteady drag following shock wave impingement on a dense particle curtain measured using pulse-burst PIV

journal, June 2017

- DeMauro, Edward P.; Wagner, Justin L.; Beresh, Steven J.
- Physical Review Fluids, Vol. 2, Issue 6

##
Numerical investigation of explosion suppression by inert particles in straight ducts

journal, June 2008

- Kosinski, Pawel
- Journal of Hazardous Materials, Vol. 154, Issue 1-3

##
Evaluation of multifidelity surrogate modeling techniques to construct closure laws for drag in shock–particle interactions

journal, October 2018

- Sen, Oishik; Gaul, Nicholas J.; Choi, K. K.
- Journal of Computational Physics, Vol. 371

##
Computational study of the shock driven instability of a multiphase particle-gas system

journal, February 2016

- McFarland, Jacob A.; Black, Wolfgang J.; Dahal, Jeevan
- Physics of Fluids, Vol. 28, Issue 2

##
The erosion of dust by a shock wave in air: initial stages with laminar flow

journal, March 1978

- Merzkirch, W.; Bracht, K.
- International Journal of Multiphase Flow, Vol. 4, Issue 1

##
Pressure loss Associated with Compressible flow through Square-Mesh wire Gauzes

journal, February 1967

- Pinker, R. A.; Herbert, M. V.
- Journal of Mechanical Engineering Science, Vol. 9, Issue 1

##
Unsteady effects in dense, high speed, particle laden flows

journal, May 2014

- Regele, J. D.; Rabinovitch, J.; Colonius, T.
- International Journal of Multiphase Flow, Vol. 61

##
Experimental and numerical investigation of the shock-induced fluidization of a particles bed

journal, February 1998

- Rogue, X.; Rodriguez, G.; Haas, J. F.
- Shock Waves, Vol. 8, Issue 1

##
Impact zone dynamics of dilute mono- and polydisperse jets and their implications for the initial conditions of pyroclastic density currents

journal, September 2017

- Sweeney, Matthew R.; Valentine, Greg A.
- Physics of Fluids, Vol. 29, Issue 9

##
The dynamics of dense particle clouds subjected to shock waves. Part 1. Experiments and scaling laws

journal, March 2016

- Theofanous, Theo G.; Mitkin, Vladimir; Chang, Chih-Hao
- Journal of Fluid Mechanics, Vol. 792

##
Vortex Formation in a Shock-Accelerated Gas Induced by Particle Seeding

journal, May 2011

- Vorobieff, Peter; Anderson, Michael; Conroy, Joseph
- Physical Review Letters, Vol. 106, Issue 18

##
Explosive dispersal of solid particles

journal, January 2001

- Zhang, F.; Frost, D. L.; Thibault, P. A.
- Shock Waves, Vol. 10, Issue 6

##
A multiphase shock tube for shock wave interactions with dense particle fields

journal, February 2012

- Wagner, Justin L.; Beresh, Steven J.; Kearney, Sean P.
- Experiments in Fluids, Vol. 52, Issue 6