Physics of Fluids - Publications

A thin-film equation for a viscoelastic fluid and its application to the Landau‚ÄìLevich problem ,

arΧiv
Journal of Non-Newtonian Fluid Mechanics 305, 104816 (2022)

Authors

	Charu Datt
	Minkush Kansal
	Jacco Snoeijer

BibTeΧ

@article{DATT2022104816,
title = {A thin-film equation for a viscoelastic fluid, and its application to the Landau‚ÄìLevich problem},
journal = {Journal of Non-Newtonian Fluid Mechanics},
volume = {305},
pages = {104816},
year = {2022},
issn = {0377-0257},
doi = {https://doi.org/10.1016/j.jnnfm.2022.104816},
url = {https://www.sciencedirect.com/science/article/pii/S037702572200060X},
author = {Charu Datt and Minkush Kansal and Jacco H. Snoeijer},
keywords = {Thin-film equation, Viscoelasticity, Landau‚ÄìLevich problem},
abstract = {Thin-film flows of viscoelastic fluids are encountered in various industrial and biological settings. The understanding of thin viscous film flows in Newtonian fluids is very well developed, which for a large part is due to the so-called thin-film equation. This equation, a single partial differential equation describing the height of the film, is a significant simplification of the Stokes equation effected by the lubrication approximation which exploits the thinness of the film. There is no such established equation for viscoelastic fluid flows. Here we derive the thin-film equation for a second-order fluid, and use it to study the classical Landau‚ÄìLevich dip-coating problem. We show how viscoelasticity of the fluid affects the thickness of the deposited film, and address the discrepancy on the topic in literature.}
}