Pressure and shear flow singularities: Fluid splitting and printing nip hydrodynamics

A numerical simulation of the fluid flow in the gravure printing nip, based on a discontinuous Galerkin algorithm, is used to study the fluid-splitting process and the transition between point and lamella splitting. We study the pressure and shear singularities at the contact point of the printing c...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 35; no. 3
Main Authors Rieckmann, M. E., Brumm, P., Sauer, H. M., Dörsam, E., Kummer, F.
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.03.2023
Subjects
Algorithms
Boundary value problems
Computer simulation
Contact pressure
Fluid dynamics
Fluid flow
Gravure
Lamella
Mathematical analysis
Physics
Printing
Shear flow
Singularities
Splitting
Substrates
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Summary:A numerical simulation of the fluid flow in the gravure printing nip, based on a discontinuous Galerkin algorithm, is used to study the fluid-splitting process and the transition between point and lamella splitting. We study the pressure and shear singularities at the contact point of the printing cylinder and substrate as a function of the variable microscopic residual gap and variations of the printing fluid quantities introduced to the nip. As the hydrodynamic boundary value problem is ill-defined by the nip singularity, we enhance the simulation using renormalization group and algebraic scaling techniques in order to obtain a numerically stable and physically meaningful prediction. Our simulations are compared to analytical results from lubrication theory and to experimental observations on a gravure press.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0139000