球の造波抵抗に對する淺水影響の計算

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In the following paper, the author investigates mathematically the wave resistance of a sphere moving parallel to the free surface of a shallow sea. Correcting the errors committed by T.H. Havelock and others, he has obtained a new formula, and has carried out numerical calculations, the results of which are shown in several diagrams. The new formula is [numerical formula] where R=the wave resistance A=ρga^3 a=the radius of the sphere ρ=the density of the fluid g=the acceteration due to gravity c=the velocity of the sphere h=the depth of the fluid f_1=the immersion of the sphere f_2=the immersion of the image of the sphere or=2h-f_2 K and φ_0,the lower limit of integration, are to satisfy the following relations respectively. Kc^2=g sec^2 φ tanh Kh (c^2<gh sec^2 φ) [numerical formula] Finally, the author makes some discussions on the results obtained, especially on the diagrams, and compares them with certain experimental ones.
社団法人日本船舶海洋工学会の論文