Determine the isentropic flow through the nozzle:

In an isentropic flow through the nozzle, air flows at rate of 600Kg/hr. At inlet to the nozzle, the pressure is 2Mpa and temperature is 1270C. The exit pressure is 0.5Mpa. If the initial air velocity is 300m/sec. Determine the following

(i)   Exit velocity of air, and

(ii)  Inlet and exit area of nozzle.                                                                                             

Sol:

Rate of flow of air mf = 600Kg/hr

Pressure at inlet P₁  = 2MPa

Temperature at inlet T₁  = 127 + 273 = 400K

Pressure at exit P₂  = 0.5MPa

Velocity at inlet V₁  = 300m/sec

Let the velocity at exit = V₂

And inlet and exit areas be A₁  and A₂

Applying SFEE between the section 1 - 1 & section 2 - 2