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Supercritical \(\textrm{CO}_{2}\) -based power cycles require consideration of non-ideal thermodynamics and compressible turbulence. In present work, we study a decay of homogeneous isotropic turbulence with eddy shocklets using Direct Numerical Simulation. We consider both ideal gas and use Span and Wagner equation of state to model supercritical \(\textrm{CO}_{2}\) . The results are explicitly filtered, allowing for evaluation of a previously untested, yet universally accepted assumption, that the computable temperature and pressure (outputs of the equation of state using the available filtered quantities) are good approximations for the true filtered temperature and pressure. For the investigated thermodynamic state, the approximation does not result in a great error, however it does influence both the mean and the shape of PDF of both variables.

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Evaluating Differences Between the Computable and Filtered State Variables in Supercritical Carbon Dioxide

  • 会议论文

  • 发表日期：

    2025年

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  • Benedikt Lea,
  • Wojciech Sadowski,
  • Francesca di Mare

摘要

Supercritical \(\textrm{CO}_{2}\) -based power cycles require consideration of non-ideal thermodynamics and compressible turbulence. In present work, we study a decay of homogeneous isotropic turbulence with eddy shocklets using Direct Numerical Simulation. We consider both ideal gas and use Span and Wagner equation of state to model supercritical \(\textrm{CO}_{2}\) . The results are explicitly filtered, allowing for evaluation of a previously untested, yet universally accepted assumption, that the computable temperature and pressure (outputs of the equation of state using the available filtered quantities) are good approximations for the true filtered temperature and pressure. For the investigated thermodynamic state, the approximation does not result in a great error, however it does influence both the mean and the shape of PDF of both variables.