225k views
2 votes
The stators in a gas turbine are designed to increase the kinetic energy of the gas passing through them adiabatically. Air enters a set of these nozzles at 300 psia and 700°F with a velocity of 80 ft/s and exits at 250 psia and 645°F. Calculate the velocity at the exit of the nozzles.

User Uxtechie
by
8.5k points

1 Answer

2 votes

Final answer:

To calculate the velocity at the exit of the nozzles, we need to use the equation for adiabatic flow.

Step-by-step explanation:

The velocity at the exit of the nozzles can be calculated using the equation for adiabatic flow:

v2 = v1 + sqrt((2*h*(T1-T2))/(Cp*(T1+T2)))

Where:

  • v2 is the velocity at the exit of the nozzles
  • v1 is the velocity at the entrance of the nozzles
  • h is the enthalpy
  • T1 is the temperature at the entrance of the nozzles
  • T2 is the temperature at the exit of the nozzles
  • Cp is the specific heat capacity at constant pressure

Given the following values:

  • v1 = 80 ft/s
  • T1 = 700°F
  • T2 = 645°F

we need to calculate the enthalpy and the specific heat capacity at constant pressure for air at these temperatures.

User Amir Touitou
by
7.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.