Group classification of two-dimensional steady viscous gas dynamics equations with arbitrary state equations

2002 ◽  
Vol 35 (15) ◽  
pp. 3515-3533 ◽  
Author(s):  
Sergey V Meleshko
Keyword(s):  
Gas Dynamics ◽  
Group Classification ◽  
Two Dimensional ◽  
State Equations ◽  
Gas Dynamics Equations ◽  
Arbitrary State ◽  
Viscous Gas

scholarly journals METHOD OF ANALOGIES BETWEEN HYDRAULICS OF TWO-DIMENSIONAL WATER FLOWS AND GAS DYNAMICS

2020 ◽  
Vol 8 (2) ◽  
pp. 49-52 ◽  
Author(s):  
Maria Aleksandrova
Keyword(s):  
Gas Dynamics ◽  
Analytical Theory ◽  
Two Dimensional ◽  
Real Potential ◽  
Gas Dynamics Equations ◽  
Water Flows ◽  
Two Dimensional Flows

Real potential two-dimensional flows of practical hydraulics are considered, which can be considered with a certain accuracy as two-dimensional in terms, which confirms the relevance of the work. It is proposed to use the method of analogies when applying gas dynamics equations in hydraulics. An important result was obtained for the development of the analytical theory of two-dimensional potential water flows.

Modeling the evolution of small distortions of the sphericity of a collapsing bubble

2007 ◽  
Vol 5 ◽  
pp. 60-65
Author(s):  
A.A. Aganin ◽  
Т.S. Guseva ◽  
Т.F. Khalitova
Keyword(s):  
Gas Dynamics ◽  
Spherical Shape ◽  
Heat Conducting ◽  
Full Model ◽  
Two Dimensional ◽  
Liquid Motion ◽  
Gas Dynamics Equations ◽  
Simplified Models ◽  
Spherical Component ◽  
Model Based

Results of calculating the evolution of small axisymmetric distortions of the spherical shape of a bubble during its collapse are presented. The full model based on two-dimensional gas dynamics equations (gas and liquid are considered inviscid non-heat-conducting) and a number of simplified models are used. The latter are obtained from the full model by splitting the gas and liquid motion into a spherical component and its small non-spherical perturbation. The differences of the simplified models are defined by the assumptions used in the realization of the splitting.

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