On the Validation of the Sharp-Wheeler Bubble Merger Model From Experimental and Computational Data (Classic Reprint) - Hardcover

James Glimm

 
9780332864983: On the Validation of the Sharp-Wheeler Bubble Merger Model From Experimental and Computational Data (Classic Reprint)

Synopsis

Explains how the Sharp-Wheeler bubble model matches experimental and computational data.

This approachable overview shows how the single-bubble motion and bubble mergers shape the Rayleigh-Taylor instability, with results that align with Read’s experiments.

The study uses a simple, yet powerful, statistical bubble model and a front-tracking hydrodynamics code to simulate many bubbles. It finds a linear growth of the average bubble interface height over time and identifies key dimensionless constants that describe both single bubbles and mergers. The work also discusses how renormalized values arise in chaotic flows and how the merger process influences acceleration.
  • Grounded in both experiment and computation, linking observed constant acceleration to the model parameters
  • Describes how the merger criterion and a simple merger law govern the evolving bubble interface
  • Shows a scaling law where the acceleration coefficient is tied to initial bubble distribution and merger dynamics
  • Compares predictions with Read’s measurements and explains areas of agreement and remaining questions
Ideal for readers curious about fluid instability, computational modeling, and how theory and experiment inform each other in chaotic flows.

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