Why transverse wave cannot propagate in a gas or in liquid?

In summary, transverse waves can propagate in solids because each atom has an "equilibrium location" that allows for the disturbance to be restored. However, in fluids (liquids and gases), atoms do not have an equilibrium location, making it difficult for transverse waves to propagate. Instead, longitudinal waves are able to propagate in fluids due to the forces between neighboring atoms. Surface waves, such as those produced when throwing a stone in a pond, are also possible in fluids but dissipate quickly.
  • #1
sphyics
102
0
please do explain in detail.
 
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  • #2
How can a transverse wave propagate in a solid?
 
  • #3
I think it is because particles in gas doesn't tend to memorize its height or its distance to some wall. In gas you should observe memory of (mean) relative distance between particles. Thus you may have longitudinal wave.
best regards

DaTario
 
  • #4
  • #5
sphyics said:
please do explain in detail.

In fact they can but they fade out very quickly. They are called viscosity waves.

Any wave dissipates with distance but the viscosity waves are weak (the coupling mechanism is weak) and the dissipation is too strong.
 
  • #6
sphyics said:
wat does tis mean by ?

A transverse wave propagates in a solid because each atom of the solid has an "equilibrium location" where the forces on it from all its neighboring atoms balance. If one atom gets pulled out of its equilibrium location by a disturbance, it will tend to be pulled back to that location. However, when it's out of its equilibrium location it pulls its neighbors out of their equilibrium locations too, and so on down the line; the end result is that a transverse wave disturbance propagates through the material.

In fluids (liquids and gases), atoms have no "equilibrium location"; they can move freely past each other. So if one atom gets moved by a disturbance, there's no restoring force to pull it back to its equilibrium location, because there is no equilibrium location. Instead, as DaTario said, each atom is driven by the forces of neighboring atoms to maintain a given average distance between itself and its neighbors, but nothing else; so if one atom is disturbed, it will move to restore its average distance to its neighbors (and they will move in turn in response to the first one moving), but the atom won't be in the same place it was before when it's done equilibrating again. This allows longitudinal waves to propagate in fluids, but not transverse waves.
 
  • #7
Are we discounting surface waves here eg the waves I produce when I throw a stone in a pond?
 
  • #8
Yes, we do. They are surface waves. They fade out with depth quickly.

As I said, the transversal waves in liquid are possible in theory and practice but they are extremely dissipating, not propagating far away.
 
  • #9
PeterDonis said:
A transverse wave propagates in a solid because each atom of the solid has an "equilibrium location" where the forces on it from all its neighboring atoms balance. If one atom gets pulled out of its equilibrium location by a disturbance, it will tend to be pulled back to that location. However, when it's out of its equilibrium location it pulls its neighbors out of their equilibrium locations too, and so on down the line; the end result is that a transverse wave disturbance propagates through the material.

In fluids (liquids and gases), atoms have no "equilibrium location"; they can move freely past each other. So if one atom gets moved by a disturbance, there's no restoring force to pull it back to its equilibrium location, because there is no equilibrium location. Instead, as DaTario said, each atom is driven by the forces of neighboring atoms to maintain a given average distance between itself and its neighbors, but nothing else; so if one atom is disturbed, it will move to restore its average distance to its neighbors (and they will move in turn in response to the first one moving), but the atom won't be in the same place it was before when it's done equilibrating again. This allows longitudinal waves to propagate in fluids, but not transverse waves.

thats indeed a great explanation :)
 

1. Why can't transverse waves propagate in a gas or liquid?

Transverse waves require a medium that can support shear stress, which is the force that allows particles to move perpendicular to the direction of wave propagation. Gases and liquids do not have the necessary properties to support shear stress, making it impossible for transverse waves to propagate in these mediums.

2. What is the difference between transverse and longitudinal waves?

Transverse waves move perpendicular to the direction of wave propagation, while longitudinal waves move parallel to the direction of wave propagation. Transverse waves require a medium that can support shear stress, while longitudinal waves can propagate through any medium, including gases and liquids.

3. Can sound waves be transverse in gases or liquids?

No, sound waves are always longitudinal waves, even in gases and liquids. This is because sound waves require a medium that can support compression and rarefaction, which are not possible in transverse waves.

4. Why do transverse waves propagate in solids?

Solids have the necessary properties to support shear stress, making it possible for transverse waves to propagate. The molecules in solids are closely packed and can easily transmit shear stress from one particle to another, allowing transverse waves to travel through the material.

5. Are there any exceptions where transverse waves can propagate in gases or liquids?

In rare cases, transverse waves can propagate in gases and liquids if there are strong external forces acting on the medium. For example, in a tornado, the strong winds can create a shearing force on the air particles, allowing for transverse waves to propagate. However, this is not a common occurrence and transverse waves are still primarily found in solids.

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