完全流體中に任意運動せる二つの圓筒間に働く力の近似計算に就て

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Assuming the fluid perfect, the general expressions ((6) and (9) in the text) are obtained for the forces and moments, which act on the body immersed in the fluid, when the motion is not steady. Applying these formulae in two dimensional cases, the forces on one circular cylinder are approximately calculated by the image method, when there exist two circular cylinders, which may be moving with any velocity in any direct on respectively. The forces consist in two parts. the one (P_<(1)>) due to the instantaneous stream line condition, the other (P_<(2)>) due to the unsteady condition of flow, that is, to the rate of change of velocity potential on the surface of the cylinder. The forces on one cylinder (I) are as follows, x-axis being taken so as to coincide with the direction of velocity of circle (I), and the origin fixed at the centre of that circle. (See Fig. A, page 7) Px_<(1)>=4πρα_1U_1^2φ^2{-ψσ^3cos(3γ_0-η)+(1+ψ^2φ^2)σ^5cosη_0} Py^<(1)>=4πρα_1U_1^2φ^2{-ψσ^3sin(3γ_0-η)+(1+ψ^2φ^2)σ^5sinη_0} Px_<(2)>=2πρα_1U_1^2φ^2{-2ψ[ψcos(3γ_0-2η)-cos(3γ_0-η)]+3σ^5[ψcos(γ_0-η)-cosγ_0]} Py_<(2)>=2πρα_1U_1^2φ^2{-2ψσ[ψsin(3γ_0-27)-sin(3γ_0-η)] Where ψ=U_2/U_1,φ=α_2/α_1,ρ : density of fluid, σ=α_1/d. These expressions are valid only for moderate φ, and for the case of large α_2 compared with α_1,the other formulae are obtained. From these results, several simple cases are considered and the forces are evaluated. The further development from this study is to cover the calculation of the interacting forces and moments between two stream line bodies.
社団法人日本船舶海洋工学会の論文
1934-11-20

著者

渡邊惠弘
九州大学

完全流體中に任意運動せる二つの圓筒間に働く力の近似計算に就て

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