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The Effects of Forced Vibration on the Motion of a Large Bubble Under Microgravity

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Abstract

The motion of a large gas bubble in a liquid-filled cell was experimentally and theoretically investigated under microgravity and forced vibration conditions. The experiment was conducted aboard the Space Shuttle during the STS-85 mission using two shallow, cylindrical fluid cells (97.3 mm I.D. × 16.8 mm thickness), each containing a mixture of air/mineral oil (cell #1) and air/water-surfactant solution (cell #2). In microgravity, a large air bubble formed in the middle of the cell, and the cell was oscillated in the direction normal to the cell axis at a specified frequency and amplitude. The bubble responded to periodic cell vibration by translating within at the same frequency but with a different amplitude, and deforming its shape from a circular cross-section to an oval shape. The bubble translation amplitude was found to vary linearly with the cell translation amplitude for both fluid systems. For the low viscosity system (cell #2), the bubble translation amplitude was weakly dependent on the cell vibration frequency and acceleration level. Resonance phenomena were observed at the lowest cell vibration frequencies tested (0.1–0.2 Hz) at which the shape deformation became periodic and the bubble translation amplitude was larger than the values expected from a linear response. A theoretical model was also developed to predict the bubble translation amplitude for both infinite and finite cell sizes, and an inviscid or viscous liquid. The linear two-dimensional model predictions compared well with the measured bubble translation data.

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Acknowledgements

The authors would like to gratefully thank the Canadian Space Agency (CSA) and the National Aeronautics and Space Administration (NASA) of the United States for providing the financial support and flight opportunity.

Funding

Financial support was received from the Canadian Space Agency and a flight opportunity was provided by NASA.

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Author notes

  1. M. Kawaji

    Present address: City University of New York – City College, 160 Convent Avenue, New York, NY, 10031, USA

  2. D. Lyubimov: deceased.

Authors and Affiliations

  1. Department of Chemical Engineering and Applied Chemistry, University of Toronto, 200 College Street, Toronto, ON, M5S 3E5, Canada

    M. Kawaji

  2. Theoretical Physics Department, Perm State University, Perm, Russia

    D. Lyubimov

  3. Mechanical Engineering Laboratory, AIST, Tsukuba, Japan

    N. Ichikawa

  4. Institute of Continuous Media Mechanics UB, RAS, Perm, Russia

    T. Lyubimova

  5. Fukuoka University, Fukuoka, Japan

    A. Kariyasaki

  6. Canadian Space Agency, St-Hubert, Laval, QC, Canada

    B. Tryggvason

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  1. M. Kawaji
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  2. D. Lyubimov
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  3. N. Ichikawa
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  4. T. Lyubimova
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  5. A. Kariyasaki
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  6. B. Tryggvason
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection, experimental data analysis and theoretical analysis were performed by M, NI, BT and AK, DVL and TL. The first draft of the manuscript was written by MK, DVL and TL and all authors commented on previous draft versions of the manuscript. All authors read and approved the final manuscript.

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Correspondence to M. Kawaji.

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Kawaji, M., Lyubimov, D., Ichikawa, N. et al. The Effects of Forced Vibration on the Motion of a Large Bubble Under Microgravity. Microgravity Sci. Technol. 33, 62 (2021). https://doi.org/10.1007/s12217-021-09908-1

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