Fundamentals-of-Compressible-Fluid-Dynamics

Balachandra

Chapter 3

7. Air at 3 bar and 300 K

enters a duct of varying cross-sectional area of 150m/s. at inlet

scetion the area is 0.05 m2. At another section downstream of it,

the fluid properties are 2 bar and 280K with a flow velocity of

250m/s, Assuming air to be perfect gas, find the internal thrust

produced. H

[Ans. -1586.74 N]

8. The entry conditions of air into horizontal

duct are 300K 345kPa and 150 m/s the air leaves the duct at 277K,

205.8K and 260m/s. The area at entry is 0.05m2. Assuming adiabatic

flow, find (i) stagnation temperature (ii) mass flow rate (iii)

maximum velocity and (iv) area at exit

[To1 =311.15K; To2 =310.7K; m=30kg/s;Vmax=790m/s;

A2=0.0445m2]

9. Determine the velocity of air corresponding, a velocity

temperamre of 1C.

[Ans. V = 742.12 m/s]

10. Air at stagnation conditions has a

temperature of 800 K. Determine the velocity of sound and maximum

possible velocity. What is the velocity of sound when the flow is

at half the maximum velocity.

[Ans. (i) a0 = 567 m/s; Vmax = 1265 m/s

(ii) a = 491 m/s]

11. A perfect gas having Cp = 1017.4 J/kg

K and molecular weight 28.97 flows adiabatically in a converging

passage with a mass flow rate of 29.180 kg/s. At a particular

location, M = 0.6, T= 550 K and p = 2 x

105 N/m2. Calculate the area of cross-section of the duct at the

location.

[Ans. A = 0.08167 m2]

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