Gas-dynamic analogy in the theory of stratified liquid flows with a free boundary

被引：0

作者：

V. M. Teshukov

机构：

来源：

Fluid Dynamics | 2007年 / 42卷

关键词：

long-wave approximation; stratified fluid; shear flow; free boundary; shallow water; gasdynamic analogy;

D O I：

暂无

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学科分类号：

摘要：

Novel approximate mathematical models of long-wave theory describing flows of a density-stratified liquid with a free boundary are proposed. It is shown that in certain cases the equations of the novel models coincide with either the equations of nonisentropic gas dynamics with a polytropic equation of state for γ = 2 or the equations describing the dynamics of a mixture of two perfect gases.

引用

页码：807 / 817

页数：10

共 5 条

[1]

Gavrilyuk S.L.(2001)Generalized Vorticity for Bubbly Liquid and Dispersive Shallow Water Equations Contin. Mech. Thermodyn. 13 365-382

[2]

Teshukov V.M.(2002)Kinetic Model for the Motion of Compressible Bubbles in a Perfect Fluid Europ. J. Mech. B/Fluids 21 469-491

[3]

Teshukov V.M.(2007)Gas-Dynamic Analogy for Vortex Flows with a Free Boundary Zh. Prikl. Mekh. Tekhn. Fiz 48 8-15

[4]

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[5]

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