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Scaling Behavior of Pattern Formation in the Flexographic Ink Splitting Process

Brumm, Pauline ; Sauer, Hans Martin ; Dörsam, Edgar (2023)
Scaling Behavior of Pattern Formation in the Flexographic Ink Splitting Process.
In: Colloids and Interfaces, 2019, 3 (1)
doi: 10.26083/tuprints-00015820
Article, Secondary publication, Publisher's Version

Copyright Information: CC BY 4.0 International - Creative Commons, Attribution.

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Item Type: Article
Type of entry: Secondary publication
Title: Scaling Behavior of Pattern Formation in the Flexographic Ink Splitting Process
Language: English
Date: 1 December 2023
Place of Publication: Darmstadt
Year of primary publication: 2019
Place of primary publication: Basel
Publisher: MDPI
Journal or Publication Title: Colloids and Interfaces
Volume of the journal: 3
Issue Number: 1
Collation: 16 Seiten
DOI: 10.26083/tuprints-00015820
Corresponding Links:
Origin: Secondary publication DeepGreen

We considered pattern formation, i.e. viscous fingering, in the ink splitting process between an elastic flexographic printing plate and the substrate. We observed an unexpected scaling behavior of the emerging pattern length scale (i.e., finger width) as a function of printing velocity, fluid viscosity, surface tension, and plate elasticity coefficients. Scaling exponents depended on the ratio of the capillary number of the fluid flow, and the elastocapillary number defined by plate elasticity and surface tension. The exponents significantly differed from rigid printing plates, which depend on the capillary number only. A dynamic model is proposed to predict the scaling exponents. The results indicate that flexo printing corresponded to a self-regulating dynamical equilibrium of viscous, capillary, and elastic forces. We argue that these forces stabilize the process conditions in a flexo printing unit over a wide range of printing velocities, ink viscosities, and mechanical process settings.

Uncontrolled Keywords: pattern formation, ink splitting, scaling laws, elastocapillarity, viscous fingering, flexography, Saffman-Taylor instability
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-158207
Additional Information:

This article belongs to the Special Issue Colloids and Interfaces in Printing Technology

Classification DDC: 600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 16 Department of Mechanical Engineering > Institute of Printing Science and Technology (IDD)
Date Deposited: 01 Dec 2023 14:03
Last Modified: 13 Dec 2023 13:57
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/15820
PPN: 514030445
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