FORCES ON A SPHERE ACCELERATING IN A VISCOUS FLUID
FORCES ON A SPHERE ACCELERATING IN A VISCOUS FLUID
复制标题
DOI：
10.1017/s0022112064000210
复制
发表时间：
1964-01-01
影响因子：
3.7
通讯作者：
HAMILTON, WS
中科院分区：
文献类型：
--
作者：
ODAR, F;HAMILTON, WS
提出了一个详细的方程，用于描述施加在球体上的力，该球体在静止的流体中直线加速。除了浮力之外，流体还施加取决于 (a) 球体速度、(b) 球体加速度和 (c) 运动历史的力。该方程简化为低速度和大加速度的已知理论解。对所提出的方程进行了测试，发现对于速度不小的特定情况（即）最令人满意。沿直线简谐振动的情况。方程中的加速度（增加的质量）和历史系数通过实验评估。研究发现它们取决于对流加速度与由参数 V2/aD 测量的局部加速度之比，其中 V、a 和 D 分别是球体的速度、加速度和直径。测试期间雷诺数在 0 到 62 之间变化。
A detailed equation is proposed for the force exerted on a sphere that accelerates rectilinearly in an otherwise still fluid. In addition to the buoyant force, the fluid exerts forces that depend on (a) the velocity of the sphere, (b) the acceleration of the sphere and (c) the history of the motion. The equation reduces to the known theoretical solution for low velocity and large acceleration.The proposed equation was tested and found most satisfactory for a particular case in which the velocity was not small, viz. the case of simple harmonic motion along a straight line. The acceleration (added mass) and history coefficients in the equation were evaluated experimentally. They were found to depend on the ratio of the convective acceleration to the local acceleration as measured by the parameter V2/aD, in which V, a and D are the velocity, acceleration and diameter of the sphere, respectively. The Reynolds numbers varied from 0 to 62 during the tests.