Modification of the boundary layer theory for analysis of wave motions in a cylindrical jet of a viscous liquid

被引：4

作者：

Shiryaeva, S. O. ^{[1
]}

机构：

[1] Demidov State Univ, Yaroslavl 150000, Russia

来源：

TECHNICAL PHYSICS | 2008年 / 53卷 / 12期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/S1063784208120037

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

The existent concepts of the boundary layer near the free surface of a viscous liquid, which is related to its periodic motion, are modified with the aim of analyzing the finite-amplitude wave motion on the surface of a thick charged jet of a viscous conducting liquid. To describe the flow in the boundary layer, a model problem is proposed that is simpler in statement compared with the complete problem and the solution of which uses the governing properties of the exact solution obtained in the low-viscosity asymptotics: the form of the dispersion relation, wave profile, and rate of velocity field viscous damping with time. An estimate is made of the boundary layer thickness at which the discrepancy between the exact solution and solution to the model problem (stated in terms of the theory proposed) falls into a given interval in the low-viscosity asymptotics. The domain of applicability of the modified theory is determined.

引用

页码：1541 / 1550

页数：10

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