Need some help on how to start solving the problem below. The
problem statements are solved sequentially, and the simulation is
done on software like SMath or MathCAD.
The gas turbine system in Figure 1 is to be simulated.
Compressor and turbine characteristics are given in Figure 2 y
Figure 3 respectively. Use air as the working fluid. T1 is 100 F,
and 210 gal/hr of JP-4 (heat content 130 000 Btu/gal) fuel is used.
Assuming p2 = p3 and neglecting the effects of πΜπ on the mass flow
rate, complete the following in order: a) Generate curve fits for
π2 = π2(πΜ ) and πΈπ (πΜ ) b) Generate curve fits for πΜ = πΜ (π3,
π3 ) and πΈπ‘ = πΈπ‘ (π3, π3 ) c) Develop the system of equations
required to model the systems d) Simulate the system e) List the
steady-state value of all variables. f) What is the turbine exit
temperature? If the unit is an industrial gas turbine, examine the
potential for energy recovery from the exhaust gases.
T2, P2 TΠ·. P4 2 Combustor 3 4 Parto Compressor Ec $ 1 Turbine E, Ti, P, FIGURE 1: System schematic
70 60 50 40 - Discharge pressure (psi) 30 20 10 O 10 20 30 Flow rate (ibm/s) 2000 1600 Compressor power (BTU/s) 1200 800 400 20 30 40 50 60 70 Discharge pressure (psi) Figure 2: Compressor characteristics
T = 1,900Β°F 4,000 - T = 1,700Β°F T = 1,500Β°F 1 3,000 1 Turbine power (BTU/s) 2,000 1,000 0 20 30 40 50 60 70 Inlet pressure (psi) 30 T = 1,500Β°F T = 1,700Β°F T = 1,900Β°F 20 Flow rate (lbm/s) 10 0 20 30 40 50 60 70 Inlet pressure (psi) Figure 3: Turbine characteristics
Need some help on how to start solving the problem below. The problem statements are solved sequentially, and the simula
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