A shock wave moves down a pipe as shown below. The fluid properties change across the shoc...

A shock wave moves down a pipe as shown below. The fluid properties change across the shock, but they are not functions of time. The velocity of the shock is υw. Write the continuity equation and obtain the relation between ρ2, ρ1, υ2; and υw. The mass in the control volume at any time is M = ρ2Ax + ρ1Ay. Hint: Use a control volume that is moving to the right at velocity υw.