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A B C D E F G H I J K L M N O P
Packaged units, specification of, Packing characteristic, in cooling towers, Packings, for cooling towers Packings, for fixed beds: Packinox heat exchanger, Paints, spectral characteristics of reflectance of surfaces treated with, Palen, J W Panchal, C B, Paraffins, normal and isonormal: Paraldehyde: Parallel channel instability, in condensers, Partial boiling in subcooled forced convective heat transfer, Participating media, radiation interaction in, Particle convective component, in heat transfer from fluidized beds, Particle emissivity, Particle Reynolds number in fixed beds, Particles: Particulate fluidization, Particulate fouling, Pass arrangements, in plate heat exchangers, Passes, tube side, Passive methods, for augmentation of heat transfer, passive systems for: PD5500 mechanical design of shell-and-tube heat exchangers to, Peacock, D K, Pearson number, Peclet number Peng-Robinson equation of state, application to hydrocarbons, Penner's rule, in absorption of radiation by gases, Pentachloroethane (Refrigerant 120): Pentadecane: Pentadecene: Pentadiene 1, 2: Pentadiene 1, trans 3: Pentadiene 1, 4: Pentadiene 2-3: Pentafluoroethane (Refrigerant 125) Pentamethylbenzene: Pentane: Pentanoic acid: 1-Pentanol: 1-Pentene: cis-2-Pentene: trans-2-Pentene: Pentylacetate: Pentylbenzene: Pentylcyclohexane: Pentylcyclopentane: Pentylcyclopropane, liquid properties, Perforated fins, in plate fin heat exchangers, Perforated plates, loss coefficients in, Periodic operation, of regenerator, Periodic variations in temperature, thermal conduction in bodies with, PFR correlation, for heat transfer in high fin tube banks, Pharmaceutical industry, fouling of heat exchangers in, Phase change materials, in augmentation of heat transfer, Phase change number, Phase equilibrium: Phase inversion Phase separation, as source of corrosion problems, Phenol: Phenols: Phenylhydrazine: Phonons, in thermal conductivity of solids, Phosgene: Physical properties: Pi theorum, in dimensional analysis, Pinch analysis, for heat exchanger network design, Pioro, I L Pioro, LS, Pipe leads, Piperidine: Pipes, circular: Pipes, noncircular: Piping components: Pitting corrosion, in stainless steels, Planck's constant, Planck's law, for spectral distribution of blackbody radiation, Plane shells, steady-state thermal conduction in, Plastic deformation Plate fin heat exchangers Plate fins, efficiency, Plate heat exchangers: Plate evaporator Plates: Plug flow: Plug flow model, for furnaces, Pneumatic conveyance, Pneumatic conveying dryer, P-NTU method: Polarization, of thermal radiation, Polyglycols, as heat transfer media, Polymers: Pool boiling, Porous surfaces: Port arrangements, in plate heat exchangers, Portable fouling unit, Poskas, P, Postdryout heat transfer: Powders: Power law fluid (non-Newtonian), Power plant: Prandtl number Precipitation (crystallization) fouling, Precipitation hardening, of stainless steels, Pressure coefficient: Pressure control of condensers, Pressure drop: Pressure gradient: Pressure, specification of in mechanical design to EN13445, Pressure testing, Pressure vessels, principle codes for, Pressurised water reactor, fouling in, Printed circuit heat exchanger, Problem table algorithm, in pinch analysis, Process heaters: Progressive plastic deformation Prolate spheroids, free convective heat transfer from, Promoters, in dropwise condensation, Propadiene: Propane: 1-Propanol: 2-Propanol: Propeller agitator, Property ratio method, for temperature dependent physical property Propionaldehyde: Propionic acid: Propionic anhydride: Proprionitrile: Propyl acetate: Propylamine: Propylbenzene: Propylcyclohexane: Propylcyclopentane: Propylene: 1,3-Propylene glycol: Propylene oxide: Propyl formate: Propyl propionate: Pseudo-boiling in supercritical fluids, Pseudo-film boiling in supercritical fluids, Pseudocritical pressure, Pseudocritical tempertaure, Pugh, S F Pulp and paper industry, fouling of heat exchangers in, Pulsations, use in augmentation of heat transfer, Pulverized fuel water-tube boiler, Pumping, lost work in, Pushkina and Sorokin correlation, for flooding in vertical tubes, Pyramid, free convective heat transfer from, Pyridine:
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Assessing lost work in unit operations

DOI 10.1615/hedhme.a.000134

1.9.5 Assessing lost work in unit operations

A. Overview

A unit operation is a sub-element of a complete process, which is defined by a boundary or envelope circumscribing it. Material and energy may cross this boundary. The exergy entering the unit operation envelope via the feed streams or any work done on it will exceed the exergy leaving the envelope by a certain amount. This is the lost work. As we know, unit operations are hooked together in a chain or network to make a complete process. There is a logical direction for the flow of materials and energy — and therefore of exergy through the process. The final elements (unit operations) from which the products are delivered will require a net exergy input to deliver the products under the correct conditions and purities, and to offset the irreversibilities arising within its envelope. The exergy needed by this “final step” must be provided as external work supply or as an input in the streams entering that unit operation’s envelope from preceding unit operations. It thus becomes evident that the irreversibilities in a final step can have a “knock on” effect on the work which has to be done by preceding steps, which themselves are to some extent irreversible — and so on. There is often a compounding effect as one works backwards (in the sense of exergy flow) through the process. This is sometimes expressed by the statement “irreversibilities breed irreversibilities”. The issue is further developed and formalized by Kotas (1986), using the concept Coefficients of Structural Bonds, or CSB. Basically, this coefficient is the ratio of the change in irreversibility rate for the plant as a whole — to the change in a particular component, when one of the design parameters on that component is varied. This concept is intriguing for those wishing to pursue work in the exergy field, but for the rest, it is probably more of academic than of practical interest.

Exergy flow through a process can sometimes be conveniently depicted on a so-called “Grassmann diagram” see Figure 1. This is a development of the “Sankey” diagram used to show heat flow and losses (First Law).

Figure 1 Grassmann diagram

Recently some workers in the field have used exergy as means to assess the overall lifetime costs of a piece of equipment. This takes account not only of the exergy destroyed during its operation but also of the exergy consumed in manufacturing it from raw materials. See Cornelissen (1995).

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