High-speed (20 kHz) digital in-line holography for transient particle tracking and sizing in multiphase flows

Daniel R. Guildenbecher; Marcia A. Cooper; Paul E. Sojka

doi:10.1364/AO.55.002892

Applied Optics
Vol. 55,
Issue 11,
pp. 2892-2903
(2016)
•https://doi.org/10.1364/AO.55.002892

High-speed (20 kHz) digital in-line holography for transient particle tracking and sizing in multiphase flows

Daniel R. Guildenbecher, Marcia A. Cooper, and Paul E. Sojka

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Daniel R. Guildenbecher, Marcia A. Cooper, and Paul E. Sojka, "High-speed (20 kHz) digital in-line holography for transient particle tracking and sizing in multiphase flows," Appl. Opt. 55, 2892-2903 (2016)

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- Image Processing
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About this Article
History
- Original Manuscript: January 26, 2016
- Revised Manuscript: March 3, 2016
- Manuscript Accepted: March 4, 2016
- Published: April 5, 2016

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Abstract

High-speed (20 kHz) digital in-line holography (DIH) is applied for 3D quantification of the size and velocity of fragments formed from the impact of a single water drop onto a thin film of water and burning aluminum particles from the combustion of a solid rocket propellant. To address the depth-of-focus problem in DIH, a regression-based multiframe tracking algorithm is employed, and out-of-plane experimental displacement accuracy is shown to be improved by an order-of-magnitude. Comparison of the results with previous DIH measurements using low-speed recording shows improved positional accuracy with the added advantage of detailed resolution of transient dynamics from single experimental realizations. The method is shown to be particularly advantageous for quantification of particle mass flow rates. For the investigated particle fields, the mass flows rates, which have been automatically measured from single experimental realizations, are found to be within 8% of the expected values.

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Supplementary Material (2)

Name	Description
Visualization 1: MP4 (1732 KB)	Video results after applying regression-based multiframe tracking algorithm.
Visualization 2: MP4 (30497 KB)	Video results of holograms displaying the combustion of an aluminized propellant.

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Approximate Fall Height (mm)	Number of Videos Analyzed	Initial Diameter, $d_{0}$ (mm)	Impact Velocity, $v_{0}$ (m/s)	Dimensionless Film Thickness, $δ = h / d_{0}$	Impact Weber Number, We
600	22	$2.639 \pm 0.007$	$3.22 \pm 0.01$	$0.891 \pm 0.002$	$381 \pm 2$
900	26	$2.619 \pm 0.011$	$3.89 \pm 0.01$	$0.897 \pm 0.004$	$552 \pm 5$
2250	20	$2.648 \pm 0.006$	$5.62 \pm 0.02$	$0.888 \pm 0.002$	$1160 \pm 10$

					Fragment Mass Ratio (%)
Impact Weber Number, We	Number of Fragments	$D_{10}$ (μm)	$D_{30}$ (μm)	$D_{32}$ (μm)	Measured	Okawa et al. [25]
$381 \pm 2$	$46 \pm 7$	$136 \pm 17$	$168 \pm 20$	$207 \pm 38$	$1.2 \pm 0.4$	1.3
$552 \pm 5$	$61 \pm 8$	$150 \pm 15$	$214 \pm 21$	$303 \pm 56$	$3.3 \pm 1.1$	3.3
$1160 \pm 10$	$80 \pm 10$	$198 \pm 18$	$308 \pm 43$	$475 \pm 119$	$12.5 \pm 6.5$	––

Approximate Fall Height (mm)	Number of Videos Analyzed	Initial Diameter, $d_{0}$ (mm)	Impact Velocity, $v_{0}$ (m/s)	Dimensionless Film Thickness, $δ = h / d_{0}$	Impact Weber Number, We
600	22	$2.639 \pm 0.007$	$3.22 \pm 0.01$	$0.891 \pm 0.002$	$381 \pm 2$
900	26	$2.619 \pm 0.011$	$3.89 \pm 0.01$	$0.897 \pm 0.004$	$552 \pm 5$
2250	20	$2.648 \pm 0.006$	$5.62 \pm 0.02$	$0.888 \pm 0.002$	$1160 \pm 10$

					Fragment Mass Ratio (%)
Impact Weber Number, We	Number of Fragments	$D_{10}$ (μm)	$D_{30}$ (μm)	$D_{32}$ (μm)	Measured	Okawa et al. [25]
$381 \pm 2$	$46 \pm 7$	$136 \pm 17$	$168 \pm 20$	$207 \pm 38$	$1.2 \pm 0.4$	1.3
$552 \pm 5$	$61 \pm 8$	$150 \pm 15$	$214 \pm 21$	$303 \pm 56$	$3.3 \pm 1.1$	3.3
$1160 \pm 10$	$80 \pm 10$	$198 \pm 18$	$308 \pm 43$	$475 \pm 119$	$12.5 \pm 6.5$	––

Abstract

Supplementary Material (2)

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Equations (2)

Applied Optics