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For which of these flows do we need a divergent duct to increase the velocity of the flow?(a) Subsonic flow(b) Supersonic flow(c) Hypersonic flow(d) Sonic flowThe question was posed to me in an interview.This interesting question is from Area-Velocity Relation in chapter Quasi-One-Dimensional Flow of Aerodynamics

Answer»

The correct option is (b) SUPERSONIC flow

Easy explanation: The area-VELOCITY relation is given by:

\(\frac {dA}{A}\)=(M^2-1)\(\frac {du}{U}\)

According to this formula, for supersonic flows the VALUE of M^2-1 is positive since M > 1. Thus, with INCREASING cross-sectional area, the velocity increases. Increasing area is achieved by convergent duct.



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