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Principles of naval engineering - Historic Naval Ships Association

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PRINCIPLES OF NAVAL ENGINEERINGuniverse is always the same . Regardless <strong>of</strong> themode <strong>of</strong> expression, the principle <strong>of</strong> the conservation<strong>of</strong> energy applies to all kinds <strong>of</strong> energy. ^Energy equations for many thermodynamicprocesses are based directly upon the principle<strong>of</strong> the conservation <strong>of</strong> energy. When the principle<strong>of</strong> the conservation <strong>of</strong> energy is written inequation form, it is known as the general energyequation and is expressed as:energy in = energy outor, in more detail, it may be stated that theenergy entering a system equals the energyleaving the system plus any accumulation andminus any dimunition in the amount <strong>of</strong> energystored within the system.The first law <strong>of</strong> thermodynamics, a specialstatement <strong>of</strong> the principle <strong>of</strong> the conservation<strong>of</strong> energy, deals with the transformation <strong>of</strong>mechanical energy to thermal energy and <strong>of</strong>thermal energy to mechanical energy. The firstlaw is commonly stated as follows: Thermalenergy and mechanical energy are mutuallyconvertible, in the ratio <strong>of</strong> 778 foot-pounds to 1Btu.The ratio <strong>of</strong> conversion between mechanicalenergy and thermal energy is known as themechanical equivalent <strong>of</strong> heat , or Joule's equivalent.It is symbolized by the letter J and, in12 The principle <strong>of</strong> the conservation <strong>of</strong> energy and theprinciple <strong>of</strong> the conservation <strong>of</strong> mass have been basicto the development <strong>of</strong> modern science. Until the establishment<strong>of</strong> the theory <strong>of</strong> relativity, with its implication<strong>of</strong> the mutual convertibility <strong>of</strong> energy and mass,the two principles were considered quite separate.According to the theory <strong>of</strong> relativity, however, theymust be considered merely as two phases <strong>of</strong> a singleprinciple which states that mass and energy areinterchangeable and the total amount <strong>of</strong> matter andenergy in the universe is constant . Nuclear fission,a process in which atomic nuclei split into fragmentswith the release <strong>of</strong> enormous quantities <strong>of</strong> energy,is a dramatic example <strong>of</strong> the actual conversion <strong>of</strong>matter into energy. Even in the familiar process <strong>of</strong>combustion, modern techniques <strong>of</strong> measurement haveled to the discovery that a very minute quantity <strong>of</strong>matter is converted into energy; for example, about0.00007 ounce <strong>of</strong> matter is converted into energy when6 tons <strong>of</strong> carbon are burned with 16 tons <strong>of</strong> oxygen.In spite <strong>of</strong> the mutual convertibility <strong>of</strong> energy andmass, the principle <strong>of</strong> the conservation <strong>of</strong> energy maystill be regarded separately as the cornerstone <strong>of</strong> thescience <strong>of</strong> thermodynamics. Machinery designed underthis principle alone still functions in an orderly andpredictable fashion.SECONDFIRSTFLUIDFIRST FLUID -FIRSTFIRSTFLUID-FLUID-FLUID-98,32Figure 8-6.— Cross flow in heat exchanger.accordance with the first law <strong>of</strong> thermodynamics,it is expressed asorJ =J =778 ft-lb per Btu778 ft-lb1 BtuThe mechanical equivalent <strong>of</strong> heat providesus, directly or by extension, with a number <strong>of</strong>useful numerical values relating to heat, work,and power. Some <strong>of</strong> the most widely used valuesare given here; others may be obtained from<strong>engineering</strong> handbooks and similar publications.1 Btu = 778 ft-lb1 hp = 33,000 ft-lb per min =550 ft-lb per sec1 kw = 1.341 hp1 hp = 2545 Btu per hr =42.42 Btu per min1 kw = 3413 Btu per hr1 kw - 44,256 ft-lb per min1 hp-hr = 2545 Btu1 kw-hr = 3413 BtuThe first law <strong>of</strong> thermodynamics is <strong>of</strong>tenwritten in equation form asU2 - Ui = Q wwhereU. = internal energy <strong>of</strong> a system at the beginning<strong>of</strong> a processU„ = internal energy <strong>of</strong> the system at the end<strong>of</strong> the processQ = net heat flowing into the system duringthe processW = net work done by the system during theprocess172

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