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Modern Engineering Thermodynamics

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518 CHAPTER 13: Vapor and Gas Power Cycles<br />

Compressor<br />

Exhaust out<br />

Intake manifold<br />

Air in<br />

Turbine<br />

Compressor<br />

Air in<br />

Power<br />

Power<br />

Intake<br />

manifold<br />

Exhaust<br />

out<br />

Exhaust<br />

manifold<br />

(a) Supercharging<br />

Engine<br />

Exhaust<br />

manifold<br />

(b) Turbocharging<br />

Engine<br />

Air in<br />

Turbine<br />

Intake<br />

manifold<br />

Exhaust out<br />

Engine<br />

Exhaust<br />

manifold<br />

Power<br />

(c) Turbocompounding<br />

FIGURE 13.56<br />

Air and exhaust flow arrangements for supercharging, turbocharging, and turbocompounding an internal combustion engine.<br />

13.23 SECOND LAW ANALYSIS OF VAPOR AND GAS<br />

POWER CYCLES<br />

The difference between the isentropic thermal efficiency and the actual thermal efficiency of a system is due to<br />

the effects of the second law of thermodynamics. The second law can be used to determine viscous irreversibilities<br />

leading to pressure losses in pipes, valves, and fittings; to determine heat transfer irreversibilities due to<br />

incomplete insulation and large temperature gradients; and to determine mechanical and chemical irreversibilities<br />

in pumps, compressors, and prime movers due to friction and chemical reactions. However, piping and<br />

ancillary viscous losses (irreversibilities) are normally determined through the empirical friction factor material<br />

introduced in Chapter 9 (and found in most fluid mechanics textbooks), and mechanical and thermal losses in<br />

machinery are globally lumped into the empirically determined isentropic efficiency, η s . The application of the<br />

second law to complex engines and turbines is so difficult today that it is not normally used in the engineering<br />

design stage of product development. This will, no doubt, change as technology and engineering analysis<br />

advance in the future.<br />

The thermal efficiency η T is essentially a first law energy conversion efficiency, in that it is concerned with the<br />

effectiveness of an energy conversion process as the ratio of a desired output to a required input. The isentropic<br />

efficiency η s , on the other hand, can be viewed as a second law energy conversion efficiency in that it compares<br />

the actual energy conversion performance of a real (irreversible) device with its idealized reversible counterpart.<br />

Consequently, the primary role of the second law of thermodynamics in the analysis of vapor and gas power<br />

cycles today is through the (largely empirical) determination and use of the isentropic efficiency. Many of the<br />

practical aspects of engineering courses in heat transfer, fluid mechanics, electrical circuit theory, and machine<br />

design today are the result of the consequences of the second law of thermodynamics.

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