Air is supplied to a convergent–divergent nozzle from a
reservoir where the pressure is 100 kPa. The air is thendischarged
through a short pipe into another reservoir where thepressure
can be varied. The cross-sectional area of the pipe is twicethe
area of the throat of the nozzle. Friction and heat transfer maybe
neglected throughout the flow. If the discharge pipe hasconstant
cross-sectional area, determine the range of static pressure inthe
pipe for which a normal shock will stand in the divergentsection
of the nozzle. If the discharge pipe tapers so that itscross-sectional
area is reduced by 25%, show that a normal shock cannot bedrawn
to the end of the divergent section of the nozzle. Find themaximum
strength of shock (as expressed by the upstream Mach number)that
can be formed.
