エネルギ厚さを用いた層流境界層の近似計算法

概要

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A simple method for calculating the laminar boundary-layer has been obtained. The method consists in using the approximate formula for the energy thickness and the diagram which gives the relation between σ^*, ω^* and T^*, where σ^*=θ^<*2>U'/ν, ω^*=σ^<*2>(UU"/U'^2), T^*(τ_0/ρ)×(θ^*/νU). The notations are as follows : θ^*=energy thickness, χ=arc length of the surface of the body, U(χ)=velocitv just outside the boundary-layer, τ_0=shearing stress on the surface of the body, ρ=density of the fluid, ν=kinematic coefficient of viscosity. When U(χ) is given, θ^* is calculated by an approximate formula and the relation between σ^* and ω^* is determined. Then by using the diagram, the values of T^* are found, which giveτ_0 for each point on the surface of the body. Some results obtained by this method coincide satisfactorily with the exact solutions and the results of experiments. As the necessary calculations are simple, this method is useful for the engineering purpose.
一般社団法人日本機械学会の論文
1958-09-25