Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer

被引:91
作者
Kudryashov, Nikolai A. [1 ]
Sinelshchikov, Dmitry I. [1 ]
机构
[1] Natl Res Nucl Univ, MEPHI, Dept Appl Math, Moscow 115409, Russia
关键词
Liquid with gas bubbles; Nonlinear evolution equation; Nonlinear ordinary differential equation; Exact solution; Simplest equation method; DIFFERENTIAL-EQUATIONS; GAS-BUBBLE; DYNAMICS; MIXTURES; MOTION;
D O I
10.1016/j.physleta.2010.02.067
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Nonlinear waves are studied in a mixture of liquid and gas bubbles. Influence of viscosity and heat transfer is taken into consideration on propagation of the pressure waves. Nonlinear evolution equations of the second and the third order for describing nonlinear waves in gas-liquid mixtures are derived. Exact solutions of these nonlinear evolution equations are found. Properties of nonlinear waves in a liquid with gas bubbles are discussed. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:2011 / 2016
页数:6
相关论文
共 35 条
[11]   On the propagation of transient acoustic waves in isothermal bubbly liquids [J].
Jordan, PM ;
Feuillade, C .
PHYSICS LETTERS A, 2006, 350 (1-2) :56-62
[12]  
Korteweg D J., 1895, PHILOS MAG, V5, P422, DOI [10.1080/14786449508620739, DOI 10.1080/14786449508620739]
[13]   Nonlinear Waves in Fluid Flow through a Viscoelastic Tube [J].
Kudryashov, N. A. ;
Chernyavskii, I. L. .
FLUID DYNAMICS, 2006, 41 (01) :49-62
[14]   EXACT-SOLUTIONS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION [J].
KUDRYASHOV, NA .
PHYSICS LETTERS A, 1990, 147 (5-6) :287-291
[15]  
KUDRYASHOV NA, 1988, PMM-J APPL MATH MEC+, V52, P361
[16]   Exact solitary waves of the Fisher equation [J].
Kudryashov, NA .
PHYSICS LETTERS A, 2005, 342 (1-2) :99-106
[17]   Extended simplest equation method for nonlinear differential equations [J].
Kudryashov, Nikolai A. ;
Loguinova, Nadejda B. .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 205 (01) :396-402
[18]   Polygons of differential equations for finding exact solutions [J].
Kudryashov, Nikolai A. ;
Demina, Maria V. .
CHAOS SOLITONS & FRACTALS, 2007, 33 (05) :1480-1496
[19]   Seven common errors in finding exact solutions of nonlinear differential equations [J].
Kudryashov, Nikolai A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (9-10) :3507-3529
[20]   Be careful with the Exp-function method [J].
Kudryashov, Nikolai A. ;
Loguinova, Nadejda B. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (05) :1881-1890