Analysis of Engineering Cycles, Edition: 3Rev Ed by R. W. Haywood and W. A. Woods (Auth.)

By R. W. Haywood and W. A. Woods (Auth.)

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71. 2. In a closed-circuit gas-turbine plant using a perfect gas as the working fluid, the thermodynamic temperatures at compressor and turbine inlets are respectively Ta and Th. The plant is operating with an isentropic temperature ratio of compression of ρρ and the isentropic efficiencies of the compressor and turbine are respectively η0 and ητ. , whereα = ηΰητθ and θ =Tb/Ta. (X Evaluate this ratio when f. 13 and the working fluid is air. 625. 3. 2, show that the thermal efficiency of the cycle is given by (1-1/ρ,)(α-ρ„) Simple Closed-Circuit where Gas-Turbine Plant 45 α = η0 ητ Θ, β=[1 0 = + η0 ( 0 - 1 ) ] , η/Γ β.

Efficiency ratio = ( η κ ) steam circuit. 12) Thus, if we want to know the value of the efficiency ratio of the actual plant, it is evidently simpler to obtain this by calculating directly the rational efficiency of the open-circuit work-producing plant within control surface S of Fig. 3. The engineer should thus be encouraged, wherever possible, to apply the concepts of thermodynamic availability to a study of cyclic as well as non-cyclic plant and devices. These concepts are treated fully in a second bopk by the 5 author< > and also in the author's critical review paper on the 6 subject.

3) 34 Simple Power and Refrigerating Plants Whence, from eqns. 4) Thus the thermal efficiency of the ideal Joule cycle with a perfect gas as the working fluid is a function only of the pressure ratio, being independent of both the compressor and turbine inlet temperatures. If the working fluid is air, the cycle is described as an air-standard Joule cycle. 1. 4. Calculate the thermal efficiency of the corresponding air-standard Joule cycle, and the efficiency ratio for the plant. ". 4) = J 52. X100 = 3 8 .

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