Air a 1 MPa and 600°C enters a conserving nozzle with a velocity of 150 m/s. Determine the mass flow rate through the nozzle for a nozzle throat area of 50 cm2 when the back pressure is (i) 0.7 MPa and (ii) 0.4 MPa. Assume that the flow through the nozzle is steady, one-dimensional and isentropic.
You may use the following table for one-dimensional isentropic flow (for an ideal gas with g = 1.4).
|
M
|
p/p0
|
r/r0
|
T/T0
|
A/A*
|
M*
|
|
0.74
|
0.695
|
0.771
|
0.901
|
1.068
|
0.770
|
|
0.76
|
0.682
|
0.761
|
0.896
|
1.057
|
0.788
|
|
0.78
|
0.669
|
0.750
|
0.892
|
1.047
|
0.807
|
|
0.80
|
0.656
|
0.740
|
0.887
|
1.038
|
0.825
|
|
0.82
|
0.643
|
0.729
|
0.881
|
1.030
|
0.843
|