Effective Rheology of Bubbles Moving in a Capillary Tube
Fluid Dynamics
2013-08-09 v1
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 from 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.
Keywords
Cite
@article{arxiv.1208.4538,
title = {Effective Rheology of Bubbles Moving in a Capillary Tube},
author = {Santanu Sinha and Alex Hansen and Dick Bedeaux and Signe Kjelstrup},
journal= {arXiv preprint arXiv:1208.4538},
year = {2013}
}
Comments
4 pages, 1 figure