4.5 Article

Resonance behavior of a compliant piezo-driven inkjet channel with an entrained microbubble

Journal

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
Volume 151, Issue 4, Pages 2545-2557

Publisher

ACOUSTICAL SOC AMER AMER INST PHYSICS
DOI: 10.1121/10.0009784

Keywords

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Funding

  1. Netherlands Organisation for Scientific Research (NWO)
  2. Canon Production Printing, University of Twente
  3. Eindhoven University of Technology
  4. University of Twente
  5. Max-Planck Center Twente

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In this study, the effect of microbubbles on ink jetting behavior was investigated using theoretical modeling and experiments. The resonance behavior of the ink channel with entrained microbubbles was studied, and a physical insight into the coupled dynamics of the system was provided.
Microbubbles entrained in a piezo-driven drop-on-demand printhead disturb the acoustics of the microfluidic ink channel and, thereby, the jetting behavior. Here, the resonance behavior of an ink channel as a function of the microbubble size and number of bubbles is studied through theoretical modeling and experiments. The system is modeled as a set of two coupled harmonic oscillators: one corresponds to the compliant ink channel and the other corresponds to the microbubble. The predicted and measured eigenfrequencies are in excellent agreement. It was found that the resonance frequency is independent of the bubble size as long as the compliance of the bubble dominates over that of the piezo actuator. An accurate description of the eigenfrequency of the coupled system requires the inclusion of the increased inertance of the entrained microbubble due to confinement. It is shown that the inertance of a confined bubble can be accurately obtained by using a simple potential flow approach. The model is further validated by the excellent agreement between the modeled and measured microbubble resonance curves. The present work, therefore, provides physical insight into the coupled dynamics of a compliant ink channel with an entrained microbubble.

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