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Which is not true for continuity equation of normal shock?

(a) ρ1u1A1=ρ2u2A2

(b) ρ1u1=ρ2u2

(c) Steady flow

(d) No viscosity

This question was posed to me in semester exam.

This is a very interesting question from The Basic Normal Shock Equations in division Normal Shock Waves of Aerodynamics

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Right option is (b) ρ1u1=ρ2u2

The explanation: The continuity equation of the normal shock equation is derived from the continuity equation of mass and is given as ρ1u1A1=ρ2u2A2. If the area of the control volume is same on both sides, it becomes ρ1u1=ρ2u2. The flow is steady and without viscosity.

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