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Related Concept Videos

Deriving the Speed of Sound in a Liquid01:09

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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.
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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.
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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...
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Sound Waves01:01

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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.
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Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
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Related Experiment Video

Updated: Feb 28, 2026

Evolution of Staircase Structures in Diffusive Convection
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Sound propagation in a continuously stratified laboratory ocean model.

Likun Zhang1, Harry L Swinney2

  • 1National Center for Physical Acoustics and Department of Physics and Astronomy, University of Mississippi, 145 Hill Drive, University, Mississippi 38677, USA.

The Journal of the Acoustical Society of America
|June 11, 2017
PubMed
Summary

This study models underwater sound propagation in stratified fluids using salty water. Researchers measured sound speed and ray refraction, providing a basis for ocean acoustics research.

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Area of Science:

  • Acoustics
  • Fluid Dynamics
  • Oceanography

Background:

  • Sound propagation in the ocean is complex due to density stratification.
  • Understanding sound behavior in stratified fluids is crucial for underwater acoustics.
  • Laboratory experiments can simulate oceanic conditions for acoustic studies.

Purpose of the Study:

  • To investigate sound propagation in a density-stratified fluid.
  • To model sound ray refraction based on measured sound speed profiles.
  • To provide a foundation for laboratory modeling of underwater sound in stratified oceans.

Main Methods:

  • Created a density-stratified fluid by layering salty water.
  • Measured fluid density to determine salinity and sound speed profiles with height.
  • Conducted three-dimensional sound propagation measurements and compared them with ray analysis.

Main Results:

  • Successfully created a continuously density-stratified fluid.
  • Calculated height-dependent sound speed and fluid salinity.
  • Demonstrated that ray analysis accurately predicts sound propagation in the stratified fluid.

Conclusions:

  • Laboratory experiments with stratified fluids can effectively model underwater sound propagation.
  • The study validates the use of ray theory for predicting sound behavior in stratified environments.
  • Provides a valuable experimental framework for ocean acoustics research.