Abstract
We consider the problem of bottom influence during horizontal hydrodynamic impact of a spherical solid body of diameter 2a which is half submerged in a liquid layer of finite depth. The sphere is subjected to the action of a shock pulse, as a result of which it acquires an initial translational velocity u directed along the x-axis.
The influence of the spherical bottom on the sphere impact phenomenon was first studied by Zhukovskii [1]. Vertical impact in a layer of finite thickness was considered in [2]; horizontal impact in a halfspace was examined in [3].
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References
N. E. Zhukovskii, “The impact of two spheres, one of which floats in liquid,” Collected Works, Vol. 2, [in Russian], Gosizdat, 1949.
L. S. Vorovich, “Vertical impact of a sphere half immersed in a liquid of finite depth,” Izv. AN SSSR, MZhG [Fluid Dynamics], no. 4, 1966.
E. L. Blokh, “Horizontal hydrodynamic impact of a sphere in the presence of a free surface,” PMM, vol. 17, no. 5, 1953.
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Vorovich, L.S. Horizontal impact of a sphere half immersed in a liquid of finite depth. Fluid Dyn 3, 21–24 (1968). https://doi.org/10.1007/BF01013545
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DOI: https://doi.org/10.1007/BF01013545