円柱を過ぎる粘性せん断流の近似的な解析解

概要

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The two-dimensional flow of an incompressible viscous fluid past a circular cylinder placed in a uniform shear field is analytically solved with different Oseen's velocity fields considered to avoid the "Garstang paradox". The general solutions of the corresponding velocity consist of the nonsymmetric solution to the Oseen equations and one to the equations of the perfect fluids for shear flows past a circular cylinder. The constants of the above are determined by the viscous condition on a circular cylinder. On the basis of these solutions, the expansion formulae of the stream function, Ψ, and the vorticity, ζ, are obtained up to the fourth power of the Reynolds number, Re. The flow patterns for values of a shear parameter, ε, in the range 0≦ε≦0.5 are depicted by utilizing these expansion formulae. They are shown with good results at low Re. Also, the expansion formulae of the lift, moment, and pressure distribution are obtained up to the fourth power of Re. Lastly, successive approximations for the ε-term based on the above solutions are carried out and discussed in the same manner as in the previous paper.
一般社団法人日本機械学会の論文
1990-08-25