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Updated: May 13, 2026

Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System
Published on: May 9, 2021
Effective rheology of bubbles moving in a capillary tube
Santanu Sinha1, Alex Hansen, Dick Bedeaux
1Department of Physics, Norwegian University of Science and Technology, N-7491 Trondheim, Norway. Santanu.Sinha@ntnu.no
Abstract:
We calculate the average volumetric flux versus pressure drop of bubbles moving in a single capillary tube with varying diameter, finding a square-root relation from mapping the flow equations onto that of a driven overdamped pendulum. The calculation is based on a derivation of the equation of motion of a bubble train, considering the capillary forces and the entropy production associated with the viscous flow. We also calculate the configurational probability of the positions of the bubbles.
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