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Use of a finite‐element method to interpret rheological effects in blade coating
Author(s) -
Sullivan Tim,
Middleman Stanley,
Keunings Roland
Publication year - 1987
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690331215
Subject(s) - mechanics , newtonian fluid , viscoelasticity , finite element method , rheology , inflow , materials science , non newtonian fluid , lubrication , coating , outflow , lubrication theory , surface tension , work (physics) , thermodynamics , physics , composite material , meteorology
Data and finite‐element simulations are presented for the blade coating of a series of Newtonian and non‐Newtonian fluids. Numerical simulations for purely viscous fluids show good agreement with coating thickness data for Newtonian and relatively inelastic non‐Newtonian liquids, including geometries for which lubrication theory is inaccurate. These simulations account for the shape of the free surface, with surface tension included, and incorporate realistic inflow and outflow boundary conditions. By comparing pressure distributions generated with the finite‐element technique to those calculated using lubrication theory, it is shown that the simple lubrication theory analysis suffers from inadequate inflow and outflow boundary conditions. Comparison of these simulations with new experimental results for three well‐characterized viscoelastic liquids, having nearly identical steady shear viscosities but different normal stress behavior, confirms speculations of earlier work with respect to the effect fluid rheology has on coating thickness.