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 Encyclopedia of Physical Science and Technology  EN004D-156  June 8, 2001  15:28






               28                                                                             Cryogenic Process Engineering


               system, although not as critical a component as the others  ments, mechanical design limitations, and economic con-
               mentioned in this section. In simplest terms the expansion  siderations. The principal industrial exchangers finding
               valve resembles a normal valve that has been modified to  use in cryogenic applications are coiled-tube, plate–fin,
               handle the flow of cryogenic fluids. These modifications  reversing, and regenerator types.
               include exposing the high-pressure stream to the lower
               part of the valve seat to reduce sealing problems, a valve  1. Coiled-Tube Exchangers
               stem that has been lengthened and constructed of a thin-
                                                                 Construction of these widely used heat exchangers in-
               walled tube to reduce heat transfer, and a stem seal that is
                                                                 volves winding a large number of tubes in helix fash-
               accomplished at ambient temperatures.
                                                                 ion around a central core mandrel with each exchanger
                                                                 containing many layers of tubes, both along the princi-
               E. Heat Exchangers and Regenerators               pal and radial axes. Pressure drops in the coiled tubes are
                                                                 equalized for each specific stream by using tubes of equal
               One of the more critical components of any low-
                                                                 length and carefully varying the spacing of these tubes in
               temperature liquefaction and refrigeration system is the
                                                                 the different layers. A shell is fitted over the outermost
               heat exchanger. This point is readily demonstrated by con-
                                                                 tube layer, and this shell together with the outside sur-
               sidering the effect of the heat exchanger effectiveness on
                                                                 face of the core mandrel form the annular space in which
               the liquid yield of nitrogen in a simple Linde-cycle liq-
                                                                 the tubes are nested. Coiled-tube heat exchangers offer
               uefaction process operating between a lower and upper
                                                                 unique advantages, especially for those low-temperature
               pressure of 0.1 and 10 MPa, respectively. The liquid yield
                                                                 design conditions where simultaneous heat transfer be-
               under these conditions will be zero whenever the effec-
                                                                 tween more than two streams is desired, a large number
               tiveness of the heat exchanger falls below 90%. (Heat ex-
                                                                 of heat transfer units is required, and high operating pres-
               changer effectiveness is defined as the ratio of the actual
                                                                 sures in various streams are encountered. The geometry of
               heat transfer to the maximum possible heat transfer.)
                                                                 these exchangers can be varied widely to obtain optimum
                 Fortunately, most cryogens, with the exception of he-
                                                                 flow conditions for all streams and still meet heat transfer
               lium II, behave as “classical”fluids. As a result, it has been
                                                                 and pressure drop requirements.
               possibletopredicttheirbehaviorbyusingwell-established
                                                                   Optimization of the coiled-tube heat exchanger is quite
               principles of mechanics and thermodynamics applicable
                                                                 complex. There are numerous variables, such as tube and
               to many room-temperature fluids. In addition, this has per-
                                                                 shell flow velocities, tube diameter, tube pitch, and layer
               mitted the formulation of convective heat transfer correla-
                                                                 spacing. Other considerations include single-phase and
               tions for low-temperature designs of simple heat exchang-
                                                                 two-phase flow, condensation on either the tube or shell
               ers that are similar to those used at ambient conditions and
                                                                 side, and boiling or evaporation on either the tube or shell
               utilize such well-known dimensionless quantities as the
                                                                 side. Additional complications come into play when mul-
               Nusselt, Reynolds, Prandtl, and Grashof numbers.
                                                                 ticomponent streams are present, as in natural gas lique-
                 However, the requirements imposed by the need to op-
                                                                 faction, since mass transfer accompanies the heat transfer
               erate more efficiently at low temperatures has made the use
                                                                 in the two-phase region.
               of simple exchangers impractical in many cryogenic ap-
                                                                   Many empirical relationships have been developed to
               plications. In fact, some of the important advances in cryo-
                                                                 aid the optimization of coiled-tube exchangers under
               genic technology are directly related to the development
                                                                 ambient conditions. Many of the same relationships are
               of rather complex but very efficient types of heat exchang-
                                                                 currently being used in low-temperature applications as
               ers. Some of the criteria that have guided the development
                                                                 well. A number of these relationships are tabulated in
               of these units for low-temperature service are (1) a small
                                                                 readily available cryogenic texts. However, no claim is
               temperature difference at the cold end of the exchanger
                                                                 made that these relationships will be more suitable than
               to enhance efficiency, (2) a large ratio of heat-exchange
                                                                 others for a specific design. This can be verified only by
               surface area to heat-exchanger volume to minimize heat
                                                                 experimental measurements on the heat exchanger.
               leak, (3) a high heat-transfer rate to reduce surface area,
               (4) a low mass to minimize start-up time, (5) multichan-
                                                                   2. Plate–Fin Exchangers
               nel capability to minimize the number of exchangers, (6)
               high-pressure capability to provide design flexibility, (7) a  These types of heat exchangers normally consist of heat-
               low or reasonable pressure drop to minimize compression  exchange surfaces obtained by stacking alternate layers of
               requirements, and (8) minimum maintenance to minimize  corrugated, high-uniformity, die-formed aluminum sheets
               shutdowns.                                        (fins) between flat aluminum separator plates to form in-
                 The selection of an exchanger for low-temperature op-  dividual flow passages. Each layer is closed at the edge
               eration is normally determined by process design require-  with solid aluminum bars of appropriate shape and size.
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