Question

16-Mec-B3 Dec 2018 Page 2 of 16 SECTION A CALCULATIVE QUESTIONS Show all steps in the calculations and state the units for all intermediate and final answers QUESTION 1 GAS TURBINE A stationary gas turbine plant has the following technical and operating parameters Pressure ratio Air flow rate Fuel flow rate Fuel heating value Compressor efficiency Turbine efficiency Air inlet pressure Air inlet temperature r12 Mair 142 kg/s Mtuel2.68 kg/s CV 40 000 kJ/kg nonp tub 88% p 100 kPa T15°C 90% (a) Sketch a T-s diagram of the system and identify by number all the points to be calculated (b) Calculate the actual temperatures at the compressor exit, turbine inlet and turbine exhaust taking note of the changed gas conditions in the turbine (see note below). (c) Calculate the power output and efficiency of the gas turbine unit. Note: Take account of the change in mass flow rate and specific heat when calculating the conditions of the gas in the turbine. For the expansion of hot gas in a turbine use op1.148 kJ/kg C and k- 1.333. For other processes use co and k for cold air as given in the table of constants on page 14. [10 marks ]

Answer 1

goluti oy Giiveu data fuel plow rate GMpua) > 2-68K9/ fuel heati'n Turbine g& 1. A1ィ.wldt pri ure aq ram

3 wイ レ T4 aレ and als6 cp=јнце alle P-V diagram, 2- 1.33

Heat teaFen by -T2 1.14๕ 구sy 40 000 - E2.tttリ1.,v 8 [t_

Tu 0.33

macp lWnu 363. uze、 1130.0 ку