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Comparative Analysis of PIV and CFD Results for Unsteady Thermocapillary Convection in Thin-film Liquids

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Abstract

This study reports three-dimensional (3-D) velocity profile measurements on planar domains of buoyant thermocapillary convection in thin layers of liquid using stereoscopic particle image velocimetry (PIV) to study the 3-D structure of thermocapillary convection associated with a hydrothermal wave (HTW). In addition, the experimental results were compared with 3-D numerical results obtained in this study to confirm the appropriateness of the periodic boundary conditions applied to lateral walls, which are frequently used in simulations. In our experiments and numerical simulations, a silicone oil with a Prandtl number of 16.1 was employed to form a liquid layer in a rectangular slot with uniform thickness. Consequently, the 3-D velocity profiles of the thermocapillary convection associated with HTW could be successfully reconstructed using stereoscopic PIV. Moreover, the experimental and numerical profile reconstructions were almost identical in a streamwise velocity; however, a spanwise velocity exhibited especially variations owing to the spanwise boundary conditions. Thus, the results of the current study suggested that spanwise walls could be introduced as the spanwise boundary condition for a more exact simulation of the thermocapillary convection related to HTW.

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Available from the corresponding author upon reasonable request.

Code Availability

Custom code for OPENFOAM®

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Acknowledgements

This study was financially supported by the Japan Society for the Promotion of Science (JSPS) KAKENHI (Grant-in-Aid for Young Scientists (B), 17K14611). We are grateful to Dr. Taishi Yano (Kanagawa University) and Mr. Keiichi Omori (Flowtech Research Inc.) for their helpful advice on the construction of a stereoscopic PIV system.

Funding

Japan Society for the Promotion of Science (JSPS) KAKENHI (Grant-in-Aid for Young Scientists (B), 17K14611).

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Authors and Affiliations

  1. Mechanical Systems Engineering Program, Monozukuri Engineering Department, Tokyo Metropolitan College of Industrial Technology, 10-40, Higashi-oi, 1-chome, Shinagawa City, Tokyo, 140-0011, Japan

    Masaki Kudo & Hiroyuki Nakagawa

  2. Department of Mechanical Engineering, Yokohama National University, 79-5 Tokiwadai, Hodogaya-ku, Yokohama City, Kanagawa, 240-8501, Japan

    Koichi Nishino

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  1. Masaki Kudo
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  2. Hiroyuki Nakagawa
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  3. Koichi Nishino
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Contributions

*Masaki Kudo: Conceptualization, Methodology, Resources, Formal analysis and Investigation, Writing-Original Draft, Supervision, Project administration, Funding acquisition Hiroyuki Nakagawa: Formal analysis and Investigation, Writing-Review &Editing Koichi Nishino: Resources, Supervision, Writing-Review & Editing.

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Correspondence to Masaki Kudo.

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Kudo, M., Nakagawa, H. & Nishino, K. Comparative Analysis of PIV and CFD Results for Unsteady Thermocapillary Convection in Thin-film Liquids. Microgravity Sci. Technol. 33, 63 (2021). https://doi.org/10.1007/s12217-021-09904-5

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