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Handbook of Turbomachinery Second Edition Revised - Ventech!

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First Law <strong>of</strong> Thermodynamics<br />

The first law <strong>of</strong> thermodynamics or the law <strong>of</strong> conservation <strong>of</strong> energy states<br />

that energy can neither be created nor destroyed. It describes the change <strong>of</strong><br />

energy between forms (heat to work and work to heat) and allows for<br />

accounting for the transfer <strong>of</strong> energy to and from a system and changes <strong>of</strong><br />

energy within a system. One typical form <strong>of</strong> the first law is<br />

Where<br />

DQ ¼ W* þ DU ð1Þ<br />

DQ ¼ heat added to the system.<br />

W ¼ work done by the system to the surroundings.<br />

DU ¼ increase in energy storage within the system.<br />

A useful property for flow processes, such as in steam turbines, is the<br />

concept <strong>of</strong> enthalpy. Enthalpy per unit mass is defined as<br />

Where<br />

H*%u þ Pv ð2Þ<br />

H* ¼ enthalpy.<br />

u ¼ internal energy per unit <strong>of</strong> mass.<br />

P ¼ pressure.<br />

v ¼ volume per unit mass.<br />

In the case <strong>of</strong> an ideal flow system with no heat exchange with the<br />

surroundings or change in potential or kinetic energy, the work done by the<br />

system is the change in enthalpy between two states:<br />

W ¼ Dh ð3Þ<br />

<strong>Second</strong> Law <strong>of</strong> Thermodynamics<br />

Simply stated, the second law <strong>of</strong> thermodynamics is that not all <strong>of</strong> a given<br />

quantity <strong>of</strong> heat can be converted to useful work. The second law <strong>of</strong><br />

thermodynamics places strict limits on the available performance <strong>of</strong> any<br />

heat engine, including a steam turbine. For example, one <strong>of</strong> the implications<br />

<strong>of</strong> the second law is that all real cycles must reject heat. The second law is<br />

typically discussed by considering the entropy <strong>of</strong> a thermodynamic system.<br />

Entropy is defined as the quantity <strong>of</strong> heat added during a reversible process<br />

Copyright © 2003 Marcel Dekker, Inc.

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