Air enters a nozzle steadily at 2.21 kg/m3 and 45 m/s; and leaves at 0.762 kg/m3 and 150 m/s. If the inlet area of the nozzle is 80 cm2, determine(a)the mass flow rate through the nozzle, and (b) the exit area of the nozzle.

Solution

Introduction

A nozzle in which air enters with a velocity 2.21 m/s and leaves with a velocity 0.762 m/s the inlet area of the nozzle is 80 cm2. Is shown in figure.

Step 1

The density of the air at the inlet = 2.21 kg/m3

The density of the air at the outlet =0.762 kg/m3

The area of the nozzle at inlet A1 =80 cm2 =0.008 m2

Velocity of air at the inlet v1=45 m/s