Short notes

Approximate analytical solution to the transcendental equation describing the heat dissipation of a gas bubble pulsating in liquid

N. S. Khabeev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A method of approximate solution of characteristic equation describing the heat dissipation during oscillations of bubbles in a liquid is presented in this article. An analytic formula for damping decrement is derived.

Key words: gas bubble, oscillations, characteristic equation.

UDC: 532.529

Received: 02.04.2025

DOI: 10.55959/MSU0579-9368-1-66-4-15

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2025, 80:4, 184–186