Question

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.

Answer 1

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.