On Edwards' Fokker-Planck Approach and Kolmogoroff's Spectrum
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概要
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The present paper reexamines Edward's Fokker-Planck approach for steady homogeneous turbulence, based on turbulent viscosity and turbulent diffusion (S. F. Edwards: J. Fluid Mech. 18 (1964) 239). The energy equation found by Edwards by the use of the probability distribution function is derived using the characteristic function. In dividing the energy equation into the turbulent viscosity and the turbulent diffusion, a disposable function is introduced and made use of so as to eliminate effects of the energy-containing range and the divergence of integrals. This procedure consistently leads to Kolmogoroff's spectrum: E_k=1.49h^<2/3>k^<-5/3>, (h being the rate of energy dissipation and k the wave number). The numerical coefficient 1.49 is in excellent agreement with the experimental value 1.44 observed by Grant et al. (H. L. Grant, R. W. Stewart and A. Moillirt: J. Fluid Mech. 12 (1962) 241).
- 社団法人日本物理学会の論文
- 1976-05-15
著者
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Yoshizawa Akira
Department Of Physics Faculty Of Science University Of Tokyo
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Yoshizawa Akira
Department Of Physics Faculty Of Science University Of Tokyo:(present Address) Institute Of Industri
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Yoshizawa Akira
Department Of Chemistry Faculty Of Science Kanagawa University
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