Three-Dimensional Reconstruction of a Gas Bubble Trajectory in Liquid

The identification of the shape of the bubble trajectory is crucial for understanding the mechanism of bubble motion in liquid. In the paper it has been presented the technique of 3D bubble trajectory reconstruction using a single high speed camera and the system of mirrors. In the experiment a glass tank filled with distilled water was used. The nozzle through which the bubbles were generated was placed in the centre of the tank. The movement of the bubbles was recorded with a high speed camera, the Phantom v1610 at a 600 fps. The techniques of image analysis has been applied to determine the coordinates of mass centre of each bubble image. The 3D trajectory of bubble can be obtained by using triangulation methods. In the paper the measurement error of imaging computer tomography has been estimated. The maximum measurement error was equal to ±0,65 (mm). Trajectories of subsequently departing bubbles were visualized.

[1]  Ardeshir Goshtasby,et al.  On the Canny edge detector , 2001, Pattern Recognit..

[2]  Takayuki Saito,et al.  Measurement of the surrounding liquid motion of a single rising bubble using a Dual-Camera PIV system , 2007 .

[3]  Andrea Prosperetti,et al.  The added mass of an expanding bubble , 2003, Journal of Fluid Mechanics.

[4]  Jyeshtharaj B. Joshi,et al.  Bubble Formation and Bubble Rise Velocity in Gas−Liquid Systems: A Review , 2005 .

[5]  Andrew G. Livingston,et al.  Nanofiltration membrane cascade for continuous solvent exchange , 2007 .

[6]  Woodrow L. Shew,et al.  Force measurements on rising bubbles , 2006, Journal of Fluid Mechanics.

[7]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[8]  A. Tapucu,et al.  The motion of gas bubbles rising through stagnant liquid , 1969 .

[9]  Frédéric Risso,et al.  On the rise of an ellipsoidal bubble in water: oscillatory paths and liquid-induced velocity , 2001, Journal of Fluid Mechanics.

[10]  P. C. Duineveld,et al.  The rise velocity and shape of bubbles in pure water at high Reynolds number , 1995, Journal of Fluid Mechanics.

[11]  Yong Yan,et al.  Hilbert–Huang transform based signal analysis for the characterization of gas–liquid two-phase flow , 2007 .

[12]  A. Biesheuvel,et al.  Notes on the Path and Wake of a Gas Bubble Rising in Pure Water , 2001 .

[13]  Hiroshige Kikura,et al.  Pattern recognition and signal processing of ultrasonic echo signal on two-phase flow , 2006 .

[14]  Ajl Harrison,et al.  Bubble distribution and behaviour in bubbling fluidised beds , 2007 .