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Utilizing the ball lens effect for astigmatism particle tracking velocimetry

Brockmann, Philipp ; Kazerooni, Hamid Tabaei ; Brandt, Luca ; Hussong, Jeanette (2024)
Utilizing the ball lens effect for astigmatism particle tracking velocimetry.
In: Experiments in Fluids : Experimental Methods and their Applications to Fluid Flow, 2020, 61 (2)
doi: 10.26083/tuprints-00023900
Artikel, Zweitveröffentlichung, Verlagsversion

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Kurzbeschreibung (Abstract)

In the present study, a simple method is developed to apply astigmatism particle tracking velocimetry (APTV) to transparent particles utilizing backlight illumination. Here, a particle acts as ball lens and bundles the light to a focal point, which is used to determine the particle’s out-of-plane position. Due to the distance between focal point and particle, additional features have to be considered in ball lens astigmatism particle tracking velocimetry (BLAPTV) compared to conventional APTV. We describe required calibration steps and perform parameter studies to show how the autocorrelation coefficient and the light exposure affect the accuracy of the method. It is found that the accuracy and robustness of the Euclidean calibration approach as also used in conventional APTV (Cierpka et al. in Meas Sci Technol 22(1):015401, 2010a) can be increased if an additional calibration curve for the light intensity of the particle’s focal point is considered. In addition, we study the influence of the particle diameter and the refractive index jump between liquid and particles on the calibration curves and the accuracy. In this way, particles of the same size, but different material, can be distinguished by their calibration curve. Furthermore, an approach is presented to account for shape changes of the calibration curve along the depth of the measurement volume. Overall, BLAPTV provides high out-of-plane particle reconstruction accuracies with respect to the particle diameter. In test cases, position uncertainties down to 1.8% of the particle diameter are achieved for particles of dp=124μm. The measurement technique is validated for a laminar flow in a straight rectangular channel with a cross-sectional area of 2.3×30 mm². Uncertainties of 0.75% for the in-plane and 2.29% for out-of-plane velocity with respect to the maximum streamwise velocity are achieved.

Typ des Eintrags: Artikel
Erschienen: 2024
Autor(en): Brockmann, Philipp ; Kazerooni, Hamid Tabaei ; Brandt, Luca ; Hussong, Jeanette
Art des Eintrags: Zweitveröffentlichung
Titel: Utilizing the ball lens effect for astigmatism particle tracking velocimetry
Sprache: Englisch
Publikationsjahr: 23 April 2024
Ort: Darmstadt
Publikationsdatum der Erstveröffentlichung: Februar 2020
Ort der Erstveröffentlichung: Berlin ; Heidelberg
Verlag: Springer
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Experiments in Fluids : Experimental Methods and their Applications to Fluid Flow
Jahrgang/Volume einer Zeitschrift: 61
(Heft-)Nummer: 2
Kollation: 19 Seiten
DOI: 10.26083/tuprints-00023900
URL / URN: https://tuprints.ulb.tu-darmstadt.de/23900
Zugehörige Links:
Herkunft: Zweitveröffentlichung DeepGreen
Kurzbeschreibung (Abstract):

In the present study, a simple method is developed to apply astigmatism particle tracking velocimetry (APTV) to transparent particles utilizing backlight illumination. Here, a particle acts as ball lens and bundles the light to a focal point, which is used to determine the particle’s out-of-plane position. Due to the distance between focal point and particle, additional features have to be considered in ball lens astigmatism particle tracking velocimetry (BLAPTV) compared to conventional APTV. We describe required calibration steps and perform parameter studies to show how the autocorrelation coefficient and the light exposure affect the accuracy of the method. It is found that the accuracy and robustness of the Euclidean calibration approach as also used in conventional APTV (Cierpka et al. in Meas Sci Technol 22(1):015401, 2010a) can be increased if an additional calibration curve for the light intensity of the particle’s focal point is considered. In addition, we study the influence of the particle diameter and the refractive index jump between liquid and particles on the calibration curves and the accuracy. In this way, particles of the same size, but different material, can be distinguished by their calibration curve. Furthermore, an approach is presented to account for shape changes of the calibration curve along the depth of the measurement volume. Overall, BLAPTV provides high out-of-plane particle reconstruction accuracies with respect to the particle diameter. In test cases, position uncertainties down to 1.8% of the particle diameter are achieved for particles of dp=124μm. The measurement technique is validated for a laminar flow in a straight rectangular channel with a cross-sectional area of 2.3×30 mm². Uncertainties of 0.75% for the in-plane and 2.29% for out-of-plane velocity with respect to the maximum streamwise velocity are achieved.

Freie Schlagworte: Engineering Fluid Dynamics, Fluid- and Aerodynamics, Engineering Thermodynamics, Heat and Mass Transfer
ID-Nummer: Artikel-ID: 67
Status: Verlagsversion
URN: urn:nbn:de:tuda-tuprints-239007
Sachgruppe der Dewey Dezimalklassifikatin (DDC): 500 Naturwissenschaften und Mathematik > 530 Physik
600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau
Fachbereich(e)/-gebiet(e): 16 Fachbereich Maschinenbau
16 Fachbereich Maschinenbau > Fachgebiet Strömungslehre und Aerodynamik (SLA)
Hinterlegungsdatum: 23 Apr 2024 12:54
Letzte Änderung: 24 Apr 2024 09:45
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