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Evaluation of Thermodynamic Properties of Helium using Cubic Equation of State based Approach for Energy Industry Applications
Abstract
Equations of state based methods are important techniques for thermodynamic property prediction of
compounds and mixtures. The Peng-Robinson cubic equation of state is one of the most well-known
formulations for gases and gas mixtures used in the process and energy industries. In this study, it is
used to predict pertinent thermodynamic state variables of helium gas for its use in very high
temperature as well as extremely low temperature thermodynamic cycle application for power
generation and cryogenics applications respectively. The departure functions are calculated first.
This accounts for the deviation from ideal gas behaviour likely to be exhibited by helium gas under
these process conditions when calculating its properties like enthalpy and entropy. In-house codes for
these thermodynamic calculations are developed and the results are compared with reported property
values. Good agreement is obtained between the two. Real gas properties should be used to estimate
power consumption and work output in turbo-machinery such as gas compressors and gas turbines,
particularly when high-pressure conditions are involved. This is illustrated through a case study
involving gas compressor selection for high-temperature nuclear reactor cooling. The compression
energy requirement, as well as the inter-cooling requirement, is estimated and parametric studies are
performed.
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