Abstract
The destruction of solid agglomerates suspended in argon by means of shock waves (1 <M s < 5) has been studied experimentally using a conventional shock tube apparatus. The change in particle size was measured by time-dependent in situ laser light scattering of the particle ensemble in the shock wave. The test facilities used are given in details, and the principle of the Mie-theory, necessary for complete understanding of the data reduction, is described.
In this paper data reduction and first analysis employing two independent trial solutions involving the Mie-theory for polydisperse, spherical particle-ensembles are presented. Three types of agglomerates suspended in argon with a mean initial size of about 1 gm were exposed to the shock wave and different size reduction behaviours were observed. The deagglomeration effect depends largely on the wave intensity and on the physico-chemical structure of the particle aggregates.
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Abbreviations
- d pg :
-
median particle radius
- f :
-
function
- I 0, λ :
-
intensity of incident light
- I λ :
-
intensity of scattered light
- i r ,i l :
-
Mie-intensity functions
- M s :
-
Mach number of shock wave
- \(\hat m_p \) :
-
particle refractive index
- N 0 :
-
number of particles
- n :
-
particle number concentration
- p :
-
pressure
- R :
-
distance between scattering volume and detector
- r p :
-
particle radius
- T :
-
temperature
- t :
-
time
- u s :
-
shock wave velocity
- Δp :
-
incremental change in pressure
- α = 2πr p /λ:
-
size parameter
- ɛ:
-
volume concentration of particle phase
- λ:
-
laser wave-length
- ϱ:
-
gas density
- σ g :
-
geometric standard deviation
- Θ :
-
angle between the incident and the scattered beams
- (−):
-
mean value
- g :
-
geometric
- j, k :
-
refer to observation angles
- l :
-
parallel
- p :
-
particle
- r :
-
perpendicular
- l :
-
pre-shock
- 2:
-
post-shock
References
Hinds, W. C. 1982: Aerosol technology. New York: Wiley & Sons
v. d. Hulst, H. C. 1957: Light scattering by small particles. New York: Wiley & Sons
Kerker, M. 1969: The scattering of light and other electromagnetic radiation. New York: Academic Press
Roth, P.; Thielen, K. 1983: Relaxationsprozesse in Aerosolströmugen mit polydisperser Partikelphase. Z. Angew. Math. Mech. 63, 341–348
Roth, P.; Zell, U.; Liu, B. Y. H. 1984: Particle dispersion by shock and expansion waves: preliminary observations and experiments. J. Aerosol Sci. 15, 293–296
Zahradnicek, A. 1976: Untersuchung zur Dispergierung von Quarz- und Kalksteinfraktionen im Korngrößenbereich 0,5–10 μm in strömenden Gasen. Dissertation, Universität Karlsruhe
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Brandt, O., Rajathurai, A.M. & Roth, P. First observations on break-up of particle agglomerates in shock waves. Experiments in Fluids 5, 86–94 (1987). https://doi.org/10.1007/BF00776178
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DOI: https://doi.org/10.1007/BF00776178