Question

Consider a steady flow through a horizontal divergent channel, as shown in the figure, with supersonic flow at the inlet. The direction of flow is from left to right. Pressure at location B is observed to be higher than that at an upstream location A. Which among the following options can be the reason?

Options :

  1. Since volume flow rate is constant, velocity at B is lower than velocity at A

  2. Normal shock

  3. Viscous effect

  4. Boundary layer separation

Show Answer

Answer :

Normal shock

Solution :

Within the distance of a mean free path, the flow passes from a supersonic to a subsonic state, the velocity decreases suddenly and the pressure rises sharply. A normal shock is said to have occurred if there is an abrupt reduction of velocity in the downstream in course of a supersonic flow in a passage or around a body. Since, volume flow rate is constant, velocity at B is lower than velocity at A and pressure at location B is observed to be higher than that at an upstream location A. Therefore, it indicates the normal shock.

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