Volume-translated Peng–Robinson equation of state for saturated and single-phase liquid densities

Abudour, Agelia M.; Mohammad, Sayeed A.; Robinson, Robert L.; Gasem, Khaled A. M.

doi:10.1016/j.fluid.2012.08.013

Cited by 81 publications

(29 citation statements)

References 48 publications

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“…Additionally, a generalized volume-translation method proposed by Abudour et al [32] is considered along with the PR-EoS (here denoted as corrected Peng-Robinson PRC-EoS). Non-ideal correction of sensible enthalpy and isobaric heat capacity are expressed in terms of departure functions derived from the particular EoS, whereas quantities for the hypothetical, ideal gas state are calculated using seven-coefficient NASA polynomials [33] (National Aeronautics and Space Administration).…”

Section: Thermodynamic and Transport Modelsmentioning

confidence: 99%

“…Non-ideal correction of sensible enthalpy and isobaric heat capacity are expressed in terms of departure functions derived from the particular EoS, whereas quantities for the hypothetical, ideal gas state are calculated using seven-coefficient NASA polynomials [33] (National Aeronautics and Space Administration). Note, as pointed out by [20] and others, that it is not feasible to include the volume-translation method of [32] in the caloric equation of state. Therefore, no c p values are shown for the PRC-EoS.…”

Section: Thermodynamic and Transport Modelsmentioning

confidence: 99%

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Thermal Transport and Entropy Production Mechanisms in a Turbulent Round Jet at Supercritical Thermodynamic Conditions

Ries

Janicka

Sadiki

2017

Entropy

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Abstract:In the present paper, thermal transport and entropy production mechanisms in a turbulent round jet of compressed nitrogen at supercritical thermodynamic conditions are investigated using a direct numerical simulation. First, thermal transport and its contribution to the mixture formation along with the anisotropy of heat fluxes and temperature scales are examined. Secondly, the entropy production rates during thermofluid processes evolving in the supercritical flow are investigated in order to identify the causes of irreversibilities and to display advantageous locations of handling along with the process regimes favorable to mixing. Thereby, it turned out that (1) the jet disintegration process consists of four main stages under supercritical conditions (potential core, separation, pseudo-boiling, turbulent mixing), (2) causes of irreversibilities are primarily due to heat transport and thermodynamic effects rather than turbulence dynamics and (3) heat fluxes and temperature scales appear anisotropic even at the smallest scales, which implies that anisotropic thermal diffusivity models might be appropriate in the context of both Reynolds-averaged Navier-Stokes (RANS) and large eddy simulation (LES) approaches while numerically modeling supercritical fluid flows.

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Section: Thermodynamic and Transport Modelsmentioning

confidence: 99%

Section: Thermodynamic and Transport Modelsmentioning

confidence: 99%

Thermal Transport and Entropy Production Mechanisms in a Turbulent Round Jet at Supercritical Thermodynamic Conditions

Ries

Janicka

Sadiki

2017

Entropy

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“…P c , T c and ω for each component are given in many references [29]. For hydrocarbon components, the following volume translated terms are applied to correct the molar volume and co-volume parameters [30]:…”

Section: Thermodynamic Modelmentioning

confidence: 99%

“…c 1 and c 2 are component specified constants defined in the references [30]. When the VTPR EOS is applied to mixtures, the classical Van der Waals mixing rule is employed to calculate the parameters a, b, and c for mixtures.…”

Section: Thermodynamic Modelmentioning

confidence: 99%

Dynamic Modeling of the Two-Phase Leakage Process of Natural Gas Liquid Storage Tanks

et al. 2017

Energies

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Abstract:The leakage process simulation of a Natural Gas Liquid (NGL) storage tank requires the simultaneous solution of the NGL's pressure, temperature and phase state in the tank and across the leak hole. The methods available in the literature rarely consider the liquid/vapor phase transition of the NGL during such a process. This paper provides a comprehensive pressure-temperature-phase state method to solve this problem. With this method, the phase state of the NGL is predicted by a thermodynamic model based on the volume translated Peng-Robinson equation of state (VTPR EOS). The tank's pressure and temperature are simulated according to the pressure-volume-temperature and isenthalpic expansion principles of the NGL. The pressure, temperature, leakage mass flow rate across the leak hole are calculated from an improved Homogeneous Non-Equilibrium Diener-Schmidt (HNE-DS) model and the isentropic expansion principle. In particular, the improved HNE-DS model removes the ideal gas assumption used in the original HNE-DS model by using a new compressibility factor developed from the VTPR EOS to replace the original one derived from the Clausius-Clayperon equation. Finally, a robust procedure of simultaneously solving the tank model and the leak hole model is proposed and the method is validated by experimental data. A variety of leakage cases demonstrates that this method is effective in simulating the dynamic leakage process of NGL tanks under critical and subcritical releasing conditions associated with vapor/liquid phase change.

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“…10:29) In the equation proposed by Abudour et al,101 the parameters are defined as:v ¼ v PR þ c À d cSaturated Liquid Density of Pure Liquids and of Mixtures d ¼ According to the method of Baled et al, the average absolute deviation of the saturated liquid density for 15 compounds, including normal, blanched, and cyclic alkanes, is estimated to be within a precision of 0.70 to 2.63% for SRK-, and of 0.6 to 4.36% for PR-based equations in average absolute deviations including the supercritical region. Abudour et al also demonstrated the average absolute deviations for the saturated and supercritical density of 65 compounds with a precision of 0.39 to 2.04%.…”

mentioning

confidence: 99%

Chapter 10. Saturated Liquid Density of Pure Liquids and of Mixtures

Takagi¹,

Tsuji²

2014

Volume Properties

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The vapour-liquid equilibrium of pure liquids and of their mixtures, together with the saturated liquid densities, constitute important thermodynamic properties in the understanding of matter. As a consequence, research into saturated liquid densities of operating fluids is very active and many papers have reported on pure saturated liquid densities and on the densities of mixtures. These experimental results have been fitted by empirical equations like the Tait equation, 1 and various kinds of equations of state. A summary of the research on the equilibrium properties of fluids is described by Poling et al. 2 In our previous studies, the saturated liquid density and related properties were widely investigated for pure liquids and mixtures and the data were utilised for the estimation of other physical properties and process design like heat pumps and refrigerators. [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] In this chapter, we describe the latest experimental research and trends in saturated liquid densities of pure liquids and of liquid mixtures. Furthermore, the equations of state used to estimate saturated liquid density estimations are reviewed.Volume Properties: Liquids, Solutions and Vapours Edited by Emmerich Wilhelm and Trevor M. Letcher

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Volume-translated Peng–Robinson equation of state for saturated and single-phase liquid densities

Cited by 81 publications

References 48 publications

Thermal Transport and Entropy Production Mechanisms in a Turbulent Round Jet at Supercritical Thermodynamic Conditions

Thermal Transport and Entropy Production Mechanisms in a Turbulent Round Jet at Supercritical Thermodynamic Conditions

Dynamic Modeling of the Two-Phase Leakage Process of Natural Gas Liquid Storage Tanks

Chapter 10. Saturated Liquid Density of Pure Liquids and of Mixtures

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