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Where is methods of characteristics used?

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Where is methods of characteristics used?

(a) Designing supersonic nozzle

(b) Designing fuselage’s bulkhead

(c) Computing optimum wing camber

(d) Designing diamond airfoil for supersonic flow

I had been asked this question in semester exam.

My query is from Determination of Compatibility Equations in section Numerical Techniques for Steady Supersonic Flow of Aerodynamics

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Correct answer is (a) Designing supersonic nozzle

Easy explanation: Methods of characteristics are used in designing the supersonic nozzle. For this, a line with known supersonic flow fields is required. Upon going downstream, depending on where the point lies (internal/wall) the method of characteristics is applied to find the flow field.

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