DIFFERENTIALLY INVARIANT SOLUTIONS OF EQUATIONS OF PLANE STEADY FLOWS OF A VISCOUS HEAT-CONDUCTING PERFECT GAS WITH A POLYTROPIC EQUATION OF STATE

V. V. Bublik

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DIFFERENTIALLY INVARIANT SOLUTIONS OF EQUATIONS OF PLANE STEADY FLOWS OF A VISCOUS HEAT-CONDUCTING PERFECT GAS WITH A POLYTROPIC EQUATION OF STATE

机译：带有状态方程的粘性导热导热气体平面稳态流动方程的微分不变解

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摘要

A system of Navier-Stokes equations for two-dimensional steady flows of a viscous heat-conducting perfect gas with a polytropic equation of state is considered. Differentially invariant solutions of this system are studied. Bases of differential invariants and operators of invariant differentiation are constructed for all subgroups of the admitted group. Examples of new differentially invariant solutions are obtained.

机译：考虑了具有多态状态方程的粘性导热完美气体的二维稳态流的Navier-Stokes方程组。研究了该系统的微分不变解。为接纳组的所有子组构造微分不变式的基础和不变微分的算子。获得了新的微分不变解的示例。

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来源
《Journal of Applied Mechanics and Technical Physics》 |2012年第2期|p.156-161|共6页
作者
V. V. Bublik;
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作者单位

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia;

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正文语种 eng
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关键词
dynamics of a viscous heat-conducting gas; differentially invariant solutions;

机译：粘性导热气体的动力学微分不变解;

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1. Exact Solutions to the Steady Navier-Stokes Equations of Viscous Heat-Conducting Gas Flow Induced by the Plane Jet Issuing from the Line Source [J] . Brutyan M. A., Krapivsky P. L. Fluid Dynamics . 2018,第Suppla2期

机译：从线源发出的平面射流引起的粘性导热气体流量的稳定Navier-Stokes方程的精确解决方案
2. REGULAR PARTIALLY INVARIANT SOLUTIONS OF RANK 0 AND DEFECT 1 OF EQUATIONS OF AXISYMMETRIC MOTIONS OF A VISCOUS HEAT-CONDUCTING PERFECT GAS [J] . D. M. Dobrikov Journal of Applied Mechanics and Technical Physics . 2002,第6期

机译：粘性导热导热气体轴对称运动方程的第0级和第1级偏差的正则不变解
3. REGULAR, PARTIALLY INVARIANT SOLUTIONS OF RANK 1 AND DEFECT 1 OF EQUATIONS OF PLANE MOTION OF A VISCOUS HEAT-CONDUCTING GAS [J] . V. V. Bublik Journal of Applied Mechanics and Technical Physics . 2006,第6期

机译：粘性导热气体平面运动方程式第1和第1阶的正规，部分不变解
4. ON INVARIANT SOLUTIONS TO THE SECOND-ORDER EQUATION OF INVISCID GAS FLOW [C] . Alexander I. Kozlov International Congress on Sound and Vibration . 2017

机译：对INCISCID气流二阶方程的不变解
5. SOLUTION OF THE VISCOUS SHOCK LAYER EQUATIONS INCORPORATING CHEMICAL EQUILIBRIUM REACTING GAS EQUATIONS AND TURBULENCE. [D] . DENYSYK, BOHDAN. 1981

机译：包含化学平衡反应气体方程和湍流的粘性冲击层方程的解决方案。
6. Invariant Differential Forms in Several Group Variables as Solutions of Partial Differential Equations in Fréchet Differentials [O] . Aristotle D. Michal 1951

机译：Fréchet微分方程中偏微分方程解的几个组变量的不变微分形式
7. Free-boundary problem of the equations for flows of viscous heat-conducting and self-gravitating gas (Mathematical Analysis in Fluid and Gas Dynamics) [O] . Umehara Morimichi 2014

机译：粘性导热和自重气体流动方程的自由边界问题（流体和气体动力学中的数学分析）

DIFFERENTIALLY INVARIANT SOLUTIONS OF EQUATIONS OF PLANE STEADY FLOWS OF A VISCOUS HEAT-CONDUCTING PERFECT GAS WITH A POLYTROPIC EQUATION OF STATE

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