Prediction of the Temperature and Density Dependencies of the Parameters of the Average Effective Pair Potential Using Only the LIR Equation of State

Parsafar, Gholamabbas; Kermanpour, F.; Najafi, Bijan

doi:10.1021/jp983292n

Cited by 36 publications

(13 citation statements)

References 15 publications

(33 reference statements)

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“…where A 1 and B 1 are constants which depend on the attractive and repulsive terms of the average effective pair potential [27,28], respectively, A 2 is related to the non-ideal thermal pressure, and R is the gas constant. The combination of the LIR with Z = 1 does not lead to a linear relation between ρ and T .…”

Section: Deriving An Analytical Expression For the Jtic Via Differentmentioning

confidence: 99%

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: Deriving An Analytical Expression For the Jtic Via Differentmentioning

confidence: 99%

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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“…The variations of ε and r m with temperature for liquid metals and normal fluids have been already investigated [32][33][34][35][36][37]. The values of r m calculated from Eq.…”

Section: Theoretical Basis Of the New Eosmentioning

confidence: 99%

A new equation of state for molten alkali metal alloys

Moosavi

Sabzevari

2012

Journal of Molecular Liquids

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“…where A and B are constants, which are related to the attraction and repulsion terms of the average effective pair potential [20,21] and A is related to the non-ideal thermal pressure. Combination of Eq.…”

Section: Deriving the Temperature Dependence Of The A Parameter Of Thmentioning

confidence: 99%

“…Since A is related to the thermal pressure coefficient (∂P /∂T ) ρ [20] which is obviously temperature dependent, one may expect that it is temperature dependent as well. We may derive the temperature dependence of the A parameter by solving Eq.…”

Section: Deriving the Temperature Dependence Of The A Parameter Of Thmentioning

confidence: 99%

“…The values of A and B may be obtained from the intercept and slope of the line at the temperature for which the isotherm is plotted. The temperature range was divided into 20 K intervals, for which A has been shown to be constant [20]. Then, A is plotted versus 1/T for each interval to obtain A for its intermediate temperature.…”

Section: Deriving the Temperature Dependence Of The A Parameter Of Thmentioning

confidence: 99%

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Analysis of Different EOSs in Predicting the Ideal Curve and Deriving the Temperature Dependencies of Their Parameters

Parsafar

Saydi

2004

International Journal of Thermophysics

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The regularity shown by different fluids along the contour of the ideal compressibility factor Z = P V /(RT ) = 1 in the temperature-density plane is used to test the accuracy of different equations of state and derive temperature dependencies of their parameters. For a wide range of pure fluids, this contour, known as the Zeno line, has been empirically observed to be nearly linear. The precision of the van der Waals (vdW) equation in predicting the Zeno line has been evaluated and shown that this equation predicts a linear relation between temperature and density on the Z = 1 contour, qualitatively. However, the line shows significant deviations from the experimental Zeno line. Experimental PVT data for CO 2 is used to obtain the temperature dependencies of the vdW parameters. The vdW equation with such temperature dependencies does not show a straight line for the Z = 1 contour. This means that the equation is not able to predict the Zeno line, both qualitatively and quantitatively. Also, the accuracy of the modified vdW equations in predicting the Zeno line has been investigated. It is shown that none of these equations can predict the Zeno line qualitatively. However, the predicted line on the Z = 1 contour given by some of these equations is near the experimental Zeno line. Assuming that the Zeno line must hold, the temperature dependence of the non-ideal thermal pressure, A , of the linear isotherm regularity as A = a + bT + c/T has been derived. Such a temperature dependence was confirmed by experimental data. The derived expression for A was used to obtain the temperature dependence of the thermal pressure coefficient, which is in accordance with experimental data. Also, the temperature dependencies of the parameters of the dense system equation of state

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Prediction of the Temperature and Density Dependencies of the Parameters of the Average Effective Pair Potential Using Only the LIR Equation of State

Cited by 36 publications

References 15 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 new equation of state for molten alkali metal alloys

Analysis of Different EOSs in Predicting the Ideal Curve and Deriving the Temperature Dependencies of Their Parameters

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