Modeling of coating flows on curved surfaces
type: Item
instance of: scholarly article
title: Modeling of coating flows on curved surfaces
zbMATH Open document ID: 0823.76021
DOI: 10.1007/BF00046385
author: Leonard W. Schwartz
author: D. E. Weidner
published in: Journal of Engineering Mathematics
publication date: 1995-01-01T00:00:00Z
review text: The transient behavior of a viscous layer on a curved substrate is investigated. Under the assumptions that the layer is thin, the motion is slow, and the free surfce is almost parallel to the substrate, a single nonlinear partial differential equation for the layer thickness is derived. Substrates with piecewise constant curvature are considered in detail. A linearized problem is solved analytically while the full nonlinear equation is analyzed numerically.
Mathematics Subject Classification ID: 76D08
zbMATH DE Number: 763507
zbMATH Keywords: weak solution
zbMATH Keywords: viscoelastic fluids
zbMATH Keywords: Oldroyd models
zbMATH Keywords: nonlinear partial differential equation
zbMATH Keywords: layer thickness
zbMATH Keywords: piecewise constant curvature
zbMATH Keywords: linearized problem
MaRDI profile type: Publication
cites work: On surface levelling in viscous liquids and gels
cites work: Integral results for nonlinear diffusion equations
cites work: Q3493973
cites work: Unsteady spreading of thin liquid films with small surface tension
cites work: Q4049680
cites work: Thin static drops with a free attachment boundary
description: scientific article; zbMATH DE number 763507