A gas turbine operates according to the principle that a fuel is combusted with air at...
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A gas turbine operates according to the principle that a fuel is combusted with air at high pressure, and the hot flue gases are led through a turbine where they expand strongly. The turbine shaft is connected to a generator for production of power, but part of the work of the shaft is consumed in the compression of the combustion air (cf. Fig. 1). Study a system where natural gas is combusted with air at a pressure of p = 17 bar, giving rise to 4 kg/s of flue gases at 1069 °C, which are led to an ideal gas turbine. Determine the maximum work per time unit (in kW) that the insulated turbine can supply to the generator if the ambient pressure is 101 kPa? Consider that the combustion air (3,6 kg/s) must be compressed from the ambient pressure and temperature (20 °C) to the inlet pressure of the turbine; this compression is taken to happen ideally in one step. (The natural gas need not be compressed.) Determine the flue gas temperature after the turbine. Air and the flue gases (fg) are taken to be ideal gases with constant specific heat capacity: Cp.air = 1.00 kJ/(kg-K), Cp.fg = 1,175 kJ/(kg-K), Mair= 29.0 kg/kmol and Mfg = 30,3 kg/kmol. The lecture notes give formulae for the specific enthalpy and entropy of ideal gases. Fuel Fuel Valve Speed Control Air Combustion Chamber Compressor Exhaust Emissions Gas Turbine Reduction Gear Gas Turbine Electric Power Generation Synchronous Generator AC Power A gas turbine operates according to the principle that a fuel is combusted with air at high pressure, and the hot flue gases are led through a turbine where they expand strongly. The turbine shaft is connected to a generator for production of power, but part of the work of the shaft is consumed in the compression of the combustion air (cf. Fig. 1). Study a system where natural gas is combusted with air at a pressure of p = 17 bar, giving rise to 4 kg/s of flue gases at 1069 °C, which are led to an ideal gas turbine. Determine the maximum work per time unit (in kW) that the insulated turbine can supply to the generator if the ambient pressure is 101 kPa? Consider that the combustion air (3,6 kg/s) must be compressed from the ambient pressure and temperature (20 °C) to the inlet pressure of the turbine; this compression is taken to happen ideally in one step. (The natural gas need not be compressed.) Determine the flue gas temperature after the turbine. Air and the flue gases (fg) are taken to be ideal gases with constant specific heat capacity: Cp.air = 1.00 kJ/(kg-K), Cp.fg = 1,175 kJ/(kg-K), Mair= 29.0 kg/kmol and Mfg = 30,3 kg/kmol. The lecture notes give formulae for the specific enthalpy and entropy of ideal gases. Fuel Fuel Valve Speed Control Air Combustion Chamber Compressor Exhaust Emissions Gas Turbine Reduction Gear Gas Turbine Electric Power Generation Synchronous Generator AC Power
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SOLUTION To determine the maximum work per time unit in kW that the insulated gas turbine can supply to the generator we need to calculate the turbines power output and the efficiency of the system 1 ... View the full answer
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