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4.5. Values of pressure (kPa) measured at various stations of a zero-reaction gas turbine stage, all at the mean blade height, are shown in the table given below. Stagnation pressure Nozzle entry 414 Nozzle exit 400 Static pressure Nozzle exit Rotor exit 207 200 The mean blade speed is 291 m/s, inlet stagnation temperature 1100 K, and the flow angle at nozzle exit is 70° measured from the axial direction. Assuming the magnitude and direction of the velocities at entry and exit of the stage are the same, and the axial velocity remains constant, determine the total to total efficiency of the stage. Assume a perfect gas with C = 1.148 kJ/(kg °C) and y = 1.333.

4.5. Values of pressure (kPa) measured at various stations of a zero-reaction gas turbine stage, all at the mean blade height, are shown in the table given below. Stagnation pressure Nozzle entry 414 Nozzle exit 400 Static pressure Nozzle exit Rotor exit 207 200 The mean blade speed is 291 m/s, inlet stagnation temperature 1100 K, and the flow angle at nozzle exit is 70° measured from the axial direction. Assuming the magnitude and direction of the velocities at entry and exit of the stage are the same, and the axial velocity remains constant, determine the total to total efficiency of the stage. Assume a perfect gas with C = 1.148 kJ/(kg °C) and y = 1.333.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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4.5. Values of pressure (kPa) measured at various stations of a zero-reaction gas turbine stage, all at the mean blade height, are shown in the table given below. Stagnation pressure Nozzle entry 414 Nozzle exit 400 Static pressure Nozzle exit Rotor exit 207 200 The mean blade speed is 291 m/s, inlet stagnation temperature 1100 K, and the flow angle at nozzle exit is 70° measured from the axial direction. Assuming the magnitude and direction of the velocities at entry and exit of the stage are the same, and the axial velocity remains constant, determine the total to total efficiency of the stage. Assume a perfect gas with Cp = 1.148 kJ/(kg °C) and y = 1.333.
Transcribed Image Text:4.5. Values of pressure (kPa) measured at various stations of a zero-reaction gas turbine stage, all at the mean blade height, are shown in the table given below. Stagnation pressure Nozzle entry 414 Nozzle exit 400 Static pressure Nozzle exit Rotor exit 207 200 The mean blade speed is 291 m/s, inlet stagnation temperature 1100 K, and the flow angle at nozzle exit is 70° measured from the axial direction. Assuming the magnitude and direction of the velocities at entry and exit of the stage are the same, and the axial velocity remains constant, determine the total to total efficiency of the stage. Assume a perfect gas with Cp = 1.148 kJ/(kg °C) and y = 1.333.
Expert Solution
Step 1

Given Data

  • The mean blade speed is: v=291 m/s
  • The stagnation temperature is: T=1100 K
  • The angle at the nozzle exit is: α=70°
  • The specific heat at constant pressure is: cp=1.148 kJ/kg·°C
  • The specific heat ratio is: γ=1.333

To Determine

The total to total efficiency of the stage

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