2012 Fiscal Year Final Research Report
Studies on mathematical aspect of the onset of thermal convection and chaotic mixing
| Project/Area Number |
22560064
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
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| Keywords | 数理流体力学 / 数理工学 / 数理物理 / 熱対流 |
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| Research Abstract |
Onset of thermal convection of a fluid in a rectangular horizontal or inclined container is examined. Here all the walls of container are of perfect thermal conductance, and external temperature field is linearly decreasing upward. By a numerical analysis, the dependences of critical Rayleigh number Rc and the flow structure of most unstable mode on the aspect ratios and inclination angles of container are clarified. Moreover, the characteristics of trajectories of fluid particles in the velocity field of most unstable mode are clarified.
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