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

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

2011-12-22

arxiv.org/abs/1112.5436v1

Nonlinear Sciences

Pattern Formation and Solitons

Physics Letters A, Volume 374, Issues 19-20, Pages 2011-2016

Scientific paper

10.1016/j.physleta.2010.02.067

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.

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