What equations should I use for solving hypersonic aerodynamics problems?

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Discussion Overview

The discussion revolves around solving problems related to hypersonic aerodynamics, specifically focusing on an experimental aircraft flying at an altitude of 20 km. Participants address the appropriate equations to use for various calculations, including atmospheric conditions, Mach numbers, and shock wave effects.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant expresses confusion about whether to use incompressible or compressible equations due to the hypersonic context of the problem.
  • Another participant points out that despite the hypersonic designation, the aircraft's ground speed of 177 m/s corresponds to a Mach number of 0.183, suggesting it is not in the hypersonic regime.
  • A participant acknowledges their uncertainty about the correctness of their answers after receiving clarification.
  • One participant requests resources for solved problems in aerodynamics.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the appropriate equations to use, and there is a disagreement regarding the classification of the aircraft's speed in relation to hypersonic conditions.

Contextual Notes

The discussion highlights potential limitations in understanding the transition between incompressible and compressible flow regimes, as well as the implications of the aircraft's speed on its classification.

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Homework Statement


A hypersonic experimental aircraft is flying in the lower stratosphere at an altitude of 20 km, at a ground speed of 177m/s.
a)the atmospheric pressure and temperature experienced by the aircraft at 20 km altitude, assuming an isothermal variation in temperature in the stratosphere,calculate
b)the Mach number at which the aircraft is flying.
c)the Mach number behind the shock wave located just ahead of the aircraft nose.
d)the temperature and pressure experienced by the tip of the aircraft nose.

Homework Equations


I do not know which one to use. Beginning of the question it says hypersonic, so I am kinda confused whether to use equation on incompressible or compressible.

The Attempt at a Solution

 
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Why are you confused? The aircraft is hypersonic but it's ground speed is 177 m/s which is Mach 0.183 @20 km far from sonic
 
wow thank you. I think i just got carried away a little. But still I dunt know my ans are correct or not.
 
can anyone tell me, where can I get some solved problem in aerodynamics??
 

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