What is the continuity equation for a reflected shock wave?
A. ρ1W = ρ5up
B. ρ1W = ρ2(W – up)
C. ρ2(WR + up) = ρ5WR
D. ρ1W = ρ5(W + up)
Answer:A
What is the continuity equation for a reflected shock wave?
A. ρ1W = ρ5up B. ρ1W = ρ2(W – up) C. ρ2(WR + up) = ρ5WR D. ρ1W = ρ5(W + up)
Explanation: Continuity equation across a shock wave is given by the formula ρ1u1 = ρ2u2 Where, subscripts 1 and 2 are the sections behind and ahead of the shock wave. This above formula is valid only for stationary wave. For a reflected unsteady shock wave, the velocity ahead of the shock relative to wave is WR + up and the velocity behind the shock relative to the wave is WR. Thus, the continuity equation becomes: ρ2(WR + up) = ρ5WR