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E-type shells in shell-and-tube heat exchangers: Ebert and Panchal equation, for crude oil fouling, Eckert number, Eddy viscosity: Eddy diffusivity, of heat, Edge, D, Edwards, D K EEC code for thermal design of heat exchangers, Effective diffusivity, Effective thermal conductivity of fixed beds, Effective tube length in shell-and-tube heat exchangers, Effectiveness of a heat exchanger: Efficiency of fins, Eicosane: Eicosene: Ejectors, in flash distillation plant, EJMA (Expansion Joint Manufacturers Association), standards for expansion bellows Elastic properties of solids: El-Dessouky, H, Electrical enhancement processes, in heat transfer augmentation, Electric fields, effect on properties of rheologically complex materials, Electric fields, in augmentation of condensation, Electrical process heater, specification of, Electrokinetics, for heat transfer augmentation in microfluidic systems, Electromagnetic theory of radiation, Electrostatic fields in augmentation of heat transfer, Elements: Elhadidy relation between heat and momentum transfer, Embedding methods for radiative heat transfer in nonisothermal gases, Embittlement, of stainless steels, Emission of thermal radiation, in solids, Emissivity: Emitting media, interaction phenomena with, Emulsions, viscosity of, EN13445 (European Pressure Vessel Codes), design of heat exchangers to, Enclosures: Energy equation: Energy recovery, maximum, in heat exchanger network design, Enhanced surfaces, fouling in, Enhancement devices: Enlargements in pipes: Enthalpy: Entrainment in annular gas-liquid flow Entrance effects in heat and mass transfer: Entrance lengths, hydrodynamic in pipe flow, Entrance losses for tube inlet in shell-and-tube heat exchanger, Entry losses in plate heat exchangers, Entropy generation and minimisation Environmental impact, of fouling, Eotvos number: Epstein, N, Epstein matrix, for fouling, Equalizing rings, for expansion bellows, Equilibrium interphase: Equilibrium vapor nucleus, Equivalent sand roughness, Ergun equation, for pressure drop in fixed beds ESDU correlations: Esters: Ethane: Ethanol: Ethers: Ethyl acetate: Ethylacetylene: Ethylacrylate: Ethylamine: Ethylbenzene: Ethyl benzoate: Ethyl butanoate: Ethylcyclohexane: Ethylcyclopentane: Ethyl formate: Ethylene: Ethylene diamine: Ethylene glycol: Ethylene oxide: Ethylmercaptan: 1-Ethylnaphthalene: 2-Ethylnaphthalene: Ethyl proprionate: Ethyl propylether: Ettouney, H, Euler number: Eutectic mixtures, condensation of forming immiscible liquids, Evaporation: Evaporative crystallisers, Evaporators: Exergy, definition of, Exergy analysis, Exit losses for tubes in shell-and-tube exchanger, Expansion bellows, for shell-and-tube heat exchangers: EJMA (Expansion Joint Manufacturers Association), standards for Expansion joints, mechanical design of: Expansion of tubes into tube sheets: Expansion turbine, lost work in, Explosively clad plate, Explosive welding of tubes into tube sheets Explosive expansion joints, Extended surfaces (see also Fins) Externally induced convection, in kettle reboilers, Extinction coefficient, Extinction efficiency, Eyring fluid (non-Newtonian),

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A B C D E
E-type shells in shell-and-tube heat exchangers: Ebert and Panchal equation, for crude oil fouling, Eckert number, Eddy viscosity: Eddy diffusivity, of heat, Edge, D, Edwards, D K EEC code for thermal design of heat exchangers, Effective diffusivity, Effective thermal conductivity of fixed beds, Effective tube length in shell-and-tube heat exchangers, Effectiveness of a heat exchanger: Efficiency of fins, Eicosane: Eicosene: Ejectors, in flash distillation plant, EJMA (Expansion Joint Manufacturers Association), standards for expansion bellows Elastic properties of solids: El-Dessouky, H, Electrical enhancement processes, in heat transfer augmentation, Electric fields, effect on properties of rheologically complex materials, Electric fields, in augmentation of condensation, Electrical process heater, specification of, Electrokinetics, for heat transfer augmentation in microfluidic systems, Electromagnetic theory of radiation, Electrostatic fields in augmentation of heat transfer, Elements: Elhadidy relation between heat and momentum transfer, Embedding methods for radiative heat transfer in nonisothermal gases, Embittlement, of stainless steels, Emission of thermal radiation, in solids, Emissivity: Emitting media, interaction phenomena with, Emulsions, viscosity of, EN13445 (European Pressure Vessel Codes), design of heat exchangers to, Enclosures: Energy equation: Energy recovery, maximum, in heat exchanger network design, Enhanced surfaces, fouling in, Enhancement devices: Enlargements in pipes: Enthalpy: Entrainment in annular gas-liquid flow Entrance effects in heat and mass transfer: Entrance lengths, hydrodynamic in pipe flow, Entrance losses for tube inlet in shell-and-tube heat exchanger, Entry losses in plate heat exchangers, Entropy generation and minimisation Environmental impact, of fouling, Eotvos number: Epstein, N, Epstein matrix, for fouling, Equalizing rings, for expansion bellows, Equilibrium interphase: Equilibrium vapor nucleus, Equivalent sand roughness, Ergun equation, for pressure drop in fixed beds ESDU correlations: Esters: Ethane: Ethanol: Ethers: Ethyl acetate: Ethylacetylene: Ethylacrylate: Ethylamine: Ethylbenzene: Ethyl benzoate: Ethyl butanoate: Ethylcyclohexane: Ethylcyclopentane: Ethyl formate: Ethylene: Ethylene diamine: Ethylene glycol: Ethylene oxide: Ethylmercaptan: 1-Ethylnaphthalene: 2-Ethylnaphthalene: Ethyl proprionate: Ethyl propylether: Ettouney, H, Euler number: Eutectic mixtures, condensation of forming immiscible liquids, Evaporation: Evaporative crystallisers, Evaporators: Exergy, definition of, Exergy analysis, Exit losses for tubes in shell-and-tube exchanger, Expansion bellows, for shell-and-tube heat exchangers: EJMA (Expansion Joint Manufacturers Association), standards for Expansion joints, mechanical design of: Expansion of tubes into tube sheets: Expansion turbine, lost work in, Explosively clad plate, Explosive welding of tubes into tube sheets Explosive expansion joints, Extended surfaces (see also Fins) Externally induced convection, in kettle reboilers, Extinction coefficient, Extinction efficiency, Eyring fluid (non-Newtonian),
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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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