Thermodynamics of a real fluid near the critical point in numerical simulations of isotropic turbulence

We investigate the behavior of a fluid near the critical point by using numerical simulations of weakly compressible three-dimensional isotropic turbulence. Much has been done for a turbulent flow with an ideal gas. The primary focus of this work is to analyze fluctuations of thermodynamic variables...

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Bibliographic Details
Published in:Physics of fluids (1994) 2016-12, Vol.28 (12)
Main Authors: Albernaz, Daniel L., Do-Quang, Minh, Hermanson, James C., Amberg, Gustav
Format: Article
Language:English
Subjects:
Compressibility
Computational fluid dynamics
Computer simulation
Covariance
Critical point
Energy equation
Equation of state
Equations of state
Fluid dynamics
Fluid flow
Hybrid lattice
Ideal gas
Isotropic turbulence
Kinetic energy
Kinetics
Linearity
Numerical models
Physics
Probability density function
Probability density functions
Real fluids
Reynolds number
Spectral behaviors
Temperature increase
Thermodynamic properties
Thermodynamic variables
Thermodynamics
Turbulence
Turbulent flow
Variation
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Summary:We investigate the behavior of a fluid near the critical point by using numerical simulations of weakly compressible three-dimensional isotropic turbulence. Much has been done for a turbulent flow with an ideal gas. The primary focus of this work is to analyze fluctuations of thermodynamic variables (pressure, density, and temperature) when a non-ideal Equation Of State (EOS) is considered. In order to do so, a hybrid lattice Boltzmann scheme is applied to solve the momentum and energy equations. Previously unreported phenomena are revealed as the temperature approaches the critical point. Fluctuations in pressure, density, and temperature increase, followed by changes in their respective probability density functions. Due to the non-linearity of the EOS, it is seen that variances of density and temperature and their respective covariance are equally important close to the critical point. Unlike the ideal EOS case, significant differences in the thermodynamic properties are also observed when the Reynolds number is increased. We also address issues related to the spectral behavior and scaling of density, pressure, temperature, and kinetic energy.
ISSN:1070-6631
1089-7666
1089-7666
DOI:10.1063/1.4972276