Consider the supercritical steam power plant
with reheat for Athens, Ohio, which we evaluated in **Solved
Problem 4.1**. The system diagram is repeated here for convenience:

In this exercise we wish to evaluate the high pressure (HP) and low pressure (LP) turbines of this system (circled in red), both of which are assumed to be adiabatic.

- 1) Plot the two turbine processes (Stations
(1)-(2) and (3)-(4)) on the
**enthalpy-entropy**. Plot also the equivalent isentropic turbine processes on the diagram, and indicate the actual turbine specific work as well as the isentropic turbine specific work for both turbines on the*h-s*"Mollier" diagram*h-s*diagram. - 2) Using
**steam tables**, determine the turbine adiabatic efficiency η_{T}of both turbines. - 3) Discuss your results as well as the feasibility of the turbine set.

*Justify* all values
used and *derive* all equations used starting from the basic
energy equation for a flow system, the basic definition of turbine
adiabatic efficiency η_{T}.

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**Solution Approach:
**

- 1) Plot the two turbine processes (Stations
(1)-(2) and (3)-(4)) on the enthalpy-entropy
*h-s*"Mollier" diagram below. Plot also the equivalent isentropic turbine processes on the diagram, and indicate the actual turbine specific work as well as the isentropic turbine specific work for both turbines on the*h-s*diagram. [refer*h-s*diagram below]

- 2) Using
**steam tables**, determine the turbine adiabatic efficiency η_{T}of both turbines. [enthalpy and entropy data derived from steam tables shown in red on schematic diagram below. State (2s) required linear interpolation of the**superheat table**values and both states (4a) and (4s) required the**saturation properties (pressure) table**and use of the quality relation X indicated below. These values were then indicated on the above*h-s*diagram plot in order to validate their feasibility.]

- 3) Discuss your results as well as the feasibility of the turbine set. [Both adiabatic efficiencies seem to be feasible and do not violate the second law. We need to question why the LP turbine efficiency (90%) is so much higher than the HP turbine efficiency (77%) - it may be due to the ability of higher relative accuracy in the manufacture of a much larger turbine however this large difference is suspect and needs more investigation.]

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Engineering Thermodynamics by Israel Urieli is licensed under a
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