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Morphologies and dynamics of micro-droplet impact onto an idealised scratch

Published online by Cambridge University Press:  26 August 2021

Khaled H.A. Al-Ghaithi Open the ORCID record for Khaled H.A. Al-Ghaithi [Opens in a new window] ,
Oliver G. Harlen Open the ORCID record for Oliver G. Harlen [Opens in a new window] ,
Nikil Kapur  and
Mark C.T. Wilson Open the ORCID record for Mark C.T. Wilson [Opens in a new window]
Khaled H.A. Al-Ghaithi
Affiliation:
EPSRC Centre for Doctoral Training in Fluid Dynamics, University of Leeds, Leeds LS2 9JT, UK
Oliver G. Harlen
Affiliation:
School of Mathematics, University of Leeds, Leeds LS2 9JT, UK
Nikil Kapur
Affiliation:
School of Mechanical Engineering, University of Leeds, Leeds LS2 9JT, UK
Mark C.T. Wilson*
Affiliation:
School of Mechanical Engineering, University of Leeds, Leeds LS2 9JT, UK
*
†Email address for correspondence: [email protected]
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Abstract

As inkjet technology develops to produce smaller droplets, substrate features such as accidental scratches or manufacturing defects can potentially affect the outcome of printing, particularly for printed electronics where continuous tracks are required. Here, the deposition of micro-droplets onto a scratch of commensurate size is studied. The scratch is considered as a groove of rectangular cross-section, with rectangular side ridges representing material displaced from the substrate, and seven equilibrium morphologies are identified as a result of inertial spreading, contact-line pinning, imbibition into the scratch and capillary flow. A regime map is constructed in terms of scratch depth and width, and theoretical estimates of the regime boundaries are developed by adapting droplet spreading laws for flat surfaces to account for liquid entering the scratches. Good agreement is seen with numerical results obtained using a graphical processing unit-accelerated three-dimensional multiphase lattice Boltzmann model validated against published experiments, and the influences of Reynolds number, Weber number and advancing and receding contact angles are explored. Negative and positive implications of the results for printing applications are discussed and illustrated via multiple-droplet simulations of printing across and along scratches.

JFM classification

Drops and Bubbles: Breakup/coalescence Drops and Bubbles: Drops Interfacial Flows (free surface): Capillary flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 925 , 25 October 2021 , A23
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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Al-Ghaithi et al. supplementary movie 1

Quasi-spherical cap morphology example.

Download Al-Ghaithi et al. supplementary movie 1(Video)
Video 5.2 MB

Al-Ghaithi et al. supplementary movie 2

Inertial morphology example.

Download Al-Ghaithi et al. supplementary movie 2(Video)
Video 4 MB

Al-Ghaithi et al. supplementary movie 3

Edge-pinned morphology example.

Download Al-Ghaithi et al. supplementary movie 3(Video)
Video 3.9 MB

Al-Ghaithi et al. supplementary movie 4

Semi-Imbibed morphology example.

Download Al-Ghaithi et al. supplementary movie 4(Video)
Video 4.3 MB

Al-Ghaithi et al. supplementary movie 5

Fully-Imbibed morphology example

Download Al-Ghaithi et al. supplementary movie 5(Video)
Video 2.8 MB

Al-Ghaithi et al. supplementary movie 6

Capillary morphology example. Capillary flow occurs after droplet deposition. The frame rate changes in the video because of the difference in frame rate between impact spreading and capillary flow.

Download Al-Ghaithi et al. supplementary movie 6(Video)
Video 5.7 MB

Al-Ghaithi et al. supplementary movie 7

Simulations of printing of consecutive droplets across scratches of two depths. The width and depths are chosen within the split semi-imbibed morphology range. Splitting occurs for the first depth as expected but consecutive droplets push back and cause re-coalescence. Splitting occurs and persists for the second depth.

Download Al-Ghaithi et al. supplementary movie 7(Video)
Video 14.5 MB

Al-Ghaithi et al. supplementary movie 8

Simulations of printing consecutive droplets along scratches in the edge-pinned range. The first droplet experiences the expected morphology but consecutive droplets cause overspill. Making the scratch deeper solves the over-spilling issue.

Download Al-Ghaithi et al. supplementary movie 8(Video)
Video 6.8 MB