Pendent Steady Rivulets: From Lubrication to Bifurcation

Autor:	Grinfeld, Michael, Pritchard, David
Rok vydání:	2023
Předmět:	Physics - Fluid Dynamics
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.10856 Zobrazit plný text záznamu View this record from Arxiv