Investigation of Some Regularities for Dense Fluids Using a Simple Equation of State

Najafi, Bijan; Parsafar, Gholamabbas; Alavi, Saman

doi:10.1021/j100022a044

Cited by 36 publications

(29 citation statements)

References 5 publications

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“…If A 2 is assumed to be independent of temperature, then two common intersection points (namely, the common bulk modulus and common compression point) were found to be independent of temperature [36]. However, if A 2 depends on temperature as given by Eq.…”

Section: Discussionmentioning

confidence: 98%

Deriving Analytical Expressions for the Ideal Curves and Using the Curves to Obtain the Temperature Dependence of Equation-of-State Parameters

Parsafar

Izanloo

2006

Int J Thermophys

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Different equations of state (EOSs) have been used to obtain analytical expressions for the ideal curves, namely, the Joule-Thomson inversion curve (JTIC), Boyle curve (BC), and Joule inversion curve (JIC). The selected EOSs are the Redlich-Kwong (RK), Soave-Redlich-Kwong (SRK), Deiters, linear isotherm regularity (LIR), modified LIR (MLIR), dense system equation of state (DSEOS), and van der Waals (vdW). Analytical expressions have been obtained for the JTIC and BC only by using the LIR, MLIR, and vdW equations of state. The expression obtained using the LIR is the simplest. The experimental data for the JTIC and the calculated points from the empirical EOSs for the BC are well fitted into the derived expression from the LIR, in such a way that the fitting on this expression is better than those on the empirical expressions given by Gunn et al. and Miller. No experimental data have been reported for the BC and JIC; therefore, the calculated curves from different EOSs have been compared with those calculated from the empirical equations. On the basis of the JTIC, an approach is given for obtaining the temperature dependence of an EOS parameter(s). Such an approach has been used to determine the temperature dependences of A 2 of the LIR, a and b parameters of the vdW, and the cohesion function of the RK. Such temperature dependences, obtained on the basis of the JTIC, have been found to be appropriate for other ideal curves as well.

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Section: Discussionmentioning

confidence: 98%

Deriving Analytical Expressions for the Ideal Curves and Using the Curves to Obtain the Temperature Dependence of Equation-of-State Parameters

Parsafar

Izanloo

2006

Int J Thermophys

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“…Najafi et al [25] showed that the isotherms of compressibility factor versus density for a dense lowtemperature fluid intersect at a common point. Some of the existing equations of state such as the three-shell modifications of Lennard-Jones-Devonshire [26], linear isotherm regularity [27], the statistical-mechanical equation of state by Ihm et al [24], and the dense system equation of state [2] show this regularity.…”

Section: Common Compression Factor Pointmentioning

confidence: 99%

A general equation of state for dense liquid alkali metals

Eslami¹

2004

Journal of Nuclear Materials

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“…, which implies a law of corresponding states is applicable as far as different fluids can be describe by the same reference system. However, later Huang and O'Connell have been able to construct correlations based on eq (8). [5] (See also reference 24.).…”

Section: The Bulk Modulus Quiescence Pointsmentioning

confidence: 99%

“…The success of the second method leads to the failure of the first one in that the constant b, the van der Waals covolume, is actually a temperature dependent parameter as derived by the statistical mechanical approach. [6,7] Also by the application of the Linear Regularity Isotherm (LIR) [8,9], common intersection points have been observed for dense molecular liquids and their mixtures.…”

Section: Introductionmentioning

confidence: 99%

Common compression factor and bulk modulus quiescence points of liquid cesium

Ghatee¹,

Bahadori²

2003

Fluid Phase Equilibria

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In this paper, a recently developed analytical equation of state (EOS) is used to investigate the bulk modulus of compressed liquid cesium and to locate common compression factor and the bulk modulus quiescence point(s). This EOS is applied quick well to Na and Rb far from T c . Bulk modulus of liquid cesium have two quiescence points, a sharp one in the range K 1500 K 1100 − and a diffused one in the range. Therefore, two types of liquid cesium metal may be identified with characteristic structure and interaction potential energy. It is a constant independent of temperature, however, some residual change is seen due to the change in the values of integral of pair correlation function as temperature is increased. Furthermore, it is related to the shape of the unit cell and the atomic size at equilibrium. Observation of distinct liquid in the metal-nonmetal transition range is compared with NMR studies and molecular dynamic results.

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Investigation of Some Regularities for Dense Fluids Using a Simple Equation of State

Cited by 36 publications

References 5 publications

Deriving Analytical Expressions for the Ideal Curves and Using the Curves to Obtain the Temperature Dependence of Equation-of-State Parameters

Deriving Analytical Expressions for the Ideal Curves and Using the Curves to Obtain the Temperature Dependence of Equation-of-State Parameters

A general equation of state for dense liquid alkali metals

Common compression factor and bulk modulus quiescence points of liquid cesium

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