Airflow enters a duct with an area of 0.15 m^2 at a velocity of 270 m/s. The sta

Question

Airflow enters a duct with an area of 0.15 m^2 at a velocity of 270 m/s. The static temperature, T1, is 285 K and the static pressure, P1, is 100 kPa. Later the flow exits a diverging section at 2 where the area is 0.200 m^2. Treat air as an ideal gas where k = 1.4. (a) Determine the Mach number at location 1. (b) Determine the total temperature and pressure at I (c) Determine the Mach number at A2. (d) Determine the static pressure and temperature at 2. (e) Determine the mass flow rate. (f) Determine the velocity at 2.

Explanation / Answer

a)

Speed of sound C1 = sqrt (kRT)

= sqrt (1.4*287*285)

= 338.4 m/s

Mach number = V1 / C1

= 270 / 338.4

= 0.8

b)

Density at section 1, rho1 = P1 / (R*T1)

= 100*10^3 / (287*285)

= 1.22 kg/m^3

Total pressure = P1 +

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.