Minnaert bubble models

version 1.0.0.0 (4.15 KB) by Chad Greene
Functions to calculate the radius, volume, or acoustic oscillation frequency of a gas bubble.

785 Downloads

Updated Tue, 01 May 2012 08:41:38 +0000

View License

Bundle of three functions:

[fo] = minnaert_freq(r_m,P_Pa,rho_l,nu,Z)
[bub_rad] = minnaert_rad(fo,P_Pa,rho_l,nu,Z)
[bub_vol] = minnaert_vol(fo,P_Pa,rho_l,nu,Z)

r_m = radius of bubble (m)
fo = natural frequency of the bubble in (Hz)
P_Pa = average hydrostatic pressure on the bubble (Pa)
rho_l = density of the liquid surrounding the bubble (kg/m3)
nu = polytropic exponent of the gas bubble (optional input)
Z = compressibility factor of the gas (optional input)

The function minnaert_freq calculates the approximate natural oscillation frequency (sometimes mistakenly referred to as the Minnaert resonance) of a gas bubble. The other functions, minnaert_rad and minnaert_vol return the radius or volume of a bubble given its natural resonance frequency.

The model neglects surface tension (assumes clean bubble of radius > 0.1 mm). For a detailed treatment of the development of these formulas, see

M. Minnaert. On Musical Air-Bubbles and the Sounds of Running Water. Philosophical Magazine, 1933.

C.A. Greene and P.S. Wilson. Laboratory investigation of a passive acoustic method for measurement of underwater gas seep ebullition. JASA Express Letters, Dec. 2011.

K. Commander and A. Prosperetti. Linear pressure waves in bubbly liquids: Comparison between theory and experiments. J. Acoust. Soc. Am. 1989.

Cite As

Chad Greene (2022). Minnaert bubble models (https://www.mathworks.com/matlabcentral/fileexchange/36477-minnaert-bubble-models), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2011a
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!