Ian A. Waitz
Problem T9 (Unified Thermodynamics)
Consider the following air standard cycle:
Leg 1-2: adiabatic compression
Leg 2-3: constant temperature heat addition
Leg 3-4: adiabatic expansion
Leg 4-1: constant pressure cooling
Assume all processes are quasi-static. (MO# 4, MO#6)
a) Derive expressions for the shaft work, flow work, work, and heat transfer for each leg of the cycle in terms of the temperatures T1, T2, T3, T4, v2, v3, cv, cp, and R.
b) Using these expressions, show that the net work for the cycle is equal to the net heat for the cycle.
c) Show that the net flow work for the cycle is zero and that the net shaft work is equal to the net work for the cycle.
d) For the ABB gas turbine problem T7, calculate the work, shaft work, and flow work for the turbine. What fraction of the shaft work is used to drive the compressor?
