What equations should I use for solving hypersonic aerodynamics problems?

[zahidfcuk]

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

 

[viscousflow]

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

 

[zahidfcuk]

wow thank you. I think i just got carried away a little. But still I dunt know my ans are correct or not.

 

[zahidfcuk]

can anyone tell me, where can I get some solved problem in aerodynamics??

 

[DeeNos]

As a scientist, it is important to consider the specific conditions and variables of the problem in order to determine the appropriate equations to use. In this case, since the aircraft is flying at hypersonic speeds, it is necessary to use compressible flow equations. Some possible equations that could be used include the ideal gas law, Bernoulli's equation, and the equations for calculating Mach number and shock wave properties. However, the specific equations to be used will depend on the given information and the specific problem being solved. It would be helpful to review the properties of hypersonic flow and consult relevant resources or textbooks for guidance on which equations to use for solving this particular problem.