On the computation of the fundamental derivative of gas dynamics using equations of state

Colonna, Piero; Nannan, N.R.; Guardone, Alberto; Stelt, T.P. van der

doi:10.1016/j.fluid.2009.07.021

Cited by 37 publications

(31 citation statements)

References 56 publications

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“…The experimental proof of nonclassical gasdynamic effects in flows of dense vapors has been the subject of several studies [2,3,1], most of all focused on a shock tube configuration for generating a rarefaction shock wave (RSW). These works show that nonclassical gasdynamic effects are generally very weak with respect to compression shock waves, and can occur only in a limited range of conditions.…”

Section: Introductionmentioning

confidence: 99%

Computation of tail probabilities for non-classical gasdynamic phenomena

Razaaly

Congedo

2017

J. Phys.: Conf. Ser.

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Abstract. This paper presents a novel method for computing the tail probability of a given quantity of interest by using only a low number of evaluations of the computer model, representing the problem of interest under uncertainties. This method is then applied to the study of rarefaction shock waves (RSW) in a dense-gas shock tube. It is well-known in literature that the prediction of a RSW is highly sensitive to uncertainties on the initial flow conditions. The objective of this work is to compute a very accurate estimation of the RSW probability of occurrence in a shock tube configuration.

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Section: Introductionmentioning

confidence: 99%

Computation of tail probabilities for non-classical gasdynamic phenomena

Razaaly

Congedo

2017

J. Phys.: Conf. Ser.

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“…The resulting probabilities are not normalized but it is clear that P( N 1 , V , E ) = 1, irrespective of how many terms are included in Equation (7). It should be noted that, using an entropy expansion approach beyond Gaussian, it is problematic to assume that the mean values of N 1 , V, and E are also the most probable values.…”

Section: Ds/rmentioning

confidence: 99%

“…4 Equilibrium fluctuations can be related to a series of thermodynamic properties (derivatives), and play an integral role in a variety of fluctuationdissipation theorem based relationships, 5,6 and other fluid behaviors. 7,8 The majority of approaches involve an expansion of the entropy. The most common treatment of fluctuations is provided by Landau and Lifshitz, 9 while a more extensive discussion was recently provided by Mishin.…”

Section: Introductionmentioning

confidence: 99%

Gaussian and non-Gaussian fluctuations in pure classical fluids

Naleem

Ploetz

Smith

2017

The Journal of Chemical Physics

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The particle number, energy, and volume probability distributions in the canonical, isothermalisobaric, grand canonical, and isobaric-isenthalpic ensembles are investigated. In particular, we consider Gaussian and non-Gaussian behavior and formulate the results in terms of a single expression valid for all the ensembles employing common, experimentally accessible, thermodynamic derivatives. This is achieved using Fluctuation Solution Theory to help manipulate derivatives of the entropy. The properties of the distributions are then investigated using available equations of state for fluid water and argon. Purely Gaussian behavior is not observed for any of the state points considered here. A set of simple measures, involving thermodynamic derivatives, indicating non-Gaussian behavior is proposed. A general expression, valid in the high temperature limit, for small energy fluctuations in the canonical ensemble is provided. Published by AIP Publishing. [http://dx

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“…Real gas effects are particularly strong for highly complex molecules which display a non-monotonic variation of the sound speed with respect to pressure. Some fluids characterized by particularly high molecular complexity have been theoretically predicted [7][8][9][10] to display a region of negative values of the fundamental derivative of fluid dynamics C [11] in the vapor phase. This thermodynamic region is called the inversion zone [12] and the locus of thermodynamic states in the vapor phase such that C < 0 is referred to as the transition line.…”

Section: Introductionmentioning

confidence: 99%