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Model for the outer cavity of a dual‐cavity die with parameters determined by two‐dimensional finite‐element analysis
Author(s) -
Ruschak Kenneth J.,
Weinstein Steven J.
Publication year - 2018
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.15927
Subject(s) - reynolds number , finite element method , flow (mathematics) , cavity wall , mechanics , die (integrated circuit) , shape factor , materials science , geometry , physics , mathematics , composite material , thermodynamics , turbulence , nanotechnology
A coating die forms liquid layers of uniform thickness for application to a substrate. In a dual‐cavity coating die an outer cavity and slot improves flow distribution from an inner cavity and slot. A model for axial flow in the outer cavity must consider the ever‐present cross flow. A 1‐D equation for the pressure gradient for a power‐law liquid is obtained as a small departure from a uniform flow distribution and no axial flow. The equation contains a shape factor dependent on cavity shape, Reynolds number, and power‐law index. The shape factor for five triangular cavity shapes is obtained by finite‐element analysis and correlated for application to die design up to the onset of flow recirculation which arises at the junction of the cavity and outer slot. The performance of the combined cavity and slot is considered and the most effective design determined. © 2017 American Institute of Chemical Engineers AIChE J , 64: 708–716, 2018