Graduate Thesis Or Dissertation


A Theoretical Model for Spherical Cap Bubble Geometry Public Deposited

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  • The significant variation in bubble geometry, as a function of size, has fascinated scientists for hundreds of years. However, a comprehensive explanation for these observations and the underlying physics has eluded researchers. A theoretical model which describes a the relationship between forces that produce spherical cap bubble geometry has been developed. In order to validate the model predictions and underlying assumptions, an experimental facility has been constructed to facilitate particle image velocimetry measurements to be taken on the flow produced by rising bubbles. The bubbles were studied in a square vertical test section though which deionized water was run in a counter-current configuration. Bubble volumes ranged from 0.50 mL to 11.1 mL. The particle image velocimetry measurements provided data on the velocity fields surrounding the bubbles and a representation of the bubbles geometry. A pressure reconstruction algorithm was applied to the velocity data such that the additional insight could be gained by analyzing the corresponding pressure fields. Geometric information about the bubble was examined via the mask defined for each frame of the PIV data. Using this mask, a method for measuring the curvature has been developed as well as a method for determining the attack angle of the bubble.
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