Oscillatory Incompressible Fluid Flow in a Tapered Tube With a Free Surface in an Inkjet Print Head

[+] Author and Article Information
Dong-Youn Shin

104-1 Munji-dong, Yoosung-ku, Taejon, South Korea

Telephone: +82-42-870-6057 Fax: +82-42-861-2585

e-mail: wonwhale@lgehem.com

Paul Grassia

School of Chemical Engineering and Analytical Science, The University of Manchester, P.O. Box 88, Sackville Street, Manchester M60 1QD, United Kingdom

Telephone: +44-161-306-8851 Fax +44-161-306-4399

e-mail: paul.grassia@manchester.ac.uk

Brian Derby

Manchester Materials Science Center, The University of Manchester, Grosvenor Street, Manchester M1 7HS, United Kingdom

Telephone: +44-161-200-3569 Fax: +44-161-200-8877

e-mail: brian.derby@manchester.ac.uk

J. Fluids Eng 127(1), 98-109 (Mar 22, 2005) (12 pages) doi:10.1115/1.1852474 History: Received September 23, 2002; Revised August 31, 2004; Online March 22, 2005
Copyright © 2005 by ASME
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Nozzle sectioning. (a) A set of discrete cylinders. (b) A set of continuous tapered nozzle sections
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Schematic of the drop formation stages illustrated by FLOW 3D simulations. (a) Meniscus motion without deformation. (b) Meniscus deformation. (c) Inception of necking. (d) Break-off. The different intensity of shading represents different axial velocities.
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Schematic drawing of the meniscus cross-section at the nozzle tip
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Print head dimensions (Provided by MicroFab Inc.)
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Voltage waveforms. (a) Three voltage waveforms for cases A–C. (b) Fourier series approximated voltage waveform for case C with 50 Fourier terms.
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Schematic based on experimental observations of meniscus inversion by local deformation and extra mass transport. (a) Meniscus retreat. (b) Meniscus advance without window model (conventional assumption). (c) Meniscus advance with window model (present model). Retreat and advance are clearly asymmetric in time.
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Elapsed time, Δt, from the moment of maximum meniscus retreat to the moment when an emerging jet reaches a hemispherical volume. (a) Against voltage at 5 kHz. (b) Against frequency at 60 V.
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Comparison of F3(z) and its series function approximation T1(z) with four nozzle sections and four terms per section, and eight nozzle sections and eight terms per section. (a) Real part of these functions. (b) Imaginary part of these functions. (c) Overall error of series approximations.
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Comparison of pressure results from numerical and analytical computations at 400 μm before the nozzle orifice on the axis. (a) Case A. (b) Case B. (c) Case C.
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Computational domain of the last 400 μm of the nozzle for numerical simulations with FLOW 3D
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Pressure and axial velocity comparisons. (a) Case A. (b) Case B. (c) Case C.
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Volumetric flow rate comparisons. (a) Case A. (b) Case B. (c) Case C.



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