圓柱を過ぎるViscous Shear Flow

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Viscous shear flows around a circular cylinder are studied to the second Stokes' approximation. With Stokes' approximation, the boundary condition at infinity cannot be satisfied, so that in this paper the condition is replaced by the requirement that the viscous and perfect fluid solutions should be smoothly joined with each other on a circle r=R (R being large but finite). The appropriate value of R cannot be given theoretically, but it seems natural to expect that R would be a decreasing function of the Reynolds number ℜ. Therefore, two simple relations are suggested : (i) R=A/ℜ, (ii) R= B/√<ℜ> (A, B being constants). The lift and drag coefficients thus calculated are graphically shown in Figs. 1 and 2. As numerical examples the cases ℜ=2; α=0. 0.1, 0.5, (the undisturbed velocity being given by 1+αy) are chosen with R=10, and flow patterns and pressure and vorticity distributions are given in Figs.3-5, 6, 7 respectively. It is to be noted that as shown in Fig.8 the pressure distribution for the uniform flow (α=0) is in good agreement with that obtained with Oseen's approximation. (Received March 13, 1952)
宇宙航空研究開発機構の論文
1952-04-30