Propagation of nonlinear acoustic fields in thermoviscous porous media

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60077344%3A_____%2F25%3A00646937" target="_blank" >RIV/60077344:_____/25:00646937 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/60076658:12310/25:43910087

Výsledek na webu

<a href="https://doi.org/10.1080/01495739.2025.2473744" target="_blank" >https://doi.org/10.1080/01495739.2025.2473744</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/01495739.2025.2473744" target="_blank" >10.1080/01495739.2025.2473744</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Propagation of nonlinear acoustic fields in thermoviscous porous media

Popis výsledku v původním jazyce

A family of generalized Khokhlov-Zabolotskaya-Kuznetsov (KZK) equations, which is used in the study of the propagation of the sound beam and high-intensity focused ultrasound in a non-linear medium with dissipation and dispersion, is introduced. The new set of KZK equations, including the two-dimensional Zabolotskaya (K) used to describe the propagation of shear waves in nonlinear solids and the two-dimensional Zabolotskaya-Khokhlov (ZK) equations describing the propagation of weakly two-dimensional diffracting sound beams, are all reformulated in fractal dimensions based on the 'product-like fractal geometry' approach. This approach has been introduced by Li and Ostoja-Starzewski in their analysis of nonlinear fractal dynamics in porous media. The set of nonlinear wave equations has been generalized by taking into account a nonlocal kernel due to its motivating implications in nonlinear acoustic wave theory. The solutions of particular algebraic equations in fractal dimensions have been obtained, and solitary wave solutions have been detected. Further details have been discussed accordingly.

Název v anglickém jazyce

Propagation of nonlinear acoustic fields in thermoviscous porous media

Popis výsledku anglicky

A family of generalized Khokhlov-Zabolotskaya-Kuznetsov (KZK) equations, which is used in the study of the propagation of the sound beam and high-intensity focused ultrasound in a non-linear medium with dissipation and dispersion, is introduced. The new set of KZK equations, including the two-dimensional Zabolotskaya (K) used to describe the propagation of shear waves in nonlinear solids and the two-dimensional Zabolotskaya-Khokhlov (ZK) equations describing the propagation of weakly two-dimensional diffracting sound beams, are all reformulated in fractal dimensions based on the 'product-like fractal geometry' approach. This approach has been introduced by Li and Ostoja-Starzewski in their analysis of nonlinear fractal dynamics in porous media. The set of nonlinear wave equations has been generalized by taking into account a nonlocal kernel due to its motivating implications in nonlinear acoustic wave theory. The solutions of particular algebraic equations in fractal dimensions have been obtained, and solitary wave solutions have been detected. Further details have been discussed accordingly.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Projekt

<a href="/cs/project/QK22020134" target="_blank" >QK22020134: Inovativní rybářský management velké nádrže</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

JOURNAL OF THERMAL STRESSES

ISSN

0149-5739

e-ISSN

1521-074X

Svazek periodika

48

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

23

Strana od-do

338-360

Kód UT WoS článku

001443435600001

EID výsledku v databázi Scopus

2-s2.0-105002587799