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Capillary-driven flows in eccentric annuli under microgravity

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Abstract

The capillary-driven flow is an essential portion of liquid behavior under microgravity. Capillary-driven flows in eccentric annuli under microgravity are deeply analyzed in this paper. A second-order differential equation for the climbing height of liquid is derived. It can be solved with the Runge–Kutta method with appropriate initial conditions. The influences of the dynamic angle, the friction force on the annulus wall and the liquid meniscus in the reservoir on liquid behaviors are all considered in this paper. Moreover, effects of eccentricity on flow resistance and flow speed are discussed. This study has been verified by numerical simulation with the volume of fluid method.

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Acknowledgements

We are really grateful for Prof. Li Duan. She offered many suggestions when preparing the manuscript in the beginning. This study was funded by the China Manned Space Engineering Program (Fluid Physics Experimental Rack and the Priority Research Program of Space Station), and the Natural Science Foundation Project (No. 12032020).

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Authors and Affiliations

  1. Beijing Institute of Control Engineering, China Academy of Space Technology, Beijing, 100094, China

    Shangtong Chen, Lei Guo, Yong Li, Jintao Liu & Wen Li

  2. Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China

    Qi Kang

  3. College of Engineering and Science, University of Chinese Academy of Sciences, Beijing, 100049, China

    Qi Kang

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  1. Shangtong Chen
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Chen, S., Guo, L., Li, Y. et al. Capillary-driven flows in eccentric annuli under microgravity. Arch Appl Mech 93, 731–743 (2023). https://doi.org/10.1007/s00419-022-02295-y

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