关于一个粗糙球体的虚质量

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2017.12.006

O.B. Gus’kov

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引用次数: 3

摘要

在由分布在球体表面上的大量小颗粒形成的颗粒粗糙度模型的框架内，考虑了静止理想流体中球体及其表面附着的球形颗粒的加速联合运动。利用自洽场法，得到了粗糙球的虚质量与晶粒尺寸及其在球面上的分布的函数表达式。对于晶粒在球面上的统计均匀分布，粗糙球体的虚质量均值与晶粒尺寸的依赖关系在其体积分数的第一次近似中确定。

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On the virtual mass of a rough sphere

Within the framework of the model of granular roughness formed by a large number of small grains distributed over the surface of a sphere, the accelerated combined motion of the sphere and the spherical grains attached to its surface in a resting ideal fluid is considered. Using the self-consistent field method, an expression is obtained for the virtual mass of the rough sphere as a function of the size of the grains and their distribution over the sphere surface. For a statistically uniform distribution of the grains over the sphere surface, the dependence of the mean value of the virtual mass of the rough sphere on the grain size is determined in the first approximation in their volume fraction.

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.