Working Fluid - Work

Work

The working fluid can be used to output useful work if used in a turbine. Also, in thermodynamic cycles energy may be input to the working fluid by means of a compressor. The mathematical formulation for this may be quite simple if we consider a cylinder in which a working fluid resides. A piston is used to input useful work to the fluid. From mechanics, the work done from state 1 to state 2 of the process is given by

Where ds is the incremental distance from one state to the next and F is the force applied. The negative sign is introduced since in this case a decrease in volume is being considered. The situation is shown in the figure which follows.

The force is given by the product of the pressure in the cylinder and its cross sectional area such that



Where A.ds = dV is the elemental change of cylinder volume. If from state 1 to 2 the volume increases then the working fluid actually does work on its surroundings and this is commonly denoted by a negative work. If the volume decreases the work is positive. By the definition given with the above integral the work done is represented by the area under a pressure - volume diagram. If we consider the case where we have a constant pressure process then the work is simply given by



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Famous quotes containing the word work:

    Evil gains work their punishment.
    Sophocles (497–406/5 B.C.)

    The critic lives at second hand. He writes about. The poem, the novel, or the play must be given to him; criticism exists by the grace of other men’s genius. By virtue of style, criticism can itself become literature. But usually this occurs only when the writer is acting as critic of his own work or as outrider to his own poetics, when the criticism of Coleridge is work in progress or that of T.S. Eliot propaganda.
    George Steiner (b. 1929)

    Work, as we usually think of it, is energy expended for a further end in view; play is energy expended for its own sake, as with children’s play, or as manifestation of the end or goal of work, as in “playing” chess or the piano. Play in this sense, then, is the fulfillment of work, the exhibition of what the work has been done for.
    Northrop Frye (1912–1991)