Predictions of thermodynamic properties of pure fluids, refrigerants, and binary mixtures using modified Peng-Robinson equation of state

Movable and Focus-Tunable Lens Based on Electrically Controllable Liquid: A Lattice Boltzmann Study

“…In van der Waals (VDW) fluids, the free energy generalization containing the gradient squared approximation can be expressed as [ 38 , 47 , 48 , 49 ] where the first term on the right-hand side of the equation is the free energy density at a temperature of T , and the second term is the contribution of the density gradient to the free energy in a non-uniform system, is the surface tension coefficient, and is the density. The calculation of the chemical potential can be based on the density and the free energy density: The free energy function determines the diagonal term of the pressure tensor: where the general expression for the fluid state equation is The well-known Peng–Robinson (PR) EOS is superior in expressing the density of the liquid phase [ 50 ]: and its chemical potential is where R is the gas constant, a is the attraction parameter, b is the volume correction parameter, and the temperature function is . In this paper, the parameters are given by , , and .…”

Binary Solution Behavior for the Trimethoxyphenylsilane and Trimethylphenylsilane Under CO2 as Supercritical Fluid

“…The relevance of the present study can be summarized as follows: (1) Advancement of supercritical fluid technology: This research contributes to our understanding of the phase behavior of binary mixtures involving supercritical CO 2 and organosilicon compounds. Such knowledge is vital for the development of supercritical fluid technologies used in various applications, including pharmaceuticals, green chemistry − and materials processing etc. − (2) Industrial processes : Improved knowledge of how these binary mixtures interact with supercritical CO 2 can lead to more efficient design and optimization industrial processes. (3) Scientific advancement : The study enhances our understanding of the phase equilibria and thermodynamics in high-pressure systems.…”

“…Several thermodynamic models have been developed for the purpose of predicting these phase equilibrium properties and phase stability. 3,45 Some prominent examples of these models are cubic equations of state (CEOSs). According to Ghoderao et al 46 , the three-parameter Patel−Teja (PT) CEOS is a wellexplored and widely used CEOS.…”

“…The scientific community has shown significant interest in the advancement of mathematical models aimed at accurately predicting phase equilibrium properties and phase stability. − These models play a crucial role in understanding how different phases of a substance coexist under varying conditions of temperature, pressure, and composition. Several thermodynamic models have been developed for the purpose of predicting these phase equilibrium properties and phase stability. , Some prominent examples of these models are cubic equations of state (CEOSs). According to Ghoderao et al, the three-parameter Patel–Teja (PT) CEOS is a well-explored and widely used CEOS.…”