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              Cryogenic Process Engineering                                                                21

              the development of long-life, low-cost cryocoolers for  ous steps in the analysis. Here, T 0 is the reference temper-
              the emerging high-temperature superconductor electronic  ature (normally ambient), ˙ m the mass flow rate through
              market.                                           the system, and 	s the change in entropy through the
                During this same time period, hydrogen sorption cry-  system.
              ocoolers have achieved their first successful operation  Numerous analyses and comparisons of refrigeration
              in space, and closed-cycle, helium, Joule–Thomson cry-  and liquefaction cycles are presented in the literature.
              ocoolers have continued to make progress in promis-  Great care must be exercised in accepting these compar-
              ing long-life space applications in the 4 K temperature  isons since it is quite difficult to place all processes on a
              range. In the commercial area, Gifford–McMahon cry-  strictly comparable basis. Many assumptions are gener-
              ocoolers with rare earth regenerators have made signifi-  ally made in the course of these calculations, and these
              cant progress in opening up the 4 K market.       can have considerable effect on the conclusions. Assump-
                Mixtures of highly polar gases are receiving consider-  tions that generally have to be made include heat leak,
              able attention as refrigerants for Joule–Thomson (J–T)  temperature differences in the exchangers, efficiencies of
              cycles since the magnitude of the J–T coefficient in-  compressors and expanders, number of stages of com-
              creases with nonideality of the gas. New closed-cycle J–  pression, fraction of expander work recovered, state of
              T or throttle-cycle refrigerators have taken advantage of  expander exhaust, purity and condition of inlet gases, and
              these mixed refrigerants to achieve low-cost cryocooler  pressure drop in the various streams. In view of this fact,
              systems in the 65 to 80 K temperature range. Micro-  differences in power requirements of 10 to 20% can be
              miniature J–T cryocoolers have also been developed over  due to differences in assumed variables and can negate the
              the past decade using these mixed refrigerants. Fabrica-  advantage of one cycle over another. A comparison that
              tion of these cryocoolers uses a photolithography pro-  demonstrates this point rather well is shown in Table II,
              cess in which gas channels for the heat exchangers,  which lists some common liquefaction systems described
              expansion capillary, and liquid reservoir are etched on  earlier using air as the working fluid and based on an inlet
              planar glass substrates that are fused together to form  gas temperature and pressure of 294.4 K and 0.1 MPa,
              the sealed refrigerator. These microminiature refrigera-  respectively.
              tors have been fabricated in a wide range of sizes and
              capacities.
                Because of the rapidly increasing availability of cry-  IV. SEPARATION AND PURIFICATION
              ocoolers, numerous new applications have become pos-  OF GASES
              sible; many of these involve infrared imaging systems,
              spectroscopy, and high-temperature superconductors in
                                                                The major industrial application of low-temperature pro-
              the medical and communication fields. Many of these ap-
                                                                cesses involves the separation and purification of gases.
              plications have required additional control of cryocooler-
                                                                Much of the commercial oxygen and nitrogen, and all
              generated vibration and EMI susceptibility.
                                                                the neon, argon, krypton, and xenon, are obtained by the
                                                                distillation of liquid air. Commercial helium is separated
              F. Comparison of Refrigeration and                from helium-bearing natural gas by a well-established
                Liquefaction Systems                            low-temperature process. Cryogenics has also been used
                                                                commercially to separate hydrogen from various sources
              A thermodynamic measure of the quality of a low-
                                                                of impure hydrogen. The low-boiling, valuable compo-
              temperature refrigeration and liquefaction system is its
                                                                nents of natural gas—namely, ethane, ethylene, propane,
              reversibility. The second law, or more precisely the en-
                                                                propylene, and others—are recovered and purified by var-
              tropy increase, is an effective guide to the degree of ir-
                                                                ious low-temperature schemes.
              reversibility associated with such a system. However, to
                                                                  The separation of these gases is dictated by the Gibbs
              obtain a clearer picture of what these entropy increases
                                                                phase rule. The degree to which they separate is based
              mean, it has become convenient to relate such an anal-
                                                                on the physical behavior of the liquid and vapor phases.
              ysis to the additional work required to overcome these
                                                                This behavior is governed, as at ambient temperatures, by
              irreversibilities. The fundamental equation for such an
                                                                Raoult’s and Dalton’s laws.
              analysis is

                                           ˙ m	s         (5)
                          W = W rev + T 0                       A. Air Separation
              where the total work W is the sum of the reversible work  The simplest air separation device is the Linde
              W rev plus a summation of the losses in availability for vari-  single-column system, which utilizes the simple Linde
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