What exact speed point does shock wave start to appear

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SUMMARY

The discussion centers on the conditions under which shock waves, specifically sonic booms, occur when an object exceeds the speed of sound. The speed of sound in air at sea level is approximately 340 m/s (or 1225 km/h). Shock waves are generated whenever an object travels faster than Mach 1, regardless of the object's overall speed, as long as there are localized areas where the flow velocity reaches Mach 1. The phenomenon is influenced by factors such as temperature, pressure, and the object's velocity relative to the sound waves it produces.

PREREQUISITES
  • Understanding of Mach number and its significance in aerodynamics
  • Familiarity with the Doppler effect and its mathematical representation
  • Basic knowledge of fluid dynamics, particularly in relation to sound waves
  • Awareness of atmospheric conditions affecting sound speed
NEXT STEPS
  • Research the effects of temperature on the speed of sound in various mediums
  • Explore the mathematical derivation of the Doppler shift formula for sound waves
  • Study the principles of shock wave formation in supersonic flight
  • Investigate the differences between shock waves and blast waves in various contexts
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Aerospace engineers, physicists, and anyone interested in the dynamics of sound waves and supersonic travel will benefit from this discussion.

  • #31
Ahh, I seem to have found the paper I had remembered (and it's from one of my professors too, which explains why I saw it in the first place):

http://rd.springer.com/article/10.1007/BF02511381
 
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  • #32
and right on time. I was studying about shock tubes just now and I needed extra examples! xD
Thanks!
 
  • #33
And there we go: Van der Waals gas. I'm not even familiar with that sort of equation of state, but that seems to be about the sort of tomfoolery required to create an expansion shock.
 
  • #34
Correct me if I'm wrong I'm only 15. But doesn't air pressure affect the speed at which is needed to make a cone. If so it would be easier at 50k feet to go faster but you would not created a cone until you reach a higher speed. And vice versa with say. 5k feet.
 
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