Transmission delay of pressure in a fluid

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Discussion Overview

The discussion revolves around the concept of transmission delay of pressure in fluids, particularly focusing on whether this delay results in a differential force acting on an object submerged in water. Participants explore the implications of fluid compressibility and the speed of sound in different media.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions if the transmission delay of pressure in water creates a differential force on an object, suggesting that pressure applied at one side may reach that side faster than the other.
  • Another participant asserts that in incompressible fluids like water, there is effectively no delay, implying that differential forces due to pressure transmission are negligible.
  • A third participant references the speed of sound in water and suggests that while pressure waves may arrive at different times, the net force difference over a full cycle of a sine wave is zero.
  • Further elaboration on the speed of sound in water (approximately 1500 m/s) compared to air (about 340 m/s) is provided, indicating that the context may determine whether the speed is significant enough to consider.
  • One participant acknowledges the factual basis of the previous points but does not provide a counterargument.

Areas of Agreement / Disagreement

Participants express differing views on the existence and significance of transmission delay in incompressible versus compressible fluids, indicating that multiple competing perspectives remain unresolved.

Contextual Notes

There are limitations regarding assumptions about fluid behavior, the definitions of incompressibility and compressibility, and the specific conditions under which the discussion applies. The implications of the speed of sound and its relevance to the scenario presented are also not fully resolved.

Gh778
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I would like to know if the transmission delay of pressure give a differential force on an object ? Example: an object in water, we put pressure with mass over water at right at t=0s. The pressure at right is faster on the right side than the left side (d1<d2). The object seems to move with a force in water. The delay is very small but exist. Is this true ?
 

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In water, there is effectively no delay since the medium is incompressible. For something like air, which is compressible, this can happen.
 
See section on speed of sound in water in http://en.wikipedia.org/wiki/Speed_of_sound
Although the sound pressure wave may arrive at the two sides of an object at different times, if it is a sine wave, the net force difference over a full cycle is zero.
 
boneh3ad said:
In water, there is effectively no delay since the medium is incompressible. For something like air, which is compressible, this can happen.

The speed of sound in water is about 1500 m/s compared with about 340 m/s in air. Whether you think that is fast enough to ignore depends on the situation. Sonar woudn't work in a truly incompressible fluid, for example.
 
AlephZero said:
The speed of sound in water is about 1500 m/s compared with about 340 m/s in air. Whether you think that is fast enough to ignore depends on the situation. Sonar woudn't work in a truly incompressible fluid, for example.

Fair enough. I can't argue with facts.
 

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