Can Decreases in Pressure Propagate as Shockwaves in Fluids and Gases?

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In low-pressure gases, sound speed is temperature-dependent and not influenced by pressure, allowing pressure increases to propagate as shockwaves. Conversely, decreases in pressure cannot create shockwaves in ideal gases due to initial expansion cooling the gas and slowing the wave's rear. In fluids, isothermal compressibility diverges at critical points, while adiabatic compressibility remains finite. There are conditions under which a decrease in pressure may propagate as a rarefaction shock, particularly in dense gas dynamics rather than liquids. The discussion emphasizes the overlapping nature of gases and liquids as fluids, especially near critical points.
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In low pressure gases, speed of sound is independent on pressure and depends only on temperature.

Therefore increase of pressure will propagate as shockwave - front of the wave compresses and heats the gas, allowing the rear of the wave to travel faster and pile up into a shock.

By the same cause, a decrease of pressure CANNOT propagate as shockwave in ideal gas - initial expansion cools the gas and slows down the rear of the wave, spreading out the unloading.

How about fluids?

The isothermal compressibility diverges to infinity at and below critical point. It does not and cannot get negative.

Adiabatic compressibility therefore stays finite everywhere.

How does the speed of sound around critical poind depend on pressure along adiabats?

Is there any region where speed of sound increases on expansion, enabling decrease of pressure to propagate as shockwave?
 
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cjl said:
It looks like there are circumstances under which it is possible to get a rarefaction shock, though the example I found involves dense gas dynamics rather than liquids (which is what I'm assuming you mean when you say "fluids").

Since liquid and gas can continuously transform passing around critical point, "fluid" is a term which covers both.
 
snorkack said:
Since liquid and gas can continuously transform passing around critical point, "fluid" is a term which covers both.

I'm fully aware of that. The reason I made the distinction is because it sounded like you were using "fluid" as something which was distinct from "gas" in the OP, when in fact there is substantial overlap. Reading the OP again, it appears that I may have simply misunderstood what you were trying to say. Regardless, the paper linked in my previous post should give an example.
 
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