Joint development of theories of plastic flows and turbulence pivoted on tensorial statistical quantities in Lagrangian description

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K05213
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Tottori University
• Principal Investigator: OOSHIDA Takeshi 鳥取大学, 工学研究科, 助教 (50294343)
• Co-Investigator(Kenkyū-buntansha): 後藤 晋 大阪大学, 基礎工学研究科, 教授 (40321616) ; 松本 剛 京都大学, 理学研究科, 助教 (20346076) ; 大槻 道夫 島根大学, 総合理工学研究科, 講師 (30456751)
• Co-Investigator(Renkei-kenkyūsha): KITSUNEZAKI So 奈良女子大学, 自然科学系, 准教授 (00301284)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: ラグランジュ記述 / 変位相関テンソル / 伸長率相関 / 乱流 / コロイド系 / 一列縦隊拡散 / モード結合理論 / 揺動応答関係式

Outline of Final Research Achievements

As a basic study on mechanism of solidification and fluidization of non-crystalline materials, commonly encountered as foods and cosmetics, a theoretical investigation was performed on collective motions of particles in colloidal systems (typically consisting of numerous small particles dispersed in water). Application of methods borrowed from theories of fluid turbulence to colloidal systems has allowed construction of a theoretical framework for considering the directionality of motion of the particles, without causing inconsistency in regard to the relation between the endogenous and exogenous motions. As a result, a vortical motion of colloidal particles was successfully reproduced by the theory.

Free Research Field

物理学（特に流体物理学およびレオロジー）