平行板の乱流

概要

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In this paper the author tries to explain the existence of Laminar Sub-layer and the crytical Reynolds number from laminar to turbulent state, based on QUANTUM MECHANICS of TURBULENCE. The principal results have been obtained as follows : (1) Spin effect of Turbulence-Element causes Laminar Sub-layer which is discussed in the 2nd paragraph. (2) The Width of Laminar Sub-layer δ is represented by (3.16) and in Fig 5. (3) The coefficient of resistance C_D is represented by (3.20) or (3.23) and in Fig 6. (4) The velocity distribution is given by (3.14), (3.15) and in Fig 3, Fig 4. (5) The crytical Reynolds number R_c = 2660. Where, in these equations 2h is the distance between parallel plates, U the center velocity, τ_0 the resistance force per unit area, μ the coefficient of viscosity, ρ the density of fluid and τ is Turblence- Quantum. R = 2uh/v . τ_0 = 1/2ρU^2C_D , τ/μ = 82.6 per sec, R=τ/πμ・√2n+1・s_0 , v = μ/ ρ wherc s_0 the Ist root (maximum magnitude), s_1 the 2nd root in Hermite series of nth order and n means the order of Hermite series. Numerical values for s_0, s_1 and R are represented in Fig 2. These equations are pure theoretical formula and do not contain any adjustable constant by experiment, exept the equation (3.23).
山形大学の論文
1950-09-30