Problemas 16 de Octubre

A single stage of a multistage axial compressor is shown in the figure. The angle at which the absolute velocity enters the rotor is α1 = 40◦, and the relative velocity at the inlet of the rotor is β1 = 60◦. The angles at the inlet of the stator are α2 = 60◦ and β2 = 40◦. The mean radius of the rotor is 30 cm, and the hub-to-tip radius is 0.8. The axial velocity is constant and has a value Cx = 125 m/s. The density of the gas is 1.073 kg/m³

(a) Find the mass flow rate.

• 18 kg/s

• 22.1 kg/s

• 16.8 kg/s

• 15.2 kg/s

A single stage of a multistage axial compressor is shown in the figure. The angle at which the absolute velocity enters the rotor is α1 = 40◦, and the relative velocity at the inlet of the rotor is β1 = 60◦. The angles at the inlet of the stator are α2 = 60◦ and β2 = 40◦. The mean radius of the rotor is 30 cm, and the hub-to-tip radius is 0.8. The axial velocity is constant and has a value Cx = 125 m/s. The total inlet air (ideal gas) pressure is 101 kPa and total inlet temperature 293 K.

(b) What is the rotational speed of the shaft under these conditions?

• 12000 rpm

• 10230 rpm

• 11520 rpm

• 14100 rpm

A single stage of a multistage axial compressor is shown in the figure. The angle at which the absolute velocity enters the rotor is α1 = 40◦, and the relative velocity at the inlet of the rotor is β1 = 60◦. The angles at the inlet of the stator are α2 = 60◦ and β2 = 40◦. The mean radius of the rotor is 30 cm, and the hub-to-tip radius is 0.8. The axial velocity is constant and has a value Cx = 125 m/s. The total inlet air (ideal gas) pressure is 101 kPa and total inlet temperature 293 K.

(a) What is the power requirement of the compressor?

• 603 kW

• 650 kW

• 675 kW

• 700 kW

The blade speed of a rotor of an axial air compressor is U = 150 m/s. The axial velocity is constant and equal to C_x = 75 m/s. The tangential component of the relative velocity leaving the rotor is W_Ѳ2 = 30 m/s; the tangential component of the absolute velocity entering the rotor is C_Ѳ1 = 55 m/s. The stagnation temperature and pressure at the inlet to the rotor are 340 K and 185 kPa. The total-total efficiency is 0.9.

(a) Find the work done per unit mass flow through the compressor.

• 9500 J/kg

• 9000 J/kg

• 9820 J/kg

• 9750 J/kg

The blade speed of a rotor of an axial air compressor is U = 150 m/s. The axial velocity is constant and equal to C_x = 75 m/s. The tangential component of the relative velocity leaving the rotor is W_Ѳ2 = 30 m/s; the tangential component of the absolute velocity entering the rotor is C_Ѳ1 = 55 m/s. The stagnation temperature and pressure at the inlet to the rotor are 340 K and 185 kPa. The total-total efficiency is 0.9.

(a) Find the static temperature between the rotor and the stator.

• 349.7 K

• 339.7 K

• 345 K

• 352.5 K

The blade speed of a rotor of an axial air compressor is U = 150 m/s. The axial velocity is constant and equal to C_x = 75 m/s. The tangential component of the relative velocity leaving the rotor is W_Ѳ2 = 30 m/s; the tangential component of the absolute velocity entering the rotor is C_Ѳ1 = 55 m/s. The stagnation temperature and pressure at the inlet to the rotor are 340 K and 185 kPa. The total-total efficiency is 0.9.

(a) Find the stagnation pressure at the exit of the stage

• 203.2 kPa

• 202.1 kPa

• 204.2 kPa

• 205.2 kPa