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Research Papers: Fundamental Issues and Canonical Flows

Effects of Initial Perturbations in the Early Moments of an Explosive Dispersal of Particles

[+] Author and Article Information
Subramanian Annamalai, Frederick Ouellet, Christopher Neal

Mechanical and Aerospace
Engineering Department,
University of Florida,
Gainesville, FL 32611

Bertrand Rollin

Center for Compressible Multiphase Turbulence,
University of Florida,
Gainesville, FL 32611
e-mail: brollin@ufl.edu

Thomas L. Jackson, S. Balachandar

Center for Compressible Multiphase Turbulence,
University of Florida,
Gainesville, FL 32611

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received February 5, 2015; final manuscript received June 10, 2015; published online April 12, 2016. Assoc. Editor: Praveen Ramaprabhu.

J. Fluids Eng 138(7), 070903 (Apr 12, 2016) Paper No: FE-15-1091; doi: 10.1115/1.4030954 History: Received February 05, 2015

Recent experiments have shown that when a dense layer of solid particles surrounding a high-energy reactive material is explosively dispersed, the particles cluster locally leading to jetlike patterns. The formation of these coherent structures has yet to be fully understood and is believed to have its origin in the early moments of the explosive dispersal. This paper focuses on the early moments of an explosive dispersal of particles. In particular, the effect of initial perturbations on both the gas and particulate phase is investigated, considering heavy particles with a low initial particle volume fraction. Two-dimensional simulations are carried out, and results suggest that a distinctive heterogeneity in the form of a single wavelength perturbation in the rapidly expanding detonation products does not have a significant impact on the early evolution of neither the gas phase nor the cloud of particles. In contrast, the equivalent distinctive heterogeneity in the initial particle volume fraction distribution lingers for the duration of our simulations. Developing instabilities in the gas phase and at the inner- and outer-most front of the particle bed display a dominant wavelength equal to the wavelength of the initial perturbation in the particle volume fraction.

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Figures

Grahic Jump Location
Fig. 1

Schematic of the two-dimensional computational domain for the explosive dispersal of particles simulations. Not drawn to scale.

Grahic Jump Location
Fig. 2

Averaged gas and particle volume fraction profiles for initially unperturbed particle volume fraction and unperturbed detonation products; case 0: (a) azimuthally averaged gas density profiles and (b) azimuthally averaged particle volume fraction profiles

Grahic Jump Location
Fig. 3

Gas density contour plot superimposed with computational particles for initially unperturbed particle volume fraction and unperturbed detonation products; case 0: (a) t = 100 μs and (b) t = 500 μs

Grahic Jump Location
Fig. 4

Gas density contour plot superimposed with computational particles for initially perturbed detonation products; case 1: (a) t = 100 μs and (b) t = 500 μs

Grahic Jump Location
Fig. 5

Gas density contour plot superimposed with computational particles for initially perturbed particle volume fraction; case 2: (a) t = 100 μs and (b) t = 500 μs

Grahic Jump Location
Fig. 6

Gas density contour plot at t = 500 μs: (a) initially perturbed detonation products; case 1 and (b) initially perturbed particle volume fraction; case 2

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