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               20                                                                             Cryogenic Process Engineering


















                                                                   FIGURE 8 Mixed refrigerant cycle for liquefying natural gas.
                   FIGURE 6 Cascade compressed vapor refrigerator.
                                                                 of pressure levels employed. The actual work required
               seals, thereby minimizing lubrication problems. Another  for  the  nine-level  cascade  cycle  depicted  in  Fig.  7b  is
               modification of the basic Claude cycle is the dual-pressure  ∼80% of that required by the three-level cascade cycle
               cycle utilizing the same principle as shown for the simple  depicted in Fig. 7a for the same throughput. The cascade
               Linde cycle in Fig. 3. Still another extension of the Claude  system can be adapted to any cooling curve; that is, the
               cycle is the Collins helium liquefier. Depending on the he-  quantity of refrigeration supplied at the various tempera-
               lium inlet pressure, from two to five expansion engines are  ture levels can be chosen so that the temperature differ-
               used to provide the cooling needed in the system.  ences in the evaporators and heat exchangers approach a
                                                                 practical minimum (smaller temperature differences re-
                                                                 sult in lower irreversibility and therefore lower power
               D. Mixed Refrigerant Cycle
                                                                 consumption).
               Another cycle that has been used exclusively for large  The mixed refrigerant cycle (Fig. 8) is a variation of the
               natural gas liquefaction plants is the mixed refrigerant cy-  cascade cycle just described and involves the circulation of
               cle. Since this cycle resembles the classic cascade cycle  a single mixed refrigerant stream, which is repeatedly con-
               in principle, it can best be understood by reference to a  densed, vaporized, separated, and expanded. As a result,
               simplified flow sheet of that cycle presented in Fig. 6.  such processes require more sophisticated design meth-
                 After purification, the natural gas stream is cooled  ods and more complete knowledge of the thermodynamic
               successively by vaporization of propane, ethylene, and  properties of gaseous mixtures than expander or cascade
               methane. Each of these gases, in turn, has been liquefied  cycles. Also, such processes must handle two-phase mix-
               in a conventional refrigeration loop. Each refrigerant may  tures in heat exchangers. Nevertheless, simplification of
               be vaporized at two or three pressure levels to increase the  the compression and heat exchange services in such cycles
               natural gas cooling efficiency, but at a cost of considerably  generally offers potential for reduced capital expenditure
               increased process complexity.                     over conventional cascade cycles.
                 Cooling curves for natural gas liquefaction by the cas-
               cade process are shown in Fig. 7a,b. It is evident that the
                                                                 E. Cryocoolers
               cascade cycle efficiency can be considerably improved
               by increasing the number of refrigerants or the number  Mechanical coolers are generally classified as regenera-
                                                                 tive or recuperative. Regenerative coolers use reciprocat-
                                                                 ing components that periodically move the working fluid
                                                                 back and forth in a regenerator. The recuperative cool-
                                                                 ers, on the other hand, use countercurrent heat exchang-
                                                                 ers to perform the heat-transfer operation. The Stirling
                                                                 and Gifford–McMahon cycles are typically regenerative
                                                                 coolers, while the Joule–Thomson and Brayton cycles are
                                                                 associated with recuperative coolers.
                                                                   The past few years have witnessed an enhanced interest
                                                                 in pulse tube cryocoolers following the achievement by
                                                                 TRW of high-efficiency, long-life pulse tube cryocoolers
               FIGURE 7 Three-level (a) and nine-level (b) cascade cycle cool-  based on the flexure-bearing, Stirling-cooler compressors
               ing curves for natural gas.                       developed at Oxford University. This interest has initiated
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