Most chemical process simulators in widespread use today
allow
users to apply some type of efficiency correction to individual equilibrium
stages or to equilibrium stage sections in order to align the stage
or section separation performance more closely to actual tray performance
in the field. Some simulators even allow for the use of component
efficiencies on individual stages or in stage sections. It is our
contention, however, that two of the more commonly available efficiency
models, the vaporization efficiency and Murphree vapor phase efficiency,
have generally been implemented incorrectly. The three major conceptual
inconsistencies are (1) the assumption that the liquid and vapor exit
a stage at the same temperature even in the presence of stage or component
efficiencies, (2) specification of all “C” component
efficiencies when only “C-1” are independent, and (3)
in the case of the vaporization efficiency, the assumption that there
can be equal component efficiencies for all components. All three
assumptions can lead to impossible column composition and temperature
profiles, coupled with violations of some of the most fundamental
thermodynamic principles. To correct these mathematical and thermodynamic
issues, we suggest: (1) the liquid and vapor streams exiting a stage
always be treated as bubble point liquids and dew point vapors, (2)
specification of only “C-1” component efficiencies,
and, perhaps most importantly, (3) an improved understanding of solution
thermodynamics on the part of programmers and a reevaluation of the
quality assurance function at organizations producing chemical process
simulation software.