Stagnation pressure for attached shock

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SUMMARY

The stagnation pressure at the tip of a slender body with an attached oblique shockwave is equivalent to the stagnation pressure of the freestream flow, as there is no flow behind the shock at the tip. This conclusion is supported by observations that, despite the presence of a small "bow" wave when zoomed in, the shockwave remains attached from a distance. The discussion highlights a lack of comprehensive sources addressing this specific scenario, emphasizing the need for clarity in understanding stagnation pressure in fluid dynamics.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Knowledge of shockwave theory
  • Familiarity with stagnation pressure concepts
  • Experience with slender body aerodynamics
NEXT STEPS
  • Research the characteristics of oblique shockwaves in fluid dynamics
  • Study the effects of shockwaves on stagnation pressure in various flow conditions
  • Explore computational fluid dynamics (CFD) tools for simulating shockwave interactions
  • Learn about the behavior of slender bodies in supersonic flow regimes
USEFUL FOR

Aerospace engineers, fluid dynamics researchers, and students studying shockwave phenomena will benefit from this discussion, particularly those focusing on the behavior of slender bodies in supersonic flows.

snowman5
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Hi, does anyone know the definition of "stagnation pressure" at the tip of a slender body
with attached oblique shockwave?

Since the shockwave is completely "attached" to the pointing tip, I think that there is
no flow "behind" the shock at the tip.
So I proceed to think that the stagnation pressure at the tip should be stagnation pressure
of the freestream flow without any pressure loss from the shock.

I have been looking for the answer for days but surprisingly there is not a single source
that answers my question.

I appreciate any help.
 
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I think that is a pretty good estimate. although, sometimes when you zoom in on the tip you still see a small "bow" wave in front of the tip. From a distance the shock wave seems attached.
 
I too think that you are right. the stagnation pressure of freestream will be same as that of the stagnation pressure at the tip
 

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