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F-correction method: F-factor charts and equations for various heat exchanger configurations, F-factor method: F-type shells: Fabrication: Failure modes of heat exchangers, Falling films, direct contact heat transfer in, Falling film evaporator: Fanno flow, Fans in air-cooled heat exchangers: Fatigue as failure mode of a heat exchanger Fatigue life, of expansion bellows, Fawcett, R Fedor's method, for critical temperature, Fenghour, A Ferritic stainless steels, as material of construction, Fick's law for diffusion, Film boiling: Film model, condenser design by Film temperature, definition of for turbulent flow over flat plate, Films in heat exchangers, Filmwise condensation: Fincotherm, heat transfer medium, Finite-difference equations: Finite difference methods: Finite-element methods: Fins (see also Extended surfaces): Fire-tube boiler, Fired heaters, Fires, room, radiation interaction phenomena in, Firsova, E V, Fixed beds: Fixed tubesheet, shell-and-tube exchangers: Flanges, mechanical design of in heat exchangers, Flash evaporation Flat absorber of thermal radiation, Flat heads: Flat plate: Flat reflector of thermal radiation, Floating head designs for shell-and-tube heat exchangers: Flooded type evaporator, in refrigeration, Flooding phenomena: Flow distribution: Flow-induced vibration, Flow regimes: Flow stream analysis method for segmentally baffled shell and tube heat exchangers, Flue gases, fouling by, Fluid elastic instability as source of flow-induced vibration, Fluid flow, lost work in, Fluid mechanics, Eulerian formulation for, Fluid-to-particle heat transfer in fluidized beds, Fluidized bed dryer: Fluidized bed gravity conveyors, Fluidized beds: Fluids: Fluorine: Fluorobenzene: Fluoroethane (Refrigerant 161): Fluoromethane (Refrigerant 41): Fluted tubes: Flux method, for modeling radiation in furnaces, Flux relationships in heat exchangers, Fogging in condensation Food processing, fouling of heat exchangers in, Forced flow reboilers: Formaldehyde: Formamide: Formic acid: Forster and Zuber correlation for nucleate boiling, Fouling, Foam systems, heat transfer in, Four phase flows, examples, Fourier law for conduction Fourier number (Fo): Frames for plate heat exchangers, France, guide to national practice for mechanical design, Free convection: Free-fall velocity, of particles, Free-stream turbulence, effect on flow over cylinders, Freeze protection of air-cooled heat exchangers, Freezing, of condensate in condensers Fresnel relations in reflection of radiation, Fretting corrosion, Friction factor: Friction multipliers in gas-liquid flow: Friction velocity, definition, Friedel correlation for frictional pressure gradient in straight channels, Froude number: Fuels, properties of, Fuller, R K, Furan: Furfural: Furnaces: Fusion welding, of tubes into tubesheets in shell-and-tube heat exchangers,

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A B C D E F
F-correction method: F-factor charts and equations for various heat exchanger configurations, F-factor method: F-type shells: Fabrication: Failure modes of heat exchangers, Falling films, direct contact heat transfer in, Falling film evaporator: Fanno flow, Fans in air-cooled heat exchangers: Fatigue as failure mode of a heat exchanger Fatigue life, of expansion bellows, Fawcett, R Fedor's method, for critical temperature, Fenghour, A Ferritic stainless steels, as material of construction, Fick's law for diffusion, Film boiling: Film model, condenser design by Film temperature, definition of for turbulent flow over flat plate, Films in heat exchangers, Filmwise condensation: Fincotherm, heat transfer medium, Finite-difference equations: Finite difference methods: Finite-element methods: Fins (see also Extended surfaces): Fire-tube boiler, Fired heaters, Fires, room, radiation interaction phenomena in, Firsova, E V, Fixed beds: Fixed tubesheet, shell-and-tube exchangers: Flanges, mechanical design of in heat exchangers, Flash evaporation Flat absorber of thermal radiation, Flat heads: Flat plate: Flat reflector of thermal radiation, Floating head designs for shell-and-tube heat exchangers: Flooded type evaporator, in refrigeration, Flooding phenomena: Flow distribution: Flow-induced vibration, Flow regimes: Flow stream analysis method for segmentally baffled shell and tube heat exchangers, Flue gases, fouling by, Fluid elastic instability as source of flow-induced vibration, Fluid flow, lost work in, Fluid mechanics, Eulerian formulation for, Fluid-to-particle heat transfer in fluidized beds, Fluidized bed dryer: Fluidized bed gravity conveyors, Fluidized beds: Fluids: Fluorine: Fluorobenzene: Fluoroethane (Refrigerant 161): Fluoromethane (Refrigerant 41): Fluted tubes: Flux method, for modeling radiation in furnaces, Flux relationships in heat exchangers, Fogging in condensation Food processing, fouling of heat exchangers in, Forced flow reboilers: Formaldehyde: Formamide: Formic acid: Forster and Zuber correlation for nucleate boiling, Fouling, Foam systems, heat transfer in, Four phase flows, examples, Fourier law for conduction Fourier number (Fo): Frames for plate heat exchangers, France, guide to national practice for mechanical design, Free convection: Free-fall velocity, of particles, Free-stream turbulence, effect on flow over cylinders, Freeze protection of air-cooled heat exchangers, Freezing, of condensate in condensers Fresnel relations in reflection of radiation, Fretting corrosion, Friction factor: Friction multipliers in gas-liquid flow: Friction velocity, definition, Friedel correlation for frictional pressure gradient in straight channels, Froude number: Fuels, properties of, Fuller, R K, Furan: Furfural: Furnaces: Fusion welding, of tubes into tubesheets in shell-and-tube heat exchangers,
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Arrangements

DOI 10.1615/hedhme.a.000271

3.5.3 Arrangements for thermal economy

This section deals with steam economy in evaporators. An evaporation system converts a dilute solution into a concentrated solution or solid phase together with recovered solvent. The theoretical minimum energy required for this process is equal to the difference in total energy of the initial and final streams, which is the heat of dilution or solution together with any sensible heat due to the difference between feed and product temperatures. The energy usage of a conventional single stage evaporator is much greater than this, largely because, in such a simple arrangement, the latent heat of evaporation of the solvent is wasted. In order to improve the economics of the process, many evaporation plants are arranged to utilise some or all of this latent heat. This is normally achieved either by arranging several evaporators in multiple effect, as described in Section A, or by vapour recompression, as described in Section B. Further information on these topics and the calculations needed have been published in standard text books, for example Chilton and Perry (1999) and McCabe and Smith (1976). The advantages of flash evaporation are briefly considered in Section C.

A. Multiple-effect evaporation

In multiple effect evaporation, the concentration process takes place in several evaporators, or "effects" . The steam generated in the first effect is used as the heating medium for the second effect, and so on; only the steam from the last effect passes to the condenser. Thus steam consumption, ideally, is reduced by a factor approaching the number of effects. In order to maintain a temperature difference, each stage must operate at a pressure lower than in the previous stage. Consequently, the available temperature difference per effect is less with multiple - than with single-effect evaporation, so that a larger total surface area is needed. Furthermore, the actual amount of steam evaporated in each effect is somewhat less than that in the previous effect, because a certain amount of feed pre-heating may be necessary, because the latent heat increases with decreasing pressure, and because of heat losses. The reduction factor on steam use will be of the order of \(1/\mbox{n}^{\rm{R}}\), where \(\mbox{n}\) is the number of stages and \(\rm{R}\) is typically 0.75 - 0.95. The economic number of stages can be determined by balancing the saving in fuel costs against the extra capital charges. The maximum number of stages is governed by the temperature of the steam fed to the first effect and/or the maximum temperature to which the feed can be subjected, the need to maintain an adequate temperature difference across the heat exchanger of each stage in order to ensure boiling and the minimum pressure and hence temperature considered reasonable for the final stage or the temperature of the cooling water for the final condenser. Domestic salt evaporator trains having five or more effects are common.

There are three principal feeding systems in use in multiple effect evaporation. In forward feed, the liquor being concentrated and the vapour produced run in co-current, parallel flow from each effect to the next, as shown in Figure 1(a). In backward feed, Figure 1(b), the liquor and vapour are in counter-current flow, and this necessitates the installation of a liquor pump between each stage, because the liquor must rise in pressure in going from one effect to the next. In parallel feed, Figure 1(c), fresh liquor is fed to each effect, the liquor entering each effect thus being at the same concentration, but each successive effect operating at a lower temperature and pressure.

Figure 1 Alternative arrangements for a triple effect evaporator

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