Journal of the Meteorological Society of Japan. Ser. II
Online ISSN : 2186-9057
Print ISSN : 0026-1165
ISSN-L : 0026-1165
On a Theory of Turbulence
K. Takahasi
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1936 Volume 14 Issue 4 Pages 190-197

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Abstract
Two terms were introduced in the usual equation of motion of perfect fluid, one is very small resistance proportional to the velocity, and the other is irregular disturbing force. The diffusion in the turbulence was discussed by means of the above equation, and the result of which is that the diffusion is proportional to time for small value and proportional to square root of time for large value. The differential equation of diffusion, the eddy viscosity and others were also calculated. Lastly, the comparison of the result of the theory with the scattering of balloon in the atmosphere was made, and the order of the new term of resistance was estimated.
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