On the Validation of the Sharp-Wheeler Bubble Merger Model From Experimental and Computational Data - Softcover

James Glimm

 
9781333277314: On the Validation of the Sharp-Wheeler Bubble Merger Model From Experimental and Computational Data

Synopsis

This book analyzes a model of bubble motion and merging in the Rayleigh-Taylor instability. The Rayleigh-Taylor instability describes the behavior of fluids of different densities that are adjacent to each other. The model considered in this book combines two key aspects of bubble motion: the constant velocity of individual bubbles and the merging of adjacent bubbles under specific criteria. By simulating this model numerically, the author finds that the average height of the bubble interface increases linearly with time, indicating constant acceleration. The dimensionless ratio of the acceleration coefficient to the Atwood number and the merger criterion coefficient is found to be nearly constant, suggesting a universal relationship. Additionally, the book provides insights into the dependency of this acceleration coefficient on the initial bubble distribution and the lack of a universal constant acceleration rate for certain initial bubble distributions.

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