Nonlocal Conservation Law in a Free Submerged Jet

被引：1

作者：

Gaifullin, A. M. ^{[1
]}

Zhvik, V. V. ^{[1
]}

机构：

[1] Cent Aerohydrodynam Inst, Zhukovskii 140180, Moscow Oblast, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2021年 / 61卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

conservation law; submerged jet; asymptotics; invariant; ASYMPTOTICS;

D O I：

10.1134/S0965542521100043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A free axisymmetric nonswirling submerged jet of viscous incompressible fluid is considered. For large Reynolds numbers, the unknown constant in the asymptotic Landau-Rumer-Gol'dshtik-Yavorsky solution to the Navier-Stokes equations that describes the far jet field is determined. A similar constant in Loitsyanskii's solution in the boundary layer approximation is found. These constants are expressed in terms of the distribution of velocity in the jet source using a nonlocal conservation law.

引用

页码：1630 / 1639

页数：10

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