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Journal articles on the topic 'Equation of state parameters'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Koroleva, M. R., O. V. Mishchenkova, V. A. Tenenev, and T. Raeder. "Nonlinear Processes in Safety Systems for Substances with Parameters Close to a Critical State." Nelineinaya Dinamika 17, no. 1 (2021): 119–38. http://dx.doi.org/10.20537/nd210109.

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The paper presents a modification of the digital method by S. K. Godunov for calculating real gas flows under conditions close to a critical state. The method is generalized to the case of the Van der Waals equation of state using the local approximation algorithm. Test calculations of flows in a shock tube have shown the validity of this approach for the mathematical description of gas-dynamic processes in real gases with shock waves and contact discontinuity both in areas with classical and nonclassical behavior patterns. The modified digital scheme by Godunov with local approximation of the Van der Waals equation by a two-term equation of state was used for simulating a spatial flow of real gas based on Navier – Stokes equations in the area of a complex shape, which is characteristic of the internal space of a safety valve. We have demonstrated that, under near-critical conditions, areas of nonclassical gas behavior may appear, which affects the nature of flows. We have studied nonlinear processes in a safety valve arising from the movement of the shut-off element, which are also determined by the device design features and the gas flow conditions.

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2

Castier, M., R. F. Checoni, and A. Zuber. "Fitting equation of state parameters in parallel computers." Brazilian Journal of Chemical Engineering 31, no. 4 (December 2014): 993–1002. http://dx.doi.org/10.1590/0104-6632.20140314s00002632.

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3

Cho, Bongkee. "Equation‐of‐state parameters for poly(vinyl acetate)." Journal of Applied Physics 61, no. 10 (May 15, 1987): 4800–4803. http://dx.doi.org/10.1063/1.338341.

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4

Chen, Hua, Wen-Hui Tang, Jin-Hu She, Xian-Wen Ran, and Zhi-Hong Xu. "The PUFF equation of state parameters for synthetic rubber." Mechanics of Materials 43, no. 2 (February 2011): 69–74. http://dx.doi.org/10.1016/j.mechmat.2010.12.001.

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5

Verma, Ajay, and M. P. Verma. "Thermodynamic Parameters of the Equation of State of Solids." physica status solidi (b) 210, no. 1 (November 1998): 61–73. http://dx.doi.org/10.1002/(sici)1521-3951(199811)210:1<61::aid-pssb61>3.0.co;2-r.

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6

Panayiotou, Costas, and Dimitra Aslanidou. "Partial solvation parameters and the equation-of-state approach." Fluid Phase Equilibria 406 (November 2015): 101–15. http://dx.doi.org/10.1016/j.fluid.2015.08.004.

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7

Pedersen, Karen Schou, Per Thomassen, and Aage Fredenslund. "On the dangers of “tuning” equation of state parameters." Chemical Engineering Science 43, no. 2 (1988): 269–78. http://dx.doi.org/10.1016/0009-2509(88)85039-5.

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8

Santra, A. B., and U. Lombardo. "Nuclear matter equation of state and σ-meson parameters." Pramana 64, no. 1 (January 2005): 31–37. http://dx.doi.org/10.1007/bf02704527.

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9

Stefanis, Emmanuel, Ioannis Tsivintzelis, and Costas Panayiotou. "The partial solubility parameters: An equation-of-state approach." Fluid Phase Equilibria 240, no. 2 (February 2006): 144–54. http://dx.doi.org/10.1016/j.fluid.2005.12.020.

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10

Morawski, F., and M. Bejger. "Neural network reconstruction of the dense matter equation of state derived from the parameters of neutron stars." Astronomy & Astrophysics 642 (October 2020): A78. http://dx.doi.org/10.1051/0004-6361/202038130.

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Context. Neutron stars are currently studied with an rising number of electromagnetic and gravitational-wave observations, which will ultimately allow us to constrain the dense matter equation of state and understand the physical processes at work within these compact objects. Neutron star global parameters, such as the mass and radius, can be used to obtain the equation of state by directly inverting the Tolman-Oppenheimer-Volkoff equations. Here, we investigate an alternative approach to this procedure. Aims. The aim of this work is to study the application of the artificial neural networks guided by the autoencoder architecture as a method for precisely reconstructing the neutron star equation of state, using their observable parameters: masses, radii, and tidal deformabilities. In addition, we study how well the neutron star radius can be reconstructed using only the gravitational-wave observations of tidal deformability, that is, using quantities that are not related in any straightforward way. Methods. The application of an artificial neural network in the equation-of-state reconstruction exploits the non-linear potential of this machine learning model. Since each neuron in the network is basically a non-linear function, it is possible to create a complex mapping between the input sets of observations and the output equation-of-state table. Within the supervised training paradigm, we construct a few hidden-layer deep neural networks on a generated data set, consisting of a realistic equation of state for the neutron star crust connected with a piecewise relativistic polytropes dense core, with its parameters representative of state-of-the art realistic equations of state. Results. We demonstrate the performance of our machine-learning implementation with respect to the simulated cases with a varying number of observations and measurement uncertainties. Furthermore, we study the impact of the neutron star mass distributions on the results. Finally, we test the reconstruction of the equation of state trained on parametric polytropic training set using the simulated mass–radius and mass–tidal-deformability sequences based on realistic equations of state. Neural networks trained with a limited data set are capable of generalising the mapping between global parameters and equation-of-state input tables for realistic models.

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11

Das, Biswajit, and Biswajit Pandey. "Can we constrain the dark energy equation of state parameters using configuration entropy?" Monthly Notices of the Royal Astronomical Society 492, no. 3 (December 23, 2019): 3928–39. http://dx.doi.org/10.1093/mnras/stz3538.

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ABSTRACT We propose a new scheme for constraining the dark energy equation of state parameter/parameters based on the study of the evolution of the configuration entropy. We analyse a set of one-parameter and two-parameter dynamical dark energy models and find that the derivative of the configuration entropy in all the dynamical dark energy models exhibits a minimum. The magnitude of the minimum of the entropy rate is decided by both the parametrization of the equation of state and the associated parameters. The location of the minimum of the entropy rate is less sensitive to the form of the parametrization but depends on the associated parameters. We determine the best-fitting equations for the location and magnitude of the minimum of the entropy rate in terms of the parameter/parameters of the dark energy equation of state. These relations would allow us to constrain the dark energy equation of state parameter/parameters for any given parametrization provided the evolution of the configuration entropy in the Universe is known from observations.

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12

Sokolov, Mikhail, Nikolay Sadovsky, Anatoly Zuev, Lyubov Gileva, and Minh Hai Nguyen. "Real gas state equations comparative analysis for low-temperature calculations." E3S Web of Conferences 140 (2019): 05007. http://dx.doi.org/10.1051/e3sconf/201914005007.

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In this paper, various real gas state equations are considered and their comparative analysis is carried out. The following state equations are studied in the work: Benedict-Webb-Rubin modification equation, Ridlich-Kwong Real Gas equation, Peng-Robinson Real Gas equation, and the modified Ridlich-Kwong real gas state equations proposed by Barsuk S.D. We have made a direct comparison of these calculation methods with most accurate identification. In addition, the paper analyzes the equations features, with applicability limits definition of each state equations. For the chosen one, as the most universal and exact equation, the calculations were made for the liquid phase and the real gas two-phase state. Based on the data obtained, polynomials were developed for various parameters depending on the gas temperature, which can later be used to build various mathematical models. Our conclusions show main advantages of selected equation for real gases and the reasons for choosing it for modeling low-temperature heat and mass transfer processes.

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13

Shi, Wei, and Li Li Ma. "Concise BEM for State Heat Conduction of FGMs." Advanced Materials Research 308-310 (August 2011): 473–76. http://dx.doi.org/10.4028/www.scientific.net/amr.308-310.473.

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The thermal conductivity problem of functionally graded plate is studied under different temperature fields by a new concise BEM in this paper. At first, we convert the heat conduction differential equation of functionally graded materials (FGMs) to a homogeneous material thermal conductivity equation by using variable substitution, then the Galerkin boundary integral equation is reduced to be a system of linear equations. Finally we arrive at an internal temperature of objects, and plot the distribution graphics and effects of material parameters on temperature distribution. It proves that the new concise BEM is very effective.

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14

Guan, Zhi Ping, Xiao Fang Guan, and Yu Quan Song. "Theoretical Deduction of Constitutive Equations with Variational Parameters during Superplastic Tension." Advanced Materials Research 941-944 (June 2014): 1509–12. http://dx.doi.org/10.4028/www.scientific.net/amr.941-944.1509.

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In this article, firstly, the strain hardening index and the strain rate sensitivity index were deducted from the general state equation and the mechanical meaning of the two indexes were correspondingly depicted, and then constitutive equations, where both/either of the two indexes appear as constants, were theoretically deducted from the same state equation. Secondly, constitutive equations where both/either of the two indexes present as variables were put forward by numerical simulation. Next, constitutive equations were built, where mechanical variables are replaced by test data obtained on an electronic universal tensile tester with the capacity to carry out a true constant strain rate path. Finally, based on the test data of Zn-5%Al during superplastic tension, it is proved that the theoretical results in this article are valid.

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15

Kumar, Ashutosh, and Rajeev Upadhyay. "A new two-parameters cubic equation of state with benefits of three-parameters." Chemical Engineering Science 229 (January 2021): 116045. http://dx.doi.org/10.1016/j.ces.2020.116045.

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16

Yan, Li, Chen Yang, and Chuan Bing Ding. "An Optimal Estimation of Aerodynamic Parameters for GPS Guided Missile." Applied Mechanics and Materials 325-326 (June 2013): 734–37. http://dx.doi.org/10.4028/www.scientific.net/amm.325-326.734.

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The disturbance factors in the missile flight are obvious,so the analytical equations of missile longitudinal disturbance of movement is derived . The missile body longitudinal aerodynamic parameters are fitting out with wind tunnel experimental data. The equation of system state takes the aerodynamic coefficient errors interference source and GPS error sources as the state variables, and the system measurement equation adopts GPS pseudo-range measurements. In passive segment, the aerodynamic coefficients disturbing errors sources of th missile longitudinal plane is estimated optimally with extended Kalman filter. The results show that the method accelerate the convergence speed of the disturbance source errors, and improve the estimation accuracy of the perturbation errors.

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17

Zawadzki, Andrzej. "Application of local coordinates rectification in linearization of selected parameters of dynamic nonlinear systems." COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 33, no. 5 (August 26, 2014): 1819–30. http://dx.doi.org/10.1108/compel-11-2013-0358.

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Purpose – The purpose of this paper is to aim to an application of element of the theory of differential geometry for building the state space transformation, linearizing nonlinear dynamic system into a linear form. Design/methodology/approach – It is assumed that the description of nonlinear electric circuits with concentrated parameters or electromechanical systems is given by nonlinear system of differential equations of first order (state equations). The goal is to find transformation which leads nonlinear state equation (written in one coordinate system) to the linear in the other – sought coordinate system. Findings – The necessary conditions fulfilled by nonlinear system undergoing linearization process are presented. Numerical solutions of the nonlinear equations of state together with linearized system obtained from direct transformation of the state space are included (transformation input – the state of the nonlinear system). Originality/value – Application of first order exact differential forms for determining the transformation linearizing the nonlinear state equation. Simple linear models obtained with the use of the linearizing transformation are very useful (mainly because of the known and well-mastered theory of linear systems) in solving of various practical technical problems.

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18

Xu, Zhong, and Stanley I. Sandler. "Temperature-dependent parameters and the Peng-Robinson equation of state." Industrial & Engineering Chemistry Research 26, no. 3 (March 1987): 601–6. http://dx.doi.org/10.1021/ie00063a030.

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19

Morita, K., V. Sobolev, and M. Flad. "Critical parameters and equation of state for heavy liquid metals." Journal of Nuclear Materials 362, no. 2-3 (May 2007): 227–34. http://dx.doi.org/10.1016/j.jnucmat.2007.01.048.

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20

Cach, R., and Z. Czapla. "Dielectric state equation parameters of monoclinic telluric acid ammonium phosphate." physica status solidi (a) 121, no. 1 (September 16, 1990): 299–304. http://dx.doi.org/10.1002/pssa.2211210136.

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21

Kuntman, Ayten, Nurseli Uyanik, and Bahattin M. Baysal. "A novel method to estimate various equation-of-state parameters." Polymer 35, no. 15 (July 1994): 3356–58. http://dx.doi.org/10.1016/0032-3861(94)90150-3.

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22

Aljundi, Isam H. "A New Method to Calculate the Pure Component Parameters of Any Two-Parameter Equation of State." Journal of Thermodynamics 2011 (October 12, 2011): 1–6. http://dx.doi.org/10.1155/2011/696548.

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Reliable equations of state are very important in the design of refrigeration cycles, since thermodynamic properties can be calculated by simple differentiation. In this paper, a new method to calculate the parameters of any two-parameter equation of state is presented. The method is based on the use of Clapeyron equation and the experimental PVT data. This method was tested on a newly developed cubic equation of state and proved to be simple and fast. Results showed orders of magnitude enhancement in prediction of the saturated vapor pressure even near the critical region. The Percent Absolute Average Deviation (%AAD) was always less than 0.1 in the studied cases. It also showed that the parameters calculated using the original equation deviate strongly from the “experimental” values as the temperature decreases below the critical point. This method can be used to redefine the temperature dependences of these parameters and develop new mixing rules for the mixtures.

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23

Ding, Ruifeng, and Linfan Zhuang. "Parameter and State Estimator for State Space Models." Scientific World Journal 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/106505.

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This paper proposes a parameter and state estimator for canonical state space systems from measured input-output data. The key is to solve the system state from the state equation and to substitute it into the output equation, eliminating the state variables, and the resulting equation contains only the system inputs and outputs, and to derive a least squares parameter identification algorithm. Furthermore, the system states are computed from the estimated parameters and the input-output data. Convergence analysis using the martingale convergence theorem indicates that the parameter estimates converge to their true values. Finally, an illustrative example is provided to show that the proposed algorithm is effective.

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24

Xavier, Alexandre C., Roberto A. Cecílio, Fernando F. Pruski, and Julião S. de S. Lima. "Methodology for spatialization of intense rainfall equation parameters." Engenharia Agrícola 34, no. 3 (June 2014): 485–95. http://dx.doi.org/10.1590/s0100-69162014000300012.

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The aim of this study was to generate maps of intense rainfall equation parameters using interpolated maximum intense rainfall data. The study area comprised Espírito Santo State, Brazil. A total of 59 intense rainfall equations were used to interpolate maximum intense rainfall, with a 1 x 1 km spatial resolution. Maximum intense rainfall was interpolated considering recurrence of 2; 5; 10; 20; 50 and 100 years, and duration of 10; 20; 30; 40; 50; 60; 120; 240; 360; 420; 660; 720; 900; 1,140; 1,380 and 1,440 minutes, resulting in 96 maps of maximum intense rainfall. The used interpolators were inverse distance weighting and ordinary kriging, for which significance level (p-value) and coefficient of determination (R²) were evaluated for the cross-validation data, choosing the method that presented better R² to generate maps. Finally, maps of maximum intense precipitation were used to estimate, cell by cell, the intense rainfall equation parameters. In comparison with literature data, the mean percentage error of estimated intense rainfall equations was 13.8%. Maps of spatialized parameters, obtained in this study, are of simple use; once they are georeferenced, they may be imported into any geographic information system to be used for a specific area of interest.

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25

Zhao, Mo Li, and Qiang Yong Zhang. "Application of State Equation Method for Coupled Hydro-Mechanical Analysis in Dual-Porosity Media." Advanced Materials Research 575 (October 2012): 59–63. http://dx.doi.org/10.4028/www.scientific.net/amr.575.59.

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Seepage is one of the major influence factors for engineering stability. In this study, the equations of hydro-mechanical coupling in dual-porosity media including the governing equations of deformation and seepage are employed. The fluid gravity in whole system is considered in the seepage governing equation. The solid displacement, pore fluid pressure and fissure fluid pressure are the unknown qualities. The finite element formulation of the governing equations are acquired after using the Galerkin discretization technique. The physical parameters are discussed here. Finally, the state equation method is applied to solve the finite element equations.

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26

PICANÇO, RODRIGO, MANOEL MALHEIRO, and SUBHARTHI RAY. "CHARGED POLYTROPIC STARS AND A GENERALIZATION OF LANE–EMDEN EQUATION." International Journal of Modern Physics D 13, no. 07 (August 2004): 1441–45. http://dx.doi.org/10.1142/s0218271804005663.

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In this paper we discuss charged stars with polytropic equation of state, where we derive an equation analogous to the Lane–Endem equation. We assume that these stars are spherically symmetric, and the electric field have only the radial component. First we review the field equations for such stars and then we proceed with the analog of the Lane–Emden equation for a polytropic Newtonian fluid and their relativistic equivalent (Tooper, 1964).1 These kind of equations are very interesting because they transform all the structure equations of the stars in a group of differential equations which are much more simple to solve than the source equations. These equations can be solved numerically for some boundary conditions and for some initial parameters. For this we assume that the pressure caused by the electric field obeys a polytropic equation of state too.

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27

Khalkhali Z., M. M., H. Modarress, and M. Mohsen-Nia. "CORRECTION ON PARAMETERS OF MMM EQUATION OF STATE FOR TEMPERATURE DEPENDENCE." Chemical Engineering Communications 192, no. 6 (June 2005): 725–48. http://dx.doi.org/10.1080/00986440590495016.

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28

Panayiotou, Costas, Ioannis Zuburtikudis, and Vassily Hatzimanikatis. "110th Anniversary: From Solubility Parameters to Predictive Equation-of-State Modeling." Industrial & Engineering Chemistry Research 58, no. 28 (June 21, 2019): 12787–800. http://dx.doi.org/10.1021/acs.iecr.9b02908.

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29

van Westen, Thijs, Thijs J. H. Vlugt, and Joachim Gross. "Determining Force Field Parameters Using a Physically Based Equation of State." Journal of Physical Chemistry B 115, no. 24 (June 23, 2011): 7872–80. http://dx.doi.org/10.1021/jp2026219.

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30

Fermeglia, Maurizio, and Sabrina Pricl. "Equation-of-state parameters for pure polymers by molecular dynamics simulations." AIChE Journal 45, no. 12 (December 1999): 2619–27. http://dx.doi.org/10.1002/aic.690451218.

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31

Abudour, Agelia M., Sayeed A. Mohammad, Robert L. Robinson Jr., and Khaled A. M. Gasem. "Generalized binary interaction parameters for the Peng–Robinson equation of state." Fluid Phase Equilibria 383 (December 2014): 156–73. http://dx.doi.org/10.1016/j.fluid.2014.10.006.

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32

Ramdin, Mahinder, Tim M. Becker, Seyed Hossein Jamali, Meng Wang, and Thijs J. H. Vlugt. "Computing equation of state parameters of gases from Monte Carlo simulations." Fluid Phase Equilibria 428 (November 2016): 174–81. http://dx.doi.org/10.1016/j.fluid.2016.06.012.

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33

Brunacci, A., E. Pedemonte, and A. Turturro. "Determination of the equation-of-state parameters of poly(methyl acrylate)." Polymer 33, no. 20 (January 1992): 4428–31. http://dx.doi.org/10.1016/0032-3861(92)90292-5.

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34

Kaushal, Shaurya, Santosh Ansumali, Bruce Boghosian, and Merek Johnson. "The lattice Fokker–Planck equation for models of wealth distribution." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2175 (June 22, 2020): 20190401. http://dx.doi.org/10.1098/rsta.2019.0401.

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Recent work on agent-based models of wealth distribution has yielded nonlinear, non-local Fokker–Planck equations whose steady-state solutions describe empirical wealth distributions with remarkable accuracy using only a few free parameters. Because these equations are often used to solve the ‘inverse problem’ of determining the free parameters given empirical wealth data, there is much impetus to find fast and accurate methods of solving the ‘forward problem’ of finding the steady state corresponding to given parameters. In this work, we derive and calibrate a lattice Boltzmann equation for this purpose. This article is part of the theme issue ‘Fluid dynamics, soft matter and complex systems: recent results and new methods’.

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35

Oldfield, C. "Evaluation of steady-state kinetic parameters for enzymes solubilized in water-in-oil microemulsion systems." Biochemical Journal 272, no. 1 (November 15, 1990): 15–22. http://dx.doi.org/10.1042/bj2720015.

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1. Equations are derived for the steady-state kinetics of substrate conversion by enzymes confined within the water-droplets of water-in-oil microemulsion systems. 2. Water-soluble substrates initially confined within droplets that do not contain enzyme are assumed to be converted into product only after they enter enzyme-containing droplets via the inter-droplet exchange process. 3. Hyperbolic (Michaelis-Menten) kinetics are predicted when the substrate concentration is varied in microemulsions of fixed composition. Both kcat. and Km are predicted to be dependent on the size and concentration of the water-droplets in the microemulsion. 4. The predicted behaviour is shown to be supported by published experimental data. A physical interpretation of the form of the rate equation is presented. 5. The rate equation for an oil-soluble substrate was derived assuming a pseudo-two-phase (oil & water) model for the microemulsion. Both kcat. and Km are shown to be independent of phi aq. Km is larger than the aqueous solution value by a factor approximately equal to the oil/water partition coefficient of the substrate. The validity of the rate equation is confirmed by published data.

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36

Zhao, Yan Hong, Hai Feng Liu, and Wei Wei Pang. "Equation of State of Detonation Products Based on Chemical Equilibrium." Advanced Materials Research 790 (September 2013): 61–64. http://dx.doi.org/10.4028/www.scientific.net/amr.790.61.

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An equation of state (EOS) model of detonation products based on chemical equilibrium is developed. The EOS of gaseous detonation products is described by Rosss modification of hard-sphere variation theory and the improved one-fluid van der Waals mixture model. The condensed phases of carbon are taken as a mixture of graphite, diamond, graphite-like liquid and diamond-like liquid. For a mixed system of detonation products, the free energy minimization principle is used to determine the equilibrium compositions of detonation products by solving chemical equilibrium equations. The potential function parameters have been renewed and the non-ideal fixing effects of the major detonation products have been taken into account. The calculated detonation parameters in our work for a variety of explosives are well in agreement with the experimental data.

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37

Campos, Alcinei Ribeiro, João Batista Lopes da Silva, Glenio Guimarães Santos, Rafael Felippe Ratke, and Itauane Oliveira de Aquino. "Estimate of intense rainfall equation parameters for rainfall stations of the Paraíba State, Brazil." Pesquisa Agropecuária Tropical 47, no. 1 (March 2017): 15–21. http://dx.doi.org/10.1590/1983-40632016v4743821.

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ABSTRACT Rainfall is the primary water source for hydrographic basins. Hence, the quantification and knowledge of its temporal and spatial distribution are indispensable in dimensioning hydraulic projects. This study aimed at assessing the fit of a series of rainfall data to different probability models, as well as estimating parameters of the intensity-duration-frequency (IDF) equation for rain stations of the Paraíba State, Brazil. The rainfall data of each station were obtained from the Brazilian Water Agency databanks. To estimate the maximum daily rainfall of each station and return period (5, 10, 15, 25, 50 and 100 years), the following probability distributions were used: Gumbel, Log-Normal II, Log-Normal III, Pearson III and Log-Pearson III. The estimation of rainfall in durations of 5-1,440 min was carried out by daily rainfall disaggregation. The adjustment of the IDF equation was performed via nonlinear multiple regression, using the nonlinear generalized reduced gradient interaction method. When compared to the data observed, the intense rainfall equations for most stations showed goodness of fit with coefficients of determination above 0.99, which supports the methodology applied in this study.

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38

Jain, Shilpa, Rashmi Sharma, and Arun K. Sharma. "Solid State Kinetics, Spectroscopic, Thermal Degradation and Fungicidal Studies of Biodegradable Copper Surfactants Derived from Lauric Acid." Anti-Infective Agents 18, no. 1 (February 4, 2020): 59–71. http://dx.doi.org/10.2174/2211352517666190514074750.

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Introduction: The synthesis of copper soap (laurate), and its complex with 2-amino 6- methylbenzothiazole and their elemental and spectral analysis have been done for comparative studies using IR, NMR, Mass and ESR spectra. Methods: The fungicidal activities, with reference to Alternaria alternata and Aspergillus niger at different concentrations by P.D.A. technique were also studied. Results and Conclusion: The present research work comprises detailed thermal analysis using TGA technique to determine their kinetic and thermodynamic parameters by applying various equations like Freeman Carroll, Coats-Redfern equation, Horowitz-Metzger equation, Broido equation, Piloyan–Novikova equation.

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39

Escamilla-Rivera, Celia, and Salvatore Capozziello. "Unveiling cosmography from the dark energy equation of state." International Journal of Modern Physics D 28, no. 12 (September 2019): 1950154. http://dx.doi.org/10.1142/s0218271819501542.

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Constraining the dark energy equation of state, [Formula: see text], is one of the main issues of current and future cosmological surveys. In practice, this requires making assumptions about the evolution of [Formula: see text] with redshift [Formula: see text], which can be manifested in a choice of a specific parametric form where the number of cosmological parameters play an important role in the observed cosmic acceleration. Since any attempt to constrain the EoS requires some prior fixing in one form or the other, settling a method to constrain cosmological parameters is of great importance. In this paper, we provide a straightforward approach to show how cosmological tests can be improved via a parametric methodology based on cosmography. Using Supernovae Type IA samplers, we show how by performing a statistical analysis of a specific dark energy parametrization can give directly the cosmographic parameters values.

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40

Feyzulaev, H. A., and S. V. Agalarova. "Forecasting of the technological parameters of the oil displacement with the various mineral content water in the clay storage collector." SOCAR Proceedings, no. 3 (September 30, 2020): 135–41. http://dx.doi.org/10.5510/ogp20200300454.

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A multicomponent hydrodynamic model of the process of oil displacement with water with different mineralogical composition in clay-containing collectors is proposed on the basis of combination of equations of continuity, filtration law and equation of state, equation of salt concentration in water and equation of saturation between phases which enables prediction of process parameters of oil displacement with fresh and formation waters with and without consideration of clay swelling.

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41

Feldgun, Vladimir R., and David Z. Yankelevsky. "Retrieving the constitutive properties of a concrete target from a single instrumented penetration test." International Journal of Protective Structures 10, no. 4 (March 19, 2019): 486–509. http://dx.doi.org/10.1177/2041419619830707.

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Penetration into concrete is an important problem that attracted many researches who developed analytical models and numerical solutions. Most of the advanced methods account for the material properties through their constitutive equations, combined from the failure envelope and the equation of state. These properties are rarely available in many cases, and in different experimental reports it is missing. For lack of any other option, analysts borrow available equations that were developed for other concrete types, with the doubt of their suitability. In a limited number of tests, instrumented projectiles are used and the deceleration time history is recorded. Rarely, the constitutive properties are also provided and analysis can be conducted. Otherwise, analysis cannot be carried out and prediction and validation of the recorded deceleration curve cannot be conducted. The present article refers to such instrumented tests where the constitutive properties are not available. It aims at unveiling the relationship between the deceleration curve and the constitutive properties and at solving, for the first time, the inverse problem of a penetration problem in order to retrieve major constitutive equation parameters from the acceleration time-history record. The major new feature of the present article is identification of the failure envelope parameters in the Mohr–Coulomb form as well as the parameters of the Shock Hugoniot equation of state for which procedures have been developed. The present approach allows to retrieve required information regarding the equation of state and failure envelope from a single instrumented experiment that provides the projectile deceleration time-history record. It is shown that the retrieved parameters of the failure envelope and the equation of state are in good agreement with reported constitutive parameters that are based on experimental data. The retrieved data allow to carry out penetration time-history predictions of different projectiles at different impact velocities on the same concrete.

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42

Xiao, Jinsheng, Shuo Ma, Xu Wang, Shanshan Deng, Tianqi Yang, and Pierre Bénard. "Effect of Hydrogen Refueling Parameters on Final State of Charge." Energies 12, no. 4 (February 17, 2019): 645. http://dx.doi.org/10.3390/en12040645.

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The state of charge (SOC) is a key indicator to show whether a compressed hydrogen tank meets refueling requirements, so it is worth to study effects of the refueling parameters on it. A new SOC analytical solution is obtained based on a simple thermodynamic model. By applying a mass balance equation and an energy balance equation for a hydrogen storage system, a differential equation was obtained. An analytical solution of hydrogen temperature was deduced from the solution of the differential equation, then an analytical solution of hydrogen mass was further deduced based on the analytical solution of hydrogen temperature with some mathematical modifications. By assuming the hydrogen density inside the tank is uniform, the SOC, which defined as a ratio of hydrogen density to the full-fill density, can be transformed to be the ratio of hydrogen mass to the full-fill mass. The hydrogen mass can be calculated from analytical solution of hydrogen mass, while the full-fill mass is supposed to be a constant value. The full-fill density of 35 MPa and 70 MPa tanks at 15 °C are respectively 24.0 g/L and 40.2 g/L, and if the volume of the tank is known, the full-fill mass can also be calculated. The analytical solution of SOC can be unitized to express the reference data, the contributions of inflow temperature and mass flow rate on SOC are presented for a Dynetek type III tank (40 L, metallic liner) and a Hexagon type IV tank (29 L, plastic liner). In addition, the two-parameter effect of inflow temperature and mass flow rate on SOC are presented. The Nusselt number and Reynolds number are utilized to modify the analytical model, the relationship between SOC and refueling parameters can be obtained through the method of fitting. The fittings show a good agreement. The SOC can be determined from the refueling parameters based on the model with more physical meaning. The method developed in this research can be applied to the control algorithm of refueling stations to ensure safety and efficiency.

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43

DESHPANDE, M. S. "KHASARE'S EQUATION OF STATE TO SOME FLUID MIXTURES: 1-4 DIOXANE IN BENZENE, TETRAHYDROFURAN AND CARBON TETRACHLORIDE." Modern Physics Letters B 22, no. 22 (August 30, 2008): 2085–96. http://dx.doi.org/10.1142/s0217984908016728.

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A number of equations have been proposed by workers in the field of liquid state and, upon exploration, these have been found to meet success of varying degrees. Khasare has proposed a new equation of state involving intermolecular potential with three-model parameters. This equation of state has been applied to the binary liquid mixture of benzene, tetrahydrofuran and carbon tetrachloride in 1-4 dioxane. It is observed that there is a close agreement with experimental values for ultrasonic wave velocity, molar volume and, to some degree, volume expansion coefficient. Model parameters are fairly constant over the liquid phase 10 K above m.p. and 10 K below b.p.

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44

Sörner, Maria, and Krister H. U. Ström. "Estimation of equation of state parameters for 1,1,1,2-tetrafluoroethane in a modified benedict-webb-rubin equation." Canadian Journal of Chemical Engineering 73, no. 6 (December 1995): 854–61. http://dx.doi.org/10.1002/cjce.5450730609.

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45

Ougizawa, T., G. T. Dee, and D. J. Walsh. "PVT properties and equations of state of polystyrene: molecular weight dependence of the characteristic parameters in equation-of-state theories." Polymer 30, no. 9 (September 1989): 1675–79. http://dx.doi.org/10.1016/0032-3861(89)90329-7.

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46

Li, Zhonghua, and Limei Zhang. "Numerical analysis for relativistic stars with nonlinear equation of state in AdS." Modern Physics Letters A 30, no. 21 (June 18, 2015): 1550105. http://dx.doi.org/10.1142/s0217732315501059.

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It is known that for self-gravitating radiation stars in anti-de Sitter (AdS) spacetime, there is a critical dimension, larger than it, the stars always maintain stability with any central energy density [Formula: see text]; smaller than it, there is a maximal mass for the [Formula: see text] and when the [Formula: see text] continues to increase, the total mass of stars becomes a function of the [Formula: see text], and the function appears as an oscillation behavior and therefore the stars become unstable. In this paper we extend this study to the nonlinear case, in this case the equation of state is [Formula: see text], in AdS spacetime, where a and b are two constant parameters. For the nonlinear case,the equations of gravitational field are more complicated, so the relation of total mass to the central energy density is numerically investigated. In particular, the effect of the two parameters a and b and the relation between spacetime dimension d, mass and [Formula: see text] are analyzed. We find that the critical dimension changes when the parameters a and b vary, namely the equation of state. In particular, the critical dimension decreases when b decreases.

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47

Crichton, W. A., and N. L. Ross. "Equation of state of phase E." Mineralogical Magazine 64, no. 3 (June 2000): 561–67. http://dx.doi.org/10.1180/002646100549427.

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AbstractThe isothermal equation of state (EoS) of phase E, Mg1.96(7)Fe0.072(5)Si1.04(5)H3.7(8)O6, has been determined using high-pressure single-crystal X-ray diffraction. A third-order Birch Murnaghan EoS fit to pressue-volume data collected from room pressure and temperature to 6.7 GPa reveals that phase E has the lowest bulk modulus, KT = 92.9(7) GPa, and highest pressure derivative of the bulk modulus, K' = 7.3(2), for any dense hydrous magnesium silicate (DHMS) yet measured. A parameterized third-order Birch-Murnaghan EoS was also fit to the unit-cell parameters which display significant curvature with increasing pressure. This analysis shows that the c-axis (Kc = 89.1(10) GPa) is 6% more compressible than the a-axis (Ka = 94.8(6) GPa), with little of the anisotropy commonly observed in other layered structures. The high K' is indicative of the similarity to layers of the brucite structure. The introduction of interlayer cation polyhedra to the structure serves to reduce both the anisotropy, by reducing the compressibility perpendicular to the sheets, and the ability to shear, by increasing the coherence between layers.

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48

Ray, Supratim, Chandana Sengupta, and Kunal Roy. "QSAR modeling of antiradical and antioxidant activities of flavonoids using electrotopological state (E-State) atom parameters." Open Chemistry 5, no. 4 (December 1, 2007): 1094–113. http://dx.doi.org/10.2478/s11532-007-0047-3.

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AbstractIn the present paper QSAR modeling using electrotopological state atom (E-state) parameters has been attempted to determine the antiradical and the antioxidant activities of flavonoids in two model systems reported by Burda et al. (2001). The antiradical property of a methanolic solution of 1, 1-diphenyl-2-picrylhydrazyl (DPPH) and the antioxidant activity of flavonoids in a β-carotenelinoleic acid were the two model systems studied. Different statistical tools used in this communication are stepwise regression analysis, multiple linear regressions with factor analysis as the preprocessing step for variable selection (FA-MLR) and partial least squares analysis (PLS). In both the activities the best equation is obtained from stepwise regression analysis, considering, both equation statistics and predictive ability (antiradical activity: R 2 = 0.927, Q2 = 0.871 and antioxidant activity: R 2 = 0.901, Q2 = 0.841).

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R, Kamala, and Balasubramanian R. "Superheating Limit of Hydrocarbons Based on a Generalized Dieterici Equation of State." Science & Technology Journal 9, no. 1 (January 1, 2021): 5–9. http://dx.doi.org/10.22232/stj.2021.09.01.01.

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A new three-parameter Dieterici type equation of state is employed for studying the high-temperature thermodynamic characteristics of hydrocarbons. This generalized equation of state differs from the known Dieterici equation of state by a modified attractive term. That is, a new thermodynamic similarity parameter is introduced in the attractive term of the Dieterici equation of state. The parameters of the equation of state are determined through the experimental values on the critical-point parameters of hydrocarbons. The equation of state is presented in the reduced form, from which follows the single-parameter law of corresponding states. The proposed equation of state gives the value of maximum attainable superheat for hydrocarbons of about 0.887 to 0.894 times the critical temperature. The new three- parameter generalized Dieterici equation of state offers an acceptable compliance with experimental results of maximum attainable superheat of hydrocarbons.

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50

Tiwari, Rishi Kumar, Aroonkumar Beesham, and Bhupendra Kumar Shukla. "Scenario of two-fluid dark energy models in Bianchi type-III Universe." International Journal of Geometric Methods in Modern Physics 15, no. 11 (November 2018): 1850189. http://dx.doi.org/10.1142/s021988781850189x.

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In this paper, we have analyzed the equation of state parameter for dark energy in the spatially homogeneous and anisotropic Bianchi type-III spacetime filled with a barotropic fluid and dark energy by considering a variable deceleration parameter. To solve the Einstein field equations, we assume that the expansion scalar is proportional to the shear scalar. We find that during the evolution of the Universe, the equation of state and the cosmological parameters are positive decreasing functions of cosmic time [Formula: see text]. Also, we discuss the physical parameters, as well as the jerk and cosmic span parameters, which predict that the Universe in this model approaches the [Formula: see text]CDM model at late times.

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