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(Solved): Consider a supersonic Mach 4 flow over a double compression ramp. The first ramp angle is 1= ...



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Consider a supersonic Mach 4 flow over a double compression ramp. The first ramp angle is and the second is with respect to the free stream. At both compression comers a shock wave and is generated and these shocks interact in point I. From the interaction a shock and a second wave (indicated by the dotted line) results. i. Sketch the flow field including shock waves, expansion waves, streamlines and sliplines. ii. Determine the angles of the shocks and ii. Determine the pressure in regions 2 and 3 and comment on the nature (compression or expansion) of the wave indicated by the dotted line


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Given that:-

The angle of a shock wave concerning the free stream is denoted by ?.

Let's denote the first ramp angle as    and the second ramp angle as    The flow is supersonic with Mach number   

To find the angle of shock OSW, we need to use oblique shock relations. The oblique shock angle can be determined using the following relation:


  
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