Different
methods have been proposed in the literature for the
calculation of phase envelopes of mixtures. The phase envelopes of
even simple mixtures have at least two stationary points on the P–T plane [∂P/∂T = 0 at the point of maximum pressure
(cricondenbar) and ∂T/∂P = 0 at the point of maximum temperature (cricondentherm)]. Even
more stationary points exist for complex mixtures. Therefore, a monotonic
variation of either pressure or temperature cannot be used to trace
the full phase envelope. Different methods have been proposed in the
literature to help choose the right variable at the right location
of the phase envelope to automatically trace the entire phase envelope.
Although most methods work well for simple mixtures, many of them
do not work well with wide-boiling mixtures or with mixtures that
exhibit open-ended dew lines. In this article, we compare phase envelopes
with space curves and show that the use of an independent variable
helps trace complex phase envelopes automatically. It is shown that
density is the ideal independent variable. A density-based method
is developed to determine saturation points and automatically construct
complex phase envelopes. The proposed method has immediate application
in property programs and process simulators and was implemented in
version 9.1 of NIST REFPROP property program released in May 2013.
In this paper, a comprehensive review of the principles of different refrigeration methods covering the temperature range from 4 K to 300 K is presented. The methods covered are based on steady state systems, such as the Carnot cycle, the vapor compression cycles: basic, cascade, and mixed gas refrigeration cycles, and the recuperative type cryocooler cycles: Joule–Thomson cycle, Brayton cycle, and Claude cycle, and periodic systems such as the regenerative type cryocooler cycles: Stirling cycle, pulse tube cycle, and Gifford–McMahon cycle. The current state of technology and challenges for further improvements are briefly summarized. Some comparisons and assessments are provided for these methods. It is seen that among other things, the selection of a proper refrigeration method is dependent on the following principal factors: (i) the refrigeration capacity required, (ii) the temperature level, and (iii) the application environment. Even though more than one refrigeration method may be suitable for a given application, the selection is further guided by considerations such as cost, reliability, size/compactness, and unit power. An attempt has been made in this paper to (1) present in-depth relevant details to understand the current state of engineering and technology, (2) provide a handy document for refrigeration designers in the industry, and (3) present the guiding principles in the selection of refrigeration methods.
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