Results 241 to 250 of about 153,461 (281)

Generic van der Waals equation of state and statistical mechanical representations of the van der Waals parameters

Physical Review E, 2001
In this paper, we show that in the case of the potential made up of a repulsive and an attractive part the virial equation of state can be put into a form similar to the van der Waals equation of state and thus the form of the van der Waals equation of state is generic to such a class of potentials.
B C, Eu, K, Rah
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A Modification of Van Der Waals' Equation

Physical Review, 1922
The proposed equation is $(p+\frac{a}{{v}^{2}})(v\ensuremath{-}b)=\frac{\mathrm{RT}}{(1+\frac{{\ensuremath{\psi}}^{2}}{{T}^{2}})}$, where $\ensuremath{\psi}$ is a characteristic temperature. It represents the behavior of C${\mathrm{O}}_{2}$ and other substances more closely and gives better values of the ratio $\frac{{T}_{c}}{{p}_{c}{v}_{c}}$.
W. P. Boynton, Arthur Bramley
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Probabilistic derivation of van der Waals' equation

Foundations of Physics Letters, 1990
A probabilistic derivation of van der Waals' equation is given where the non-ideal contributions to the entropy coincide with the log-likelihood ratios, at their maxima, of the binomial distribution and the upper or lower bounds on the hypergeometric and Polya distributions.
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A modified van der Waals equation of state

Fluid Phase Equilibria, 1983
Abstract A modified van der Waals equation of state is presented. The co-volume in the repulsion term is expressed as a logarithmic function of molar volume. Also, the exponent (typically two) in the attraction term is considered as an adjustable parameter. None of the adjustable parameters are temperature dependent.
D.S. Viswanath, H. Toghiani, T.S. Storvick   +2 more
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Van der Waals equation in a nonextensive scenario

Physics Letters A, 2001
Abstract We discuss a nonextensive generalization of the van der Waals equation, that reduces to the original one in the limit in which the nonextensivity parameter q tends to unity and conventional extensivity is recovered. The whole procedure is carried out in analytic fashion for 1− q small enough.
S. Martínez, F. Pennini, A. Plastino
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Modified van der Waals equation for liquids

Transactions of the Faraday Society, 1966
The van der Waals equation is modified for application to the liquid state by (a) using the conventional Hildebrand term for the internal pressure; (b) introducing an interaction constant B to describe external kinetic degrees of freedom; (c) introducing a quantity β0 for the residual compressibility of the molecules themselves.
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NUMERICAL SOLUTION OF VAN-DER WAALS EQUATION FOR VOLUME

International Journal of Numerical Methods and Applications, 2017
Summary: For van-der Waals equation, the trouble appears when the molar volume is wanted where the equation will be a cubic in \(V\) and a cubic formula is quite messy and takes a large amount of works.{ }Therefore, in this article, we present two standard methods of numerical analysis to solve the molar volume using van-der Waals equation.
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Generalized van der Waals-Berthelot equation of state

Doklady Physics, 2008
This work is devoted to construct an algorithm for the calculation of the Maxwell equilibrium for evaporation curves and other evaporation parameters of a generalized van der Waals model gas and a Berthelot model gas.
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Schrödinger equations with van der Waals type potentials

Journal of Mathematical Analysis and Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Jianfu, Yu, Weilin
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From van der Waals to VTPR: The systematic improvement of the van der Waals equation of state

The Journal of Supercritical Fluids, 2010
Abstract Today the synthesis, design and optimization of the different processes in the oil and gas processing, pharmaceutical, food and environmental industry is carried out by solving the balance equations of a mathematical model of the unit operation or the whole plant with the help of process simulators.
Bastian Schmid, Jürgen Gmehling
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