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

TL;DR

This paper investigates nonlinear wave propagation in bubbly liquids, incorporating viscosity and heat transfer effects, deriving evolution equations, and providing exact solutions to understand wave behavior in such mixtures.

Contribution

It introduces new nonlinear evolution equations accounting for viscosity and heat transfer, with exact solutions, advancing the modeling of nonlinear waves in bubbly liquids.

Findings

Derived second and third order nonlinear evolution equations.

Obtained exact solutions for these equations.

Discussed properties of nonlinear waves in bubbly liquids.

Abstract

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.