Development of turbulence analysis method with incorporation of covariant elements
| Project/Area Number |
26420103
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Fluid engineering
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
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| Research Collaborator |
Schumacher J. Technishe Universität Ilmenau, Department of Mechanical Engineering, Professor
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| 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 / 反変性・共変性ベクトル / 粘弾性流体 / 圧縮性流体 / 伝熱場 / 機能性・非機能性要素 / 反変・共変性要素 / 乱流 / 抵抗低減 / スカラー散逸 / Elasto-inertial 乱流 / Pressure dilatation / MHD乱流 / convective derivative / 電流シート |
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| 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
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Report
(4 results)
Research Products
(17 results)
