a) Mass flow rate through the nozzle: 0.265 kilograms per second, b) Exit area of the nozzle: 23.202 square centimeters.
We determine the Mass Flow Rate through the nozzle and the Exit Area of the nozzle by means of the Principle of Mass Conservation. A nozzle is a device that works at Steady State, so that Mass Balance can be reduced into this form:
(1)
Where:
- Inlet mass flow, in kilograms per second.
- Outlet mass flow, in kilograms per second.
Given that air flows at constant rate, we expand (1) by dimensional analysis:
(2)
Where:
- Air density at inlet and outlet, in kilograms per cubic meter.
- Inlet and outlet area, in square meters.
- Inlet and outlet velocity, in meters per second.
a) If we know that
,
and
, then the mass flow rate through the nozzle is:



The mass flow rate through the nozzle is 0.265 kilograms per second.
b) If we know that
,
,
,
and
, then the exit area of the nozzle is:





The exit area of the nozzle is 23.202 square centimeters.