Pendent Steady Rivulets: From Lubrication to Bifurcation
Fluid Dynamics
2023-04-24 v1
Abstract
We consider the shape of the free surface of steady pendent rivulets beneath a planar substrate. We formulate the governing equations in terms of two closely related dynamical systems and use classical phase-plane techniques to develop the bifurcation structure of the problem. Our results explain why lubrication theory is unable to capture this bifurcation structure for pendent rivulets, although it is successful in the related problem of sessile rivulets.
Keywords
Cite
@article{arxiv.2304.10856,
title = {Pendent Steady Rivulets: From Lubrication to Bifurcation},
author = {Michael Grinfeld and David Pritchard},
journal= {arXiv preprint arXiv:2304.10856},
year = {2023}
}