典型文献
Sedimentation motion of sand particles in moving water (Ⅰ): The resistance on a small sphere moving in non-uniform flow
文献摘要：
In hydraulics, when we deal with the problem of sand particles moving relative to the surrounding wa-ter, Stokes' formula of resistance has usually been used to render the velocity of sedimentation of the particles. But such an approach has not been proved rigorously, and its accuracy must be carefully con-sidered. In this paper, we discuss the problem of a sphere moving in a non-uniform flow field, on the basis of the fundamental theory of hydrodynamics. We introduce two assumptions: i) the diameter of the sphere is much smaller than the linear dimension of the flow field, and ii) the velocity of the sphere relative to the surrounding water is very small. Using these two assumptions, we solve the linearized Navier-Stokes equations and equations of continuity by the method of Laplace transform, and finally we obtain a formula for the resistance acting on a sphere moving in a non-uniform flow field.
文献关键词：
中图分类号：
作者姓名：
Shu-Tang Tsai
作者机构：
Institute of Mechanics,Academia Sinica(Chinese Academy of Sciences),Beijing 100190,China
文献出处：
引用格式：
[1]Shu-Tang Tsai-.Sedimentation motion of sand particles in moving water (Ⅰ): The resistance on a small sphere moving in non-uniform flow)[J].力学快报（英文）,2022(06):432-437
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B类：
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AB值：
0.524531
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