Air in a large tank at 300C and 400kPa, flows through a converging diverging nozzle with throat diameter 2cm. It exits smoothly at a Mach number 2.8. According to one-dimensional isentropic theory, what is (a) exit diameter and
(b) mass flow?

The answer is ""

Explanation:

Given data:  

Initial temperature of tank

Initial pressure of tank

Diameter of throat

Mach number at exit

In point a:

calculating the throat area:

Since, the Mach number at throat is approximately half the Mach number at exit.  

Calculate the Mach number at throat.  

Calculate the exit area using isentropic flow equation.

Here: is the specific heat ratio. Substitute the values in above equation.

exit diameter is 3.74 cm

In point b:

Calculate the temperature at throat.

Calculate the velocity at exit.  

Here: R is the gas constant.  

Calculate the density of air at inlet

Calculate the density of air at throat using isentropic flow equation.  

Calculate the mass flow rate.  

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explanation: