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
收藏
页码：1630 / 1639
页数：10
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