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Flow with M = 3 comes straight on in the x-direction towards the wedge. We know the wedge angle theta from our geometry of the wedge as 15 degrees.
Step 1: We then look at the Theta-Beta-M chart here we can find what the shock angle is corresponding to our conditions. The line M = 3 with wedge angle theta at 15 degrees corresponds to a shock angle beta of about 32 degrees.
Step 2: We calculate the value of the free stream Mach Number normal to the shock so we can use normal shock relations to relate quantities upstream and downstream of the shock.
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\Large \begin{equation}\nonumber M_{1N} = M_1sin(\beta) \end{equation} \\ |
Step 3: Now Now we can relate the normal Mach numbers to each other through the normal shock relations
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