Development of a Reduced Model for Achieving High Suppression Control of Oscillatory Thermocapillary Convection

2023 Fiscal Year Final Research Report

• Project/Area Number: 21K03885
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 19010:Fluid engineering-related
• Research Institution: Tokyo Metropolitan College of Industrial Technology
• Principal Investigator: Kudo Masaki 東京都立産業技術高等専門学校, ものづくり工学科, 准教授 (60634524)
• Co-Investigator(Kenkyū-buntansha): 福永 修一 東京都立産業技術高等専門学校, ものづくり工学科, 准教授 (70402518)
• Project Period (FY): 2021-04-01 – 2024-03-31
• Keywords: 表面張力差対流 / 次元縮約モデル / 3次元粒子画像流速計測法 / モデル化誤差の低減 / 動的モード分解 / 拡張カルマンフィルタ

Outline of Final Research Achievements

In the zone melting processing, which is a manufacturing technique for high-quality bulk single crystals, defects occur in the single crystal due to oscillatory thermocapillary convection, making it difficult to achieve high yield and reduce costs. Therefore, this study aims to establish a control method that can significantly suppress oscillatory thermocapillary convection by developing a reduced order model (ROM).
As a result, we successfully developed a Galerkin-ROM. We also obtained high-accuracy and high-volume flow velocity and temperature data for use in the ROM. Furthermore, we reduced the modeling errors of the ROM. Finally, we succeeded in improving dynamic mode decomposition, one of the methods for constructing ROMs, and the extended Kalman filter, one of the methods for predicting flow fields."

Free Research Field

熱工学，流体工学

Academic Significance and Societal Importance of the Research Achievements

本研究では，実物の振動マランゴニ対流を対象として高精度なフィードフォワード制御を実装するという点から，マランゴニ対流のみとどまらず，流体工学分野の発展に学術的に大きく貢献するものである．またゾーンメルト法の高度化により，高品位の単結晶が高い歩留まり率でできることになれば、工業的にも大きく貢献するものである．