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Experimental investigations on two-phase flow past a sphere using digital Particle-Image-Velocimetry

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Abstract

Digital Particle-Image-Velocimetry was applied to investigate particle trajectories in a gas flow past a sphere. The particle displacement was determined by autocorrelation analysis of image sections. To enhance the signal/noise ratio a synthetic image with idealized particle pictures was generated from the real image. The autocorrelation function (ACF) was calculated using the Fast Hartley Transformation (FHT). The desired secondary maximum of this function was detected by an algorithm with subpixel resolution. A data validation step testing the plausibility of the velocity vectors completes the image analysis. Particle trajectories are traced with help of the particles' velocity vectors. The particle deposition on a sphere can be deduced from the course of these trajectories.

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Abbreviations

Cu :

Cunningham correction

e :

double distance between the limiting particle trajectory and the stagnation point axis

f :

focal length

H :

Hartley-Transform

M :

enlargement factor

S :

interference band spacing

x :

coordinate

y :

coordinate

x p :

particle diameter

x T :

droplet or sphere diameter

V :

image as grey value function

ν ∞.rel :

face velocity of droplet or sphere

Δ :

particle image displacement

Δx :

particle image displacement in x-direction

Δy :

particle image displacement in y-direction

η :

collection efficiency

λ :

wavelength of the laser light

μ L :

fluid viscosity

ρ L :

fluid density

ρ p :

particle density

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Authors and Affiliations

  1. Institut für Mechanische Verfahrenstechnik und Mechanik, Universität Karlsruhe (TH), D-7500, Karlsruhe, Federal Republic of Germany

    M. Schmidt & F. Löffler

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  1. M. Schmidt
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  2. F. Löffler
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Schmidt, M., Löffler, F. Experimental investigations on two-phase flow past a sphere using digital Particle-Image-Velocimetry. Experiments in Fluids 14, 296–304 (1993). https://doi.org/10.1007/BF00189487

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