homework

Homework 1 Thermo-Fluid Systems Design (MECH.4420)

Write a MATLAB program to analyze the combined gas–steam power plant shown below. The “top cycle” generates 800 MW of power. Air enters the compressor at 310 K, the combustion chamber at 700 K and the turbine at 1500 K. The combustion gases enter the heat exchanger at 850 K and exit at 520 K. The combustion gases exiting the gas turbine are used to heat the steam (State 3) to 12.5 MPa to 500o C in a heat exchanger. Steam expands in a high-pressure turbine to a pressure of 2.5 MPa and is reheated in the heat exchanger to 500o C before it expands in a low-pressure turbine to 10 kPa. Assume all heat exchangers operate at constant pressure and isentropic efficiencies of 80.0 % for the pump, and 88 %for steam turbines. Upload a .m file modeling this cycle. It should write to the screen ONLY the following values. (a) the mass flow rate of air in the gas-turbine cycle, [kg/s] (b) the rate of total heat input into the combustion chamber [MW], and (c) the thermal efficiency of the combined cycle [%].