STRAIGHTENING EXPANSIONS OF GAS FROM VORTEX WITH LINEAR VELOCITY FIELD

被引：0

作者：

Yulmukhametova, Yu. V. ^{[1
,2
]}

机构：

[1] Ufa State Aviat Tech Univ, Lab Grp Anal Math Models Nat Sci Engn & Technol, 12 Karl Marx Str, Ufa 450000, Russia

[2] RAS, Inst Mech, Lab Differential Equat Mech, Ufa 450054, Russia

来源：

UFA MATHEMATICAL JOURNAL | 2012年 / 4卷 / 04期

关键词：

gas dynamics; submodel; approximate solution; radial expansion;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider a submodel of the gas with a linear velocity field. It is described by a system of nonlinear differential equations with initial data. Several first integrals of the system are obtained. As a result the order of the system is reduced. An approximate solution of differential equations of the submodel is obtained for special initial data of the problem. Such a solution corresponds to world lines describing the radial expansion of the gas particles from the vortex. Trajectories of motion of gas particles are constructed.

引用

页码：157 / 173

页数：17

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