A converging-diverging nozzle is operated at a pressure difference which is not the design value for isentropic flow. As a consequence a normal shock is formed in the diverging portion. In this situation the Mach number at the throat is

A converging-diverging nozzle is operated at a pressure difference which is not the design value for isentropic flow. As a consequence a normal shock is formed in the diverging portion. In this situation the Mach number at the throat is Correct Answer Exactly 1

Normal shock:

  •  When 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. if there is an abrupt reduction of velocity in the downstream in course of a supersonic flow in a passage or around a body a shock is said to have occurred. 
  • Normal shocks are substantially perpendicular to the flow and oblique shocks are inclined at any angle.
  • Pressure ratio pb ⁄pr at the first critical point which represents flow that is subsonic in both the convergent and divergent sections but is choked with a Mach number of 1.0 in the throat (Chocked means flow maximum and fixed).

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Normal Shock Condition

At throat Mach number is always unity, irrespective of back pressure. Therefore, option 3) is correct.

Related Questions

When a converging-diverging nozzle is operated at off-design conditions, a normal shock forms in the diverging portion. The nozzle can be assumed to be perfectly insulate from the surroundings. Then across the shock
When the pressure drop across a converging-diverging nozzle is different from the design value for isentropic flow, which of the following is possible?
Statement (I) : Mass flow through the convergent nozzle is maximum when the exit Mach number is 1. Statement (II) : The divergent section is added to convergent nozzle to increase the exit Mach number and not to increase the mass flow rate
Statement (I) : When a bluff body moves at supersonic speed in still air, an attached shock wave is produced at its nose causing the flow to be subsonic behind the shock plane. Statement (II) : A normal shock always transforms supersonic flow into subsonic flow causing increase in pressure, temperature and entropy.
In a convergent divergent nozzle, the velocity at throat of nozzle is given by Where p­1 = initial entry pressure, v1 = initial entry specific volume and n = isentropic index of expansion.