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I'm working on this calculation project and I need to solve for quantities at various stages of the system. I'm having difficulty in solving for the shock wave angle. I came across this pdf which explains everything that I'm attempting to do. It has the equation I need on page 2 eq. (3.1)

The knowns are as follows:

Mach=12

gamma=1.4

wedge deflection=9 degrees

http://www.aerostudents.com/files/aerodynamicsC/obliqueShockWaves.pdf" [Broken]

So I solved this using www.wolframalpha.com

The link where I actually input the function and the values for known variables is here:

http://www.wolframalpha.com/input/?i=solve+%28tan%289%29%3d2%2ftan%28beta%29*%2812^2*%28sin%28beta%29%29^2-1%29%2f%2812^2%281.4%2bcos%282*beta%29%29%2b2%29%2cbeta%29&s=46&incTime=true

The pdf states that for small values of the wedge deflection angle, two solutions will be present. So my question is...Which values of Beta from the wolframalpha.com site do I use?

The knowns are as follows:

Mach=12

gamma=1.4

wedge deflection=9 degrees

http://www.aerostudents.com/files/aerodynamicsC/obliqueShockWaves.pdf" [Broken]

So I solved this using www.wolframalpha.com

The link where I actually input the function and the values for known variables is here:

http://www.wolframalpha.com/input/?i=solve+%28tan%289%29%3d2%2ftan%28beta%29*%2812^2*%28sin%28beta%29%29^2-1%29%2f%2812^2%281.4%2bcos%282*beta%29%29%2b2%29%2cbeta%29&s=46&incTime=true

The pdf states that for small values of the wedge deflection angle, two solutions will be present. So my question is...Which values of Beta from the wolframalpha.com site do I use?

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