底面の熱的コントラストによる水平対流の相似解(都市・ヒートアイランド(2),一般講演)

概要

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We have been studying time-evolution of two-dimensional horizontal convection due to thermal contrast at the bottom of a fluid. In the case of cooling with fixed temperature on the semi-infinite part of the bottom, there exist three types of self-similar solutions (Mori and Niino, 2002). And the time-evolution of the horizontal convection is successfully described by those solutions and the transitions between them. In addition, they showed that the steady horizontal convections caused by the temperature difference at the bottom can be re-interpreted by those solutions (Mori and Niino, 2002 and Niino, et al., 2006). We have found that the discussion can be extended to other types of boundary conditions. There exist three types of self-similar solutions, when the temperature at the semi-infinite part of the bottom is proportional to t^q, where t is elapsed time and q is a certain constant. These sets of self-similar solutions includes those for constant temperature condition and constant heat flux condition which can be derived by substituting q=0 and 1/2, respectively.
日本流体力学会の論文
2007-08-06