2015 Fiscal Year Final Research Report
Mathematical Analysis of indices of mixing efficiency of fluids based on the characteristics of velocity fields
| Project/Area Number |
25390154
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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 |
Computational science
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Keywords | カオス / 流体混合 / 速度場の対称性 / 熱対流 / 水面波 |
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| Outline of Final Research Achievements |
Three-dimensional steady velocity field of thermal convection of a fluid in a rectangular container due to the increase in the vertical gradient of external temperature and the motion of fluid particles under this velocity are examined for non-inclined and inclined containers. The relation between the inclination of the container and the symmetry of velocity fields or the characteristics of the motion of fluid particles is examined with a numerical method of high accuracy. We obtain a close relation between the existence of chaotic motion and the symmetries of velocity fields. Therefore, the symmetry of velocity fields is one of the important indices of efficiency of fluid mixing.
Fluid motions associated with water waves excited by the resonant motions of a rectangular container are examined. We obtain the conditions for the container's motion under which the three-dimensional velocity fields caused by the motion are time-periodic, quasi-periodic or chaotic.
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| Free Research Field |
数理流体力学
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