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Nieliniowa fala biegnąca w warstwie

100%

Major I. , Major M.

Budownictwo o Zoptymalizowanym Potencjale Energetycznym

2008

tom nr (5)

215--220

This paper presents the analysis of nonlinear traveling waves in a thin layer composed of hyperelastic. Zahorski and Mooney-Rivlin materials. To classify the different solutions for traveling waves that are possible the phase plane methods in used.

An effect of electrokinetics phenomena on nonlinear wave propagation in bubbly liquids

63%

Panahov G. , Abbasov E. , Bakhtiyarov S. , Museibli P.

International Journal of Applied Mechanics and Engineering

2021

tom Vol. 26, no. 3

177--186

A study of nonlinear waves in liquid-gas mixtures with the consideration of internal effects is an important problem of both the fundamental and the applied fluid mechanics. Investigation of nonlinear waves in the gas-liquid mixtures with allowance for internal effects is an important task of both fundamental and applied fluid mechanics. These problems often arise in industrial processes such as oil and gas production, hydrocarbons pipeline transportation, gas-saturated fluids flow in pipelines, etc. In this work, we investigate the effect of the internal electric field on the nonlinear wave propagation in a bubbly liquid. Numerical simulations have been conducted to study the nonlinear waves described by the nonlinear Burgers-Korteweg-de Vries equation. The numerical simulations showed that the electrokinetic processes significantly affect the wave propagation process. The amplitude of the waves gradually decreases when the size of the gas bubble is decreasing and the electrical potential increases. A good agreement of obtained results with our previous predictions is found.

Electron plasma upper hybrid kinetic symmetries

51%

Taranov V. B. , Zawistowski Z. J.

Journal of Technical Physics

2003

tom Vol. 44, no 3

303-309

Symmetry group of integro-difFerential equations describing nonlinear upper hybrid waves in magnetized electron plasma is found. It is shown that the extension of the symmetry in the cold plasma limit allows us to build the general solution in this case.