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Principles of naval engineering - Historic Naval Ships Association

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Chapter 8- INTRODUCTION TO THERMODYNAMICSdesirable. We will consider first a classification<strong>of</strong> processes according to the type <strong>of</strong> flow andthen consider a classification according to thetype <strong>of</strong> state change. Discussion <strong>of</strong> processes as"reversible" or "irreversible" isreservedfora later section.Type <strong>of</strong> FlowWhen classified according to type <strong>of</strong> flow <strong>of</strong>the working fluid, thermodynamic processes maybe considered under the general headings <strong>of</strong> (1)non-flow processes, and (2) steady-flow processes.A non-flow process is one in which the workingfluid does not flow into or out <strong>of</strong> its containerin the course <strong>of</strong> the process. The same molecules<strong>of</strong> the working fluid that were present at the beginning<strong>of</strong> the process are therefore present atthe end <strong>of</strong> the process. Non-flow processes occurin reciprocating steam engines, air compressors,internal combustion engines, and otherkinds <strong>of</strong> machinery. Since apiston-and-cylinderarrangement is typical <strong>of</strong> most non-flow processes,let us examine a non-flow process suchas might occur in the cylinder shown in figure8-7.Suppose that we move the cylinder fromposition 1 to position 2, thereby compressingthe fluid contained in the cylinder above thepiston. Suppose, further, that we imagine thisto be a completely ideal process, and one whichis thus entirely without friction. The aspects<strong>of</strong> this process that we might want to know aboutare (1) the heat added or removed in the course<strong>of</strong> the process; (2) the work done on the workingfluid or by the working fluid; and (3) the netchange in the internal energy <strong>of</strong> the workingsubstance.From the general energy equation, we knowthat energy in must equal energy out. For thenon-flow process, the general energy equationmay be written aswhereQl2 = (^2 - Uj) +Wk12BtuQl2 " total heat transferred, in Btu (positive ifheat is added during process, negative ifheat is removed during process)Ui = total internal energy, in Btu, at state 1U2 = total internal energy, in Btu, at state 2Ug — U. = net change in internal energy fromstate 1 to state 2W.C 12 = work done between state 1 and state 2,in ft-lb (positive if work is done by theworking substance, negative if work isdone on the working substance)'•..• .•: ;--^WORKINGSUBSTANCE&,}^&(BEFORE •^2S'^'- COMPRESSION) '3-\'m^i'ri.^>i^'j WORKING ^*>i>f4« SUBSTANCE liffi|M (AFTER ^J,.!!*-.COMPRESSION) RSJ = the mechanical equivalent <strong>of</strong> heat, 778 ft-lbper BtuWk12= total work done by or on the working"^substance, in Btu (positive if work isdone by the substance, negative ifwork is done on the substance)©©147.16.0Figure 8-7.— Piston-and-cylinder arrangementfor non-flow process.This equation deals with total heat, totalwork, and total internal energy. K it is moreconvenient to make calculations in terms <strong>of</strong> 1pound <strong>of</strong> the working substance, we would writethe equation as42wk12(U2 - Uj )Btu per lbwhere the value <strong>of</strong> J remains the same andwhere q, u, and wk have the general meanings175

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