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(766)
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Throttling When a uid ows from a region of higher pressure into a region of lower pressure through a valve or similar constricted passage, it is said to be throttled or withdrawn Equation (764) is applicable to the throttling process and since V2 and V1 are practically equal, h1 h2 (767)
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ie, in a throttling process there is no change in enthalpy For a mixture of liquid and vapor, the equation of throttling is h 1 x1 h g1 h 2 x2 h g2 (768)
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POWER CYCLES*
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1 Heat Engine According to the rst law of thermodynamics, when a system undergoes a complete cycle, the net heat supplied is equal to the net work done This is based on the conservation of energy principle, which follows from the
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* This section is based in part on Engineering Thermodynamics 2d ed, by W C Reynolds and H C 1977; in part on Engineering Manual, 3d ed, by R H Perry, copyright 1976; in Perkins, copyright part on Perry s Chemical Engineers Handbook, 6th ed, by R H Perry and D W Green, copyright 1984; and in part on Marks Standard Handbook for Mechanical Engineers, 9th ed, by E A Avallone and T 1987 All material used by permission of McGraw-Hill, Inc All rights Baumeister III (eds), copyright reserved The section is also based in part on Heat Transfer Characteristics of Working Fluids for OTEC, by E N Ganic, copyright 1980 by ASME Used by permission of ASME All rights reserved
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CHAPTER SEVEN
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observation of natural events The second law of thermodynamics, which is also a natural law, indicates that, although the net heat supplied in a cycle is equal to the net work done, the gross heat supplied must be greater than the net work done [see Eq (711)]; some heat must always be rejected by the system To explain and analyze the second law and analyze power cycles, this chapter next discusses heat engine A heat engine is a system operating in a complete cycle and developing net work from a supply of heat The second law implies that a source of heat supply and the rejection of heat are both necessary, since some heat must always be rejected by the system Therefore, it is impossible for a heat engine to produce net work in a complete cycle if it exchanges heat only with bodies (reservoirs) at a single xed temperature A diagrammatic representation of a heat engine is shown in Fig 77 The rst and second laws apply equally well to cycles working in the reverse direction of those applicable to a heat engine In the case of a reversed cycle, net work is done on the system which is equal to the net heat rejected by the system Such cycles occur in heat pumps and refrigerators A diagrammatic representation of a heat pump (or refrigerator) is shown in Fig 78
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2 Ideal Gas Cycles The analysis of real power cycles can often be approxi-
mated by idealized cycles, using ideal gases as working uids Several such approximations are of interest Carnot Cycle This cycle consists of four processes, two isothermal and two isentropic, as shown in Fig 79 A detailed analysis of the cycle shows that qnet q1-2 q2-3 w1-2 w3-4 u3 u2 q1-4 T1 T1 wnet q3-4 w2-3 cv(T2 cv(T4 0 w4-1 T2 u1 (T3 0 p2v2 ln T1) T3) u4 p4v4 ln T3 T3 0 p4 p1 p2 p3 T4)R ln p2 p3
Otto Cycle This cycle consists of two isentropic and two constant-volume processes, as shown in Fig 710, and is often used as a representation of a sparkignition engine
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