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2016 Fiscal Year Final Research Report

Development of turbulence analysis method with incorporation of covariant elements

Research Project

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Project/Area Number 26420103
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Fluid engineering
Research InstitutionTokyo Institute of Technology

Principal Investigator

Horiuti Kiyosi  東京工業大学, 工学院, 准教授 (10173626)

Research Collaborator Schumacher J.  Technishe Universität Ilmenau, Department of Mechanical Engineering, Professor
Project Period (FY) 2014-04-01 – 2017-03-31
Keywords反変性、共変性 / 高分子添加溶液 / MHD / スカラー伝達 / 多重スケール解析
Outline of Final Research Achievements

We conduct multi-scale study on energy transfer due to polymers dispersed in homogeneous isotropic turbulence in elasto-inertial regime (EIT). Effect of non-affinity with macroscopically-imposed deformation in the motion of polymers is examined by connecting mesoscopic Brownian dynamics of dumbbells to DNS for solvent. The dumbbells are allowed to be advected either affinely (contravariant) or completely non-affinely (covariant). The relaxation time of polymer is in the order of eddy turnover time. Contravariant polymers drain more energy from the large scales than they can dissipate and transfer the excess energy back into the solvent when they are highly-stretched. The skewness of strain-rate tensor in the production term for elastic energy and dissipation rate transfer elastic energy back into the smallest scale of the solvent and increase the dissipation. In the covariant polymers, this backward transfer is eliminated and elastic energy is retained when highly stretched

Free Research Field

流体工学

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Published: 2018-03-22  

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