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Academic literature on the topic 'Virial equation of state'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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Journal articles on the topic "Virial equation of state"

1

Singh, Vivek Kumar, and K. N. Khanna. "Virial coefficients from equation of state." Journal of Molecular Liquids 107, no. 1-3 (September 2003): 41–57. http://dx.doi.org/10.1016/s0167-7322(03)00139-9.

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Malijevský, Anatol, and Tomáš Hujo. "The Bender Equation of State and Virial Coefficients." Collection of Czechoslovak Chemical Communications 65, no. 9 (2000): 1464–70. http://dx.doi.org/10.1135/cccc20001464.

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The second and third virial coefficients calculated from the Bender equation of state (BEOS) are tested against experimental virial coefficient data. It is shown that the temperature dependences of the second and third virial coefficients as predicted by the BEOS are sufficiently accurate. We conclude that experimental second virial coefficients should be used to determine independently five of twenty constants of the Bender equation. This would improve the performance of the equation in a region of low-density gas, and also suppress correlations among the BEOS constants, which is even more important. The third virial coefficients cannot be used for the same purpose because of large uncertainties in their experimental values.

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Estela-Uribe, J. F., J. Jaramillo, M. A. Salazar, and J. P. M. Trusler. "Virial equation of state for natural gas systems." Fluid Phase Equilibria 204, no. 2 (February 2003): 169–82. http://dx.doi.org/10.1016/s0378-3812(02)00264-9.

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Galibin, N. S. "Exponential form of the virial equation of state." High Temperature 49, no. 2 (April 2011): 199–204. http://dx.doi.org/10.1134/s0018151x11020064.

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MAGANA, RUSLAN, HUA ZHENG, and ALDO BONASERA. "VIRIAL EXPANSION OF THE NUCLEAR EQUATION OF STATE." International Journal of Modern Physics E 21, no. 01 (January 2012): 1250006. http://dx.doi.org/10.1142/s0218301312500061.

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We study the equation of state (EOS) of nuclear matter as function of density. We expand the energy per particle (E/A) of symmetric infinite nuclear matter in powers of the density to take into account 2, 3, …, N-body forces. New EOS are proposed by fitting ground state properties of nuclear matter (binding energy, compressibility and pressure) and assuming that at high densities a second-order phase transition to the quark–gluon plasma (QGP) occurs. The latter phase transition is due to symmetry breaking at high density from nuclear matter (locally color white) to the QGP (globally color white). In the simplest implementation of a second-order phase transition we calculate the critical exponent δ by using Landau's theory of phase transition. We find δ = 3. Refining the properties of the EOS near the critical point gives δ = 5 in agreement with experimental results. We also discuss some scenarios for the EOS at finite temperatures.

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Mattiello, S., and W. Cassing. "QCD equation of state in a virial expansion." Journal of Physics G: Nuclear and Particle Physics 36, no. 12 (October 23, 2009): 125003. http://dx.doi.org/10.1088/0954-3899/36/12/125003.

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Apfelbaum, E. M., and V. S. Vorob’ev. "Modified Virial Expansion and the Equation of State." Russian Journal of Mathematical Physics 28, no. 2 (April 2021): 147–55. http://dx.doi.org/10.1134/s1061920821020023.

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Young, J. B. "An Equation of State for Steam for Turbomachinery and Other Flow Calculations." Journal of Engineering for Gas Turbines and Power 110, no. 1 (January 1, 1988): 1–7. http://dx.doi.org/10.1115/1.3240080.

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Large-scale equations of state for steam used for generating tables are unsuitable for inclusion infinite difference flow calculation computer codes. Such codes, which are in common use in the turbomachinery industry, may require 106 property evaluations before convergence is achieved. This paper describes a simple equation of state for superheated and two-phase property calculations for use in these circumstances. Computational efficiency is excellent and accuracy over the range of application is comparable to that of the large-scale equations. Further advantages are that complete thermodynamic consistency is maintained and the equation can be differentiated analytically for direct substitution into the gas dynamic equations where required. A truncated virial form is used to represent superheated properties and a new empirical correlation for the third virial coefficient of steam is presented.

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Tian, Jianxiang, and Hua Jiang. "Equation of state for the hard tetrahedron fluid at stable state." International Journal of Modern Physics B 33, no. 14 (June 10, 2019): 1950136. http://dx.doi.org/10.1142/s0217979219501364.

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Based on the previous works [J. X. Tian, Y. X. Gui and A. Mulero, J. Phys. Chem. B 114, 13399 (2010); Phys. Chem. Chem. Phys. 12, 13597 (2010)], we constructed a new equation of state for the hard tetrahedron (HTH) fluid at stable state by using the recently published Monte Carlo simulation data [J. Kolafa and S. Labík, Mol. Phys. 113, 1119 (2015)]. It can reproduce the correct virial coefficients upto nine, which is the known highest order of virial coefficient for HTH fluid. It also describes the simulation data of the compressibility factor versus the packing fraction at stable state with high accuracy.

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Tian, Jianxiang, Yuanxing Gui, and A. Mulero. "New virial equation of state for hard-disk fluids." Physical Chemistry Chemical Physics 12, no. 41 (2010): 13597. http://dx.doi.org/10.1039/c0cp00476f.

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Dissertations / Theses on the topic "Virial equation of state"

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Alruwaili, Amal O. "THERMODYNAMIC PROPERTIES AND THE VIRIAL EQUATION OF STATE FOR THE CRUST OF NEUTRON STARS." Kent State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=kent1437133827.

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Bourne, Thomas. "Applications of the virial equation of state to determining the structure and phase behaviour of fluids." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/applications-of-the-virial-equation-of-state-to-determining-the-structure-and-phase-behaviour-of-fluids(809267a4-117a-49a2-9e36-44baa5f12860).html.

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This work considers the extent to which the virial expansion can describe the structure and phase behaviour of several model fluids. These are the hard-sphere fluid, inverse-power potential fluids, the Lennard-Jones fluid and two kinds of 'square-shoulder' potential. The first novel contribution to knowledge that this work makes is in using virials to obtain the direct correlation function of a hard-core inverse-power potential fluid at densities close to freezing. Predicted radial distribution functions for the fluid at these densities are found that agree well with integral equation theory and simulation data. For softer-core potentials, a convergent direct correlation function is obtained at densities up to those at which a convergent virial expansion is known to exist. The study then extends to a Lennard-Jones fluid. At super-critical temperatures, a convergent direct correlation function is found as before. However, at sub-critical temperatures, the direct correlation function is found to diverge at all points for densities below criticality. Several recently-proposed re-summations of the pressure virial expansion are studied to improve its convergence at high densities. Some promise is shown in improving the accuracy of the virial expansion at high densities, but a re-summed virial expansion is found to be unable to fully capture the true behaviour of the system at densities close to criticality. A second novel contribution to knowledge is made by the reporting of virial coefficient data for several dissipative particle dynamics and penetrative square well potential forms. This is used to study the effect of re-summing the virial expansion for these systems in order to improve its convergence at high densities. The virial expansions of these potentials are found to perform increasingly poorly in the proximity of a vapour-liquid phase transition. This is in agreement with the results of investigating the Lennard-Jones fluid. Thirdly, this investigation considers the whether the virial expansion can describe the freezing of a hard sphere fluid and therefore predict the entire phase diagram for this system. This is investigated using a virial expansion to model the excess contribution to the Helmholtz energy functional. The virial expansion is not found to be able to accurately the point of phase transition, most likely due to questions remaining over the choice of a Gaussian basis set to describe lattice.

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Rambaks, Andris, Filipp Kratschun, Carsten Flake, Maren Messirek, Katharina Schmitz, and Hubertus Murrenhoff. "Computational approach to the experimental determination of diffusion coefficients for oxygen and nitrogen in hydraulic fluids using the pressure-decay method." Technische Universität Dresden, 2020. https://tud.qucosa.de/id/qucosa%3A71099.

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In the presented paper, the applicability of pressure-decay methods to determine the diffusivities of gases in hydraulic fluids is analysed. First, the method is described in detail and compared to other measurement methods. Secondly, the thermodynamics and the mass transfer process of the system are studied. This results in four different thermodynamic models of the gaseous phase in combination with two diffusion models. Thirdly, the influence of the models on the pressure-decay method is evaluated computationally by examining the diffusion process of air in water as all system parameters are available from literature. It is shown that ordinary pressure-decay methods are not applicable to gas mixtures like air and therefore a new method for calculating the diffusivities is suggested.

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Verma, Kusum S. "The osmotic second virial coefficient as a predictor of protein stability." Master's thesis, Mississippi State : Mississippi State University, 2006. http://sun.library.msstate.edu/ETD-db/ETD-browse/browse.

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Melia, F. "The cosmic equation of state." Springer Verlag, 2014. http://hdl.handle.net/10150/614766.

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The cosmic spacetime is often described in terms of the Friedmann-Robertson-Walker (FRW) metric, though the adoption of this elegant and convenient solution to Einstein's equations does not tell us much about the equation of state, $p=w\rho$, in terms of the total energy density $\rho$ and pressure $p$ of the cosmic fluid. $\Lambda$CDM and the $R_{\rm h}=ct$ Universe are both FRW cosmologies that partition $\rho$ into (at least) three components, matter $\rho_{\rm m}$, radiation $\rho_{\rm r}$, and a poorly understood dark energy $\rho_{\rm de}$, though the latter goes one step further by also invoking the constraint $w=-1/3$. This condition is apparently required by the simultaneous application of the Cosmological principle and Weyl's postulate. Model selection tools in one-on-one comparisons between these two cosmologies favor $R_{\rm h}=ct$, indicating that its likelihood of being correct is $\sim 90\%$ versus only $\sim 10\%$ for $\Lambda$CDM. Nonetheless, the predictions of $\Lambda$CDM often come quite close to those of $R_{\rm h}=ct$, suggesting that its parameters are optimized to mimic the $w=-1/3$ equation-of-state. In this paper, we explore this hypothesis quantitatively and demonstrate that the equation of state in $R_{\rm h}=ct$ helps us to understand why the optimized fraction $\Omega_{\rm m}\equiv \rho_m/\rho$ in $\Lambda$CDM must be $\sim 0.27$, an otherwise seemingly random variable. We show that when one forces $\Lambda$CDM to satisfy the equation of state $w=(\rho_{\rm r}/3-\rho_{\rm de})/\rho$, the value of the Hubble radius today, $c/H_0$, can equal its measured value $ct_0$ only with $\Omega_{\rm m}\sim0.27$ when the equation-of-state for dark energy is $w_{\rm de}=-1$. (We also show, however, that the inferred values of $\Omega_{\rm m}$ and $w_{\rm de}$ change in a correlated fashion if dark energy is not a cosmological constant, so that $w_{\rm de}\not= -1$.) This peculiar value of $\Omega_{\rm m}$ therefore appears to be a direct consequence of trying to fit the data with the equation of state $w=(\rho_{\rm r}/3-\rho_{\rm de})/\rho$ in a Universe whose principal constraint is instead $R_{\rm h}=ct$ or, equivalently, $w=-1/3$.

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White, M. P. "Direct measurement of the dielectric virial coefficients of helium from 3 to 17.67 K." Thesis, University of Bristol, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.281845.

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Parupudi, Arun Kumar. "Demonstration of scale-down dynamic light scattering and determination of osmotic second virial coefficients for proteins." Master's thesis, Mississippi State : Mississippi State University, 2007. http://sun.library.msstate.edu/ETD-db/theses/available/etd-11092007-112135/.

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Atilhan, Mert. "A new cubic equation of state." Thesis, Texas A&M University, 2004. http://hdl.handle.net/1969.1/352.

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Thermodynamic properties are essential for the design of chemical processes, and they are most useful in the form of an equation of state (EOS). The motivating force of this work is the need for accurate prediction of the phase behavior and thermophysical properties of natural gas for practical engineering applications. This thesis presents a new cubic EOS for pure argon. In this work, a theoretically based EOS represents the PVT behavior of pure fluids. The new equation has its basis in the improved Most General Cubic Equation of State theory and forecasts the behavior of pure molecules over a broad range of fluid densities at both high and low pressures in both single and multiphase regions. With the new EOS, it is possible to make accurate estimations for saturated densities and vapor pressures. The density dependence of the equation results from fitting isotherms of test substances while reproducing the critical point, and enforcing the critical point criteria. The EOS includes analytical functions to fit the calculated temperature dependence of the new EOS parameters.

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陳柏緯 and Pak-wai Chan. "Equation of state of nuclear matter." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1994. http://hub.hku.hk/bib/B31211215.

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Kedge, Christopher J. "A new non-cubic equation of state." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape3/PQDD_0017/MQ49698.pdf.

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Books on the topic "Virial equation of state"

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Greiner, Walter, and Horst Stöcker, eds. The Nuclear Equation of State. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-0583-5.

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NATO Advanced Study Institute on the Nuclear Equation of State (1989 Peñíscola, Spain). The nuclear equation of state. New York: Plenum Press, 1989.

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Maxwell, James Clerk. Maxwell on heat and statistical mechanics: On "avoiding all personal enquiries" of molecules. Bethlehem: Lehigh University Press, 1995.

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Ronchi, Claudio, Igor Lvovitch Iosilevski, and Eugene Solomonovich Yakub. Equation of State of Uranium Dioxide. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18603-5.

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Roussel, Marc R. Functional equation methods in steady-state enzyme kinetics. Ottawa: National Library of Canada, 1990.

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Ronchi, C. Equation of State of Uranium Dioxide: Data Collection. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004.

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Kreiss, Gunilla. Convergence to steady state of solutions of Burgers' equation. Hampton, Va: ICASE, 1985.

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Michelassi, V. Solution of the steady state incompressible Navier-Stokes equations in curvilinear non orthogonal coordinates. Rhode Saint Genese, Belgium: von Karman Institute for Fluid Dynamics, 1986.

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Selected topics in shock wave physics and equation of state modeling. Singapore: World Scientific, 1994.

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10

Shen, Shun-Qing. Topological Insulators: Dirac Equation in Condensed Matters. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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Book chapters on the topic "Virial equation of state"

1

Blankschtein, Daniel. "Configurational Integral and Statistical Mechanical Derivation of the Virial Equation of State." In Lectures in Classical Thermodynamics with an Introduction to Statistical Mechanics, 495–504. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-49198-7_46.

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Bader, R. F. W. "Incorporating the Virial Field into the Hartree-Fock Equations." In The Fundamentals of Electron Density, Density Matrix and Density Functional Theory in Atoms, Molecules and the Solid State, 185–93. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0409-0_14.

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Blankschtein, Daniel. "Virial Coefficients in the Classical Limit, Statistical Mechanical Derivation of the van der Waals Equation of State, and Sample Problem." In Lectures in Classical Thermodynamics with an Introduction to Statistical Mechanics, 505–14. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-49198-7_47.

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Gooch, Jan W. "Equation of State." In Encyclopedic Dictionary of Polymers, 272. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-6247-8_4483.

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Ahrens, T. J. "Equation of State." In High-Pressure Shock Compression of Solids, 75–113. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4612-0911-9_4.

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Guillot, Tristan. "Equation of State." In Encyclopedia of Astrobiology, 501–2. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-11274-4_1506.

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Burgot, Jean-Louis. "Equation of State." In Thermodynamics in Bioenergetics, 15–16. Boca Raton, FL : CRC Press, 2019. | “A science publishers book.”: CRC Press, 2019. http://dx.doi.org/10.1201/9781351034227-3.

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Guillot, Tristan. "Equation of State." In Encyclopedia of Astrobiology, 1–2. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-27833-4_1506-3.

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Guillot, Tristan. "Equation of State." In Encyclopedia of Astrobiology, 743–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-44185-5_1506.

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Skačej, Gregor, and Primož Ziherl. "Equation of State." In Solved Problems in Thermodynamics and Statistical Physics, 135–66. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-27661-4_9.

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Conference papers on the topic "Virial equation of state"

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Adebiyi, George A. "Formulations for the Thermodynamic Properties of Pure Substances." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-41299.

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Complete analysis of thermodynamic systems generally requires knowledge of the property values of substances at different states. Performing such analysis on the computer is facilitated if the equations of state for the substances are available in relatively simple analytic forms. This article presents a procedure for formulation for the thermodynamic properties of pure substances using two primary sets of data, namely the pvT data and the specific heat data such as the constant-pressure specific heat, cp, as a function of pressure and temperature. By developing a correlation of the pvT data in the virial form of equation of state, an appropriate corresponding correlation can be determined for the specific heat of the substance on the basis of the laws of thermodynamics. The resulting equations of state take on remarkably simple analytic forms that give accurate predictions over the range of input data employed.

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Rambaks, Andris, and Katharina Schmitz. "Method for the Experimental Determination of the Bunsen Absorption Coefficient of Hydraulic Fluids." In ASME/BATH 2019 Symposium on Fluid Power and Motion Control. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/fpmc2019-1702.

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Abstract A manometric-volumetric method to determine the Bunsen absorption coefficient of hydraulic fluids at high-pressures is presented. The virial equation of state is used to determine the amount of substance and its composition in the gaseous phase and at high-pressures. An error-analysis is presented for a best-case error estimate of the method.

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Mobinipouya, Neda, and Omid Mobinipouya. "On the Heat Transfer Enhancement of Turbulent Gas Floes in Short Round Tubes Engaging a Light Gas Mixed With Selected Heavier Gases." In ASME 2011 9th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2011. http://dx.doi.org/10.1115/icnmm2011-58136.

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A unique way for maximizing turbulent free convection from heated vertical plates to cold gases is studied in this paper. The central idea is to examine the attributes that binary gas mixtures having helium as the principal gas and xenon, nitrogen, oxygen, carbon dioxide, methane, tetrafluoromethane and sulfur hexafluoride as secondary gases may bring forward. From fluid physics, it is known that the thermo-physical properties affecting free convection with binary gas mixtures are viscosity ηmix, thermal conductivity λmix, density ρmix, and heat capacity at constant pressure. The quartet ηmix, λmix, ρmix, and Cp,mix is represented by triple-valued functions of the film temperature the pressure P, and the molar gas composition w. The viscosity is obtained from the Kinetic Theory of Gases conjoined with the Chapman-Enskog solution of the Boltzmann Transport Equation. The thermal conductivity is computed from the Kinetic Theory of Gases. The density is determined with a truncated virial equation of state. The heat capacity at constant pressure is calculated from Statistical Thermodynamics merged with the standard mixing rule. Using the similarity variable method, the descriptive Navier-Stokes and energy equations for turbulent Grashof numbers Grx > 109 are transformed into a system of two nonlinear ordinary differential equations, which is solved by the shooting method and the efficient fourth-order Runge-Kutta-Fehlberg algorithm. The numerical temperature fields T(x, y) for the five binary gas mixtures He-Xe, He-N2, He-O2, He-CO2, He-CH4, He-CF4 and He-SF6 are channeled through the allied mean convection coefficient hmix/B varying with the molar gas composition w in proper w-domain [0, 1]. For the seven binary gas mixtures utilized, the allied mean convection coefficient hmix/B versus the molar gas composition w is graphed in congruous diagrams. At a low film temperature Tf = 300 K, the global maximum allied mean convection coefficient hmix,max/B = 85 is furnished by the He-SF6 gas mixture at an optimal molar gas composition wopt = 0.93. The global maximum allied mean convection coefficient hmix,max/B = 57 is supplied by pure methane gas SF6 (w = 1) at a high film temperature Tf = 1000 K instead of the He-SF6 gas mixture.

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Raimondo, Lucio, Lorenzo Iannucci, Paul Robinson, Paul T. Curtis, and Garry M. Wells. "Shock Modelling of Multi-Phase Materials: Advances and Challenges." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71700.

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This paper presents part of an ongoing programme of work on high velocity impact modelling on composite targets. The modelling approach aims to link existing low velocity constitutive failure models, including delamination modelling, with relevant orthotropic Equations Of State models. A methodology for predicting the Hugoniot states (shock velocity vs. particle velocity) of multi-phase materials at high compression is presented. The Gruneisen parameter of the mixture is also derived. The proposed approach is a step toward a full thermodynamic virtual characterisation of untested multi-phase materials, when tabulated shock data for the constituents is available [1]. Other approaches have been proposed [2], [3]; however, they require complex Finite Element coding and iterative procedures and are limited to two-phase materials. The approach is critically discussed in relation to shock data derived from existing flyer plate impact test data. An orthotropic Equation of State [4] has also been implemented into the LS-DYNA3D code. A flyer plate test is simulated using the implemented model, and with material parameters derived using the theory of mixture approach. The current orthotropic Equation of State formulation is discussed, within the limitation of classical Lagrangian FE techniques. Additionally, conclusions are drawn on the logical next step to model high velocity angled impacts onto orthotropic targets.

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Ansari, A., and L. Satpathy. "NUCLEAR EQUATION OF STATE." In Lecture Notes of the Workshop. WORLD SCIENTIFIC, 1996. http://dx.doi.org/10.1142/9789814531177.

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Danielewicz, Paweł. "Nuclear equation of state." In NONEQUILIBRIUM AND NONLINEAR DYNAMICS IN NUCLEAR AND OTHER FINITE SYSTEMS:International Conference. AIP, 2001. http://dx.doi.org/10.1063/1.1427443.

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Nagashima, Hiroki, Shin-ichi Tsuda, Nobuyuki Tsuboi, Mitsuo Koshi, A. Koichi Hayashi, and Takashi Tokumasu. "A Molecular Dynamics Analysis of Quantum Effect on the Thermodynamic Properties of Liquid Hydrogen." In ASME 2013 11th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/icnmm2013-73161.

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Liquid Hydrogen plays an important role in hydrogen energy society. Therefore it is important to understand its thermal and transport properties accurately. However cryogenic hydrogen has unusual thermodynamic properties because of its quantum nature. The thermal de Broglie wavelength of cryogenic hydrogen molecule becomes the same order as molecular diameter. Therefore, each molecular position and its momentum cannot be defined classically. Because of this nature, hydrogen molecules show higher diffusivity than classical counterpart. Until now, the effects of quantum nature of hydrogen and its mechanism on the thermodynamic properties have not been clarified in detail. Especially, how the quantum nature would effect on the energy transfer in molecular scale has not been clarified. An accurate understanding of the effect and mechanism of quantum nature is important for hydrogen storage method and energy devices which use hydrogen as a fuel. In this study, therefore, we investigated the effect of this quantum nature and its mechanism on the thermodynamic and transport properties of cryogenic hydrogen using classical Molecular Dynamics (MD) method and quantum molecular dynamics method. We applied path integral Centroid Molecular Dynamics (CMD) method for the analysis. First, we have conducted thermodynamic estimation of cryogenic hydrogen using the MD methods. This simulation was performed across a wide density-temperature range. Using these results, equations of state (EOS) were obtained by Kataoka’s method, and these were compared with experimental data according to the principle of corresponding states. As a result, it was confirmed that both quantitative and qualitative effect of the quantum nature on the thermodynamic properties of hydrogen are large. It was also found that taking account the quantum nature makes larger virial pressure and weaker intermolecular interaction energy. Second, we have calculated the diffusion coefficient of liquid hydrogen to clarify the effect of the quantum nature on the transport properties. We used Green-Kubo form for the calculation using velocity autocorrelation function. The simulation was performed across a wide temperature range. CMD simulation results were compared with classical simulation results and experimental data. We clarified the effect of quantum nature on the transport properties of liquid hydrogen.

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Pinto, Roberto Enrique. "State Change Equation: Calculation formula." In 2012 Workshop on Engineering Applications (WEA). IEEE, 2012. http://dx.doi.org/10.1109/wea.2012.6220074.

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Lordache, Mihai, Sorin Deleanu, Ciprian Curteanu, Neculai Galan, and Anastasie-Anton Moscu. "SYSEG — Symbolic state equation generation." In 2017 International Conference on Electromechanical and Power Systems (SIELMEN). IEEE, 2017. http://dx.doi.org/10.1109/sielmen.2017.8123295.

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Aavatsmark, I. "Generalized Cubic Equation of State." In Fourth EAGE CO2 Geological Storage Workshop. Netherlands: EAGE Publications BV, 2014. http://dx.doi.org/10.3997/2214-4609.20140073.

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Reports on the topic "Virial equation of state"

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Grove, John W. xRage Equation of State. Office of Scientific and Technical Information (OSTI), August 2016. http://dx.doi.org/10.2172/1304734.

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Menikoff, Ralph. JWL Equation of State. Office of Scientific and Technical Information (OSTI), December 2015. http://dx.doi.org/10.2172/1229709.

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Crockett, Scott. Equation of State Project Overview. Office of Scientific and Technical Information (OSTI), September 2015. http://dx.doi.org/10.2172/1214628.

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Scannapieco, Anthony J. Equation-of-State Scaling Factors. Office of Scientific and Technical Information (OSTI), June 2016. http://dx.doi.org/10.2172/1260346.

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Epperly, T., F. Fritsch, P. Norquist, and L. Sanford. Scalable Equation of State Capability. Office of Scientific and Technical Information (OSTI), December 2007. http://dx.doi.org/10.2172/923991.

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Young, D., and D. Orlikowski. Tantalum equation of state package. Office of Scientific and Technical Information (OSTI), December 2008. http://dx.doi.org/10.2172/945516.

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Davis, W. C. Equation of state for detonation products. Office of Scientific and Technical Information (OSTI), December 1998. http://dx.doi.org/10.2172/329490.

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Mackowski, Kristin Nicole, Joshua Damon Coe, Katie A. Maerzke, and Sven Peter Rudin. Equation of State for Silicon Carbide. Office of Scientific and Technical Information (OSTI), August 2018. http://dx.doi.org/10.2172/1467226.

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Ulitsky, M., G. Zimmerman, P. Renard, and N. Tang. Equation of State Scalings in Kull. Office of Scientific and Technical Information (OSTI), December 2007. http://dx.doi.org/10.2172/923987.

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Kerley, G. I. Multiphase equation of state for iron. Office of Scientific and Technical Information (OSTI), February 1993. http://dx.doi.org/10.2172/6345571.

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