谷一郎先生が遺された二つの研究課題

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  • Two research problems left by Professor Itiro Tani

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第41回「境界層遷移の解明と制御」研究会（2007年10月4日-10月5日）

During half a century since the end of the War in 1945 to that of his life in 1990, Professor Itiro Tani has been the most respectful senior of mine in scientific research as well as in academic life, but there have been only limited direct contacts between us, an experimentalist and a theoretician. The first contact happened in the early 50th when I noted in his survey article that Millionshchikov (1941) and Chou (1940) dealt with homogeneous isotropic turbulence by making use of the 'quasi-normal approximation'. At that time I was looking for a proper method of closure and asked him to let me know more about these works, but this was not available due to the poor state of communication after the War. Then, I determined to attack this problem myself and actually worked out those results published in Tatsumi (1957). The second contact was again made by his report (1990) on the 'turbulent secondary flow' made in the turbulent flow through a rectangular duct with arbitrary aspect-ratio which he related with the instability of the corresponding laminar flow. At that time, I was working on the latter problem and going to publish a joint paper with Yoshimura (1990) including the critical aspect-ratio of 3.2 for the instability. To my deep regret, I failed to let him know these results while he was alive. Now, it may be appropriate to revisit these topics and look for further developments in turbulence research, which have grown up to non-equilibrium statistical mechanics of turbulence, covering both large-scale components in various flows and small-scale ones in a universal local equilibrium.

資料番号: AA0064237005

レポート番号: JAXA-SP-08-006

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