A) 15 pts Trace the T-s diagram of an ideal turbojet with afterburner, labeling each point. Do no...
a) 15 pts Trace the T-s diagram of an ideal turbojet with afterburner, labeling each point. Do not show thoe equations of the various processes, but make sure that both shape and lengths of the different segments of the cycle are as close as possible to those of an ideal engine. b) 5 pts Find an expression for 7a starting from the free-stream conditions c) 10 pts Derive an expression for Tis as a function of the free-stream conditions and the compressor's pressure ratio. d) 20 pts Perform a power balance across the main combustion chamber only, apply all the needed simplifications from the ideal cycle analysis and derive an expression for the fuel-to-air mass ratio f e) 15 pts Derive an expression for Ts as a function of Tn. Ts and Tu by performing the power balance between turbine and compressor and applying all the needed ideal cycle simplifications f) 15 pts Demonstrate that for a simple ideal turbojet with no afterburner, Tis could also be found through the following expression. Briefly explain all the steps. r-1 7,5 = To 13 (po) g) 10 pts Considering the ideal engine to be operated at dry conditions, derive an expression for Vo as a function of Ts, Tu, Tis and To. h) 10 pts Starting from the definition of thermodynamic efficiency, show that its expression for an ide Brayton cycle is: t2 Tt3
a) 15 pts Trace the T-s diagram of an ideal turbojet with afterburner, labeling each point. Do not show thoe equations of the various processes, but make sure that both shape and lengths of the different segments of the cycle are as close as possible to those of an ideal engine. b) 5 pts Find an expression for 7a starting from the free-stream conditions c) 10 pts Derive an expression for Tis as a function of the free-stream conditions and the compressor's pressure ratio. d) 20 pts Perform a power balance across the main combustion chamber only, apply all the needed simplifications from the ideal cycle analysis and derive an expression for the fuel-to-air mass ratio f e) 15 pts Derive an expression for Ts as a function of Tn. Ts and Tu by performing the power balance between turbine and compressor and applying all the needed ideal cycle simplifications f) 15 pts Demonstrate that for a simple ideal turbojet with no afterburner, Tis could also be found through the following expression. Briefly explain all the steps. r-1 7,5 = To 13 (po) g) 10 pts Considering the ideal engine to be operated at dry conditions, derive an expression for Vo as a function of Ts, Tu, Tis and To. h) 10 pts Starting from the definition of thermodynamic efficiency, show that its expression for an ide Brayton cycle is: t2 Tt3