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Which equation is obtained when Mach number is equated to zero in area-velocity relation?(a) Momentum equation(b) Continuity equation(c) Energy equation(d) Bernoulli’s equationI got this question in semester exam.My doubt stems from Area-Velocity Relation in chapter Quasi-One-Dimensional Flow of Aerodynamics

Answer»

Right option is (b) Continuity equation

For explanation: The area-velocity relation is given by:

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

In the above equation if we substitute M=0 we get,

\(\frac {dA}{A}=-\frac {du}{u}\)

On INTEGRATING this equation we get:

Au=constant

This is the continuity equation for INCOMPRESSIBLE flow in a DUCT



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