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Related Concept Videos

Speed of Sound in Solids and Liquids00:51

Speed of Sound in Solids and Liquids

Most solids and liquids are incompressible—their densities remain constant throughout. In the presence of an external force, the molecules tend to restore to their original positions, which is only possible because the constituents interact. The interactions help the constituents pass on information about external disturbances, like sound waves. Therefore, sound waves travel faster through these media. Compared to solids, the constituents in a liquid are less tightly bound. Thus, sound waves...
Deriving the Speed of Sound in a Liquid01:09

Deriving the Speed of Sound in a Liquid

As with waves on a string, the speed of sound or a mechanical wave in a fluid depends on the fluid's elastic modulus and inertia. The two relevant physical quantities are the bulk modulus and the density of the material. Indeed, it turns out that the relationship between speed and the bulk modulus and density in fluids is the same as that between the speed and the Young's modulus and density in solids.
The speed of sound in fluids can be derived by considering a mechanical wave propagating...
Sound Waves01:01

Sound Waves

Sound waves can be thought of as fluctuations in the pressure of a medium through which they propagate. Since the pressure also makes the medium's particles vibrate along its direction of motion, the waves can be modeled as the displacement of the medium's particles from their mean position.
Sound waves are longitudinal in most fluids because fluids cannot sustain any lateral pressure. In solids, however, shear forces help in propagating the disturbance in the lateral direction as well. Hence,...
Echo01:06

Echo

The human ear cannot distinguish between two sources of sound if they happen to reach within a specific time interval, typically 0.1 seconds apart. More than this, and they are perceived as separate sources.
Imagine the sound is reflected back to the ears. Assuming that the source is very close to the human, the difference between hearing the two sounds—the emitted sound and the reflected sound—may be more than the minimum time for perceiving distinct sounds. If this is the case, then the...
Sound as Pressure Waves01:17

Sound as Pressure Waves

Sound waves, which are longitudinal waves, can be modeled as the displacement amplitude varying as a function of the spatial and temporal coordinates. As a column of the medium is displaced, its successive columns are also displaced. As the successive displacements differ relatively, a pressure difference with the surrounding pressure is created. The gauge pressure varies across the medium.
The pressure fluctuation depends on the difference in displacements between the successive points in the...
Propagation of Waves01:07

Propagation of Waves

When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...

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Related Experiment Video

Updated: Jun 27, 2026

Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System
08:19

Induction of Microstreaming by Nonspherical Bubble Oscillations in an Acoustic Levitation System

Published on: May 9, 2021

Effective medium method for sound propagation in a soft medium containing air bubbles.

Bin Liang1, Xinye Zou, Jianchun Cheng

  • 1Laboratory of Modern Acoustics and Institute of Acoustics, Nanjing University, Nanjing 210093, People's Republic of China.

The Journal of the Acoustical Society of America
|December 3, 2008
PubMed
Summary

A new effective medium method (EMM) models nonlinear acoustic wave propagation in bubbly soft media, considering bubble dynamics and material properties. This method accurately predicts wave behavior and enhances understanding of acoustic properties in complex materials.

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Multi-timescale Microscopy Methods for the Characterization of Fluorescently-labeled Microbubbles for Ultrasound-Triggered Drug Release
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Area of Science:

  • Acoustics
  • Materials Science
  • Nonlinear Dynamics

Background:

  • Soft media with air bubbles exhibit complex acoustic behaviors.
  • Previous models often neglect crucial factors like viscosity and surface tension.
  • Accurate modeling is essential for applications in medical imaging and material characterization.

Purpose of the Study:

  • To develop an effective medium method (EMM) for investigating nonlinear acoustic wave propagation in bubbly soft media.
  • To incorporate effects of weak compressibility, viscosity, surface tension, and encapsulating shells into the model.
  • To derive and solve equations for fundamental and second harmonic waves.

Main Methods:

  • Developed an effective medium method (EMM) based on an individual bubble dynamics model.
  • Employed a perturbation approach to homogenize bubbly soft media.
  • Derived and solved wave propagation equations for 1D and 3D cases.

Main Results:

  • The EMM accurately models nonlinear acoustic wave propagation in bubbly soft media.
  • The method incorporates effects of compressibility, viscosity, surface tension, and shell properties.
  • Results show good agreement with existing theories while accounting for additional physical phenomena.

Conclusions:

  • The developed EMM provides a robust framework for analyzing acoustic wave propagation in bubbly soft materials.
  • The method's ability to include multiple physical effects enhances predictive accuracy.
  • Identified limitations of the EMM for future research and refinement.