scholarly journals Dalton’s and Amagat’s laws fail in gas mixtures with shock propagation

2019 ◽  
Vol 5 (12) ◽  
pp. eaax4749
Author(s):  
P. Wayne ◽  
S. Cooper ◽  
D. Simons ◽  
I. Trueba-Monje ◽  
D. Freelong ◽  
...  

A shock propagating through a gas mixture leads to pressure, temperature, and density increases across the shock front. Rankine-Hugoniot relations correlating pre- and post-shock quantities describe a calorically perfect gas but deliver a good approximation for real gases, provided the pre-shock conditions are well characterized with a thermodynamic mixing model. Two classic thermodynamic models of gas mixtures are Dalton’s law of partial pressures and Amagat’s law of partial volumes. We measure post-shock temperature and pressure in experiments with nonreacting binary mixtures of sulfur hexafluoride and helium (two dramatically disparate gases) and show that neither model can accurately predict the observed values, on time scales much longer than that of the shock front passage, due to the models’ implicit assumptions about mixture behavior on the molecular level. However, kinetic molecular theory can help account for the discrepancy. Our results provide starting points for future theoretical work, experiments, and code validation.

Plants ◽  
2021 ◽  
Vol 10 (6) ◽  
pp. 1137
Author(s):  
Katja Bizaj ◽  
Mojca Škerget ◽  
Iztok Jože Košir ◽  
Željko Knez

This work investigates the efficiency of supercritical fluid extraction of hops with a variety of solvents including carbon dioxide (CO2), propane, sulfur hexafluoride (SF6), and dimethyl ether (DME) at various densities (low-density and high-density). Operating parameters were 50 bar, 100 bar and 150 bar and 20 °C, 40 °C, 60 °C and 80 °C for all solvents, respectively. The influence of process parameters on the total yield of extraction and content of bitter acids in the extracts has been investigated. The mathematical model based on Fick’s second law well described the experimental extraction results. Furthermore, HPLC analysis has been used to determine α- and β-acids in extracts. The yield of bitter compounds in hop extracts was largely influenced by the type of solvent, the temperature and pressure applied during extraction. The results show that CO2 and propane were roughly equivalent to DME in solvating power, while SF6 was a poor solvent at the same conditions. The highest yield as well as the highest concentration of bitter acids in extracts were obtained by using DME, where the optimal operating conditions were 40 °C and 100 bar for the extraction of α-acids (max. concentration 9.6%), 60 °C and 50 bar for the extraction of β-acids (4.5%) and 60 °C and 150 bar for the maximum extraction yield (25.6%).


1977 ◽  
Vol 30 (12) ◽  
pp. 2583 ◽  
Author(s):  
CP Hicks ◽  
CL Young

A technique for calculating the composition of two coexisting phases in equilibrium at a given temperature and pressure is described. The method is applicable, in principle, to any one-fluid model and any two- parameter closed equation of state. The philosophy of the technique is similar to that used in previous work on critical points.��� Values of (∂G/∂x2)T,P are calculated for mole fraction compositions ranging from zero to unity in small steps in order to locate (∂G/∂x2)T,P loops. Around each loop there is a region of phase separation and the compositions of coexisting phases are found by the usual equal-area line technique. ��� The use of the method is briefly illustrated by comparison with the experimental results for simple gas mixtures. The agreement between theory and experiment is satisfactory.


1994 ◽  
Vol 76 (1) ◽  
pp. 439-444 ◽  
Author(s):  
A. Ostlund ◽  
D. Linnarsson ◽  
F. Lind ◽  
A. Sporrong

Impairments of psychomotor, perceptual, and cognitive abilities were determined in nine male subjects exposed to inhaled SF6 partial pressures of 0, 52, 104, and 156 kPa and to inhaled N2 partial pressures of 103, 575, 825, and 1,075 kPa. Also data from a previous study with inhaled N2O partial pressures of 0, 13, 26, and 39 kPa were included. With the highest gas concentrations, performances were reduced by 41–57%. Effective doses for a 20% performance impairment were 830, 97, and 21.5 kPa for N2, SF6, and N2O, respectively, yielding relative narcotic potencies of 1.0:8.5:39. The order of narcotic potencies is the same as for the lipid solubility of the three gases. In contrast, the order of increasing tendency for hydrate formation (decreasing hydrate dissociation pressure) for the three gases is N2, N2O, and SF6. Thus, mild to moderate inert gas narcosis in humans shows the same positive relationship to lipid solubility as was shown in previous animal models that utilized much deeper levels of anesthesia.


1970 ◽  
Vol 43 (3) ◽  
pp. 487-495 ◽  
Author(s):  
J. D. Strachan ◽  
J. P. Huni ◽  
B. Ahlborn

An analytic relation is derived for the shock front velocity as a function of the initial parameters (pressure, density, and particle velocity) in a continuous, in-homogeneous medium. This relation was verified experimentally by using it to predict the propagation of a shock wave through a known rarefaction wave.


1984 ◽  
Vol 31 (1) ◽  
pp. 115-140 ◽  
Author(s):  
O. Igra ◽  
G. Ben-Dor

The propagation of a strong normal shock wave into a quiescent mixture of nitrogen gas seeded with small, spherical inert dust particles is studied. While crossing the shock front, the gaseous phase of the suspension experiences a sudden change in temperature, pressure, density and velocity. (These changes can easily be evaluated using the Rankine-Hugoniot relations.) The solid phase of the suspension (dust) is initially unaffected by the shock wave. As a result, immediately behind the shock front, one phase of the suspension (the nitrogen gas) is in a state of relatively high temperature and low velocity while the other (the dust) is in a state of relatively low temperature and high velocity. Owing to these differences in temperature and velocity, intense heat transfer and viscous interactions between the two phases take place leading eventually to a new state of equilibrium that is reached farther downstream of the shock front. The flow field where these interactions take place, the relaxation zone, is solved numerically. It is shown that the spatial extent of this zone is strongly affected by the mass concentration of the dust in the suspenson and its physical properties (size, density and specific-heat capacity). These parameters also affect the post-shock equilibrium suspension properties. It was found that increasing the dust concentration results in a shorter kinematic relaxation zone, higher post-shock suspension pressure, density and temperature, and lower velocity, as compared to a similar pure-gas case. Increasing the dust particle density or its diameter results in a longer relaxation zone and a higher post-shock equilibrium suspension pressure, density and temperature. Changes in the dust specific-heat capacity affect the extent at the thermal relaxation length and the suspension temperature and density; they do not affect the extent of the kinematic relaxation length or the post-shock suspension pressure and velocity. For the range of dust concentration, size, density, specific-heat capacity and shock-wave Mach number investigated, the kinematic relaxation zone is always longer than the thermal relaxation zone.


2005 ◽  
Vol 8 (06) ◽  
pp. 561-572 ◽  
Author(s):  
Fabio E. Londono ◽  
Rosalind A. Archer ◽  
Thomas A. Blasingame

Summary The focus of this work is on the behavior of hydrocarbon-gas viscosity and gas density. The viscosity of hydrocarbon gases is a function of pressure, temperature, density, and molecular weight, while the gas density is a function of pressure, temperature, and molecular weight. This work presents new approaches for the prediction of gas viscosity and gas density for hydrocarbon gases over practical ranges of pressure, temperature, and composition. These correlations can be used for any hydrocarbon-gas production or transportation operations. In this work, we created a large database of measured gas viscosity and gas density. This database was used to evaluate existing models for gas viscosity and gas density. We also provide new models for gas density and gas viscosity, as well as optimization of existing models, using our new database. The objectives of this research are as follows:• To create a large-scale database of measured gas-viscosity and gas-density data. This database will contain all the information necessary to establish the applicability of various models for gas density and gas viscosity over a widerange of pressures and temperatures.• To evaluate a number of existing models for gas viscosity and gas density.• To develop new models for gas viscosity and gas density using our research database; these models are proposed and validated. For this study, we created a large database from existing sources available in the literature. The properties in our database include composition, viscosity, density, temperature, pressure, pseudo reduced properties, and the gas compressibility factor. We use this database to evaluate the applicability of existing models used to determine hydrocarbon-gas viscosity and hydrocarbon-gas density (or, more specifically, the gas z-factor). Finally, we developed new models and calculation approaches to estimate the hydrocarbon-gas viscosity, and we also provide an optimization of the existing equations of state (EOS) typically used for for the calculation of the gas z-factor. Introduction Hydrocarbon-Gas Viscosity. NIST—SUPERTRAP Algorithm. The state-of-the-art mechanism for the estimation of gas viscosity is most likely the computer program SUPERTRAP, developed at the U.S. Natl. Inst. of Standard sand Technology (NIST). SUPERTRAP was developed from pure-component and mixture data and is stated to provide estimates within engineering accuracy from the triple point of a given substance to temperatures of 1,340.33°F and pressures of 44,100 psia. Because the SUPERTRAP algorithm requires the composition for a particular sample, it generally would not be suitable for applications in which only the mixture gas gravity and compositions of any contaminants are known. Carr et al. Correlation. Carr et al. developed a two-step procedure to estimate hydrocarbon-gas viscosity. The first step is to determine the gas viscosity at atmospheric conditions (i.e., a reference condition). Once estimated, the viscosity at atmospheric pressure is then adjusted to conditions at temperature and pressure using a second correlation. The gas viscosity can be estimated with graphical correlations or using equations derived from these figures. Jossi et al. Correlation. Jossi et al. developed a relationship for the viscosity of pure gases and gas mixtures; this correlation includes pure components such as argon, nitrogen, oxygen, carbon dioxide, sulfur dioxide, methane, ethane, propane, butane, and pentane. This "residualviscosity" relationship can be used to predict gas viscosity with the "reduced"density at a specific temperature and pressure, as well as the molecular weight. The critical properties of the gas (i.e., the critical temperature and critical pressure) are also required. Our presumption is that the Jossi et al. correlation (or at least a similar type of formulation) can be used for the prediction of viscosity for pure hydrocarbon gases and hydrocarbon-gas mixtures. We will note that this correlation is rarely used for hydrocarbon gases (other correlations are preferred); however, we will consider the formulation given by Jossi etal. as a potential model for the correlation of hydrocarbon-gas-viscosity behavior.


2014 ◽  
Vol 452 ◽  
pp. 311-318 ◽  
Author(s):  
Soonjae Lee ◽  
Jong Suk Lee ◽  
Minwoo Lee ◽  
Jae-Woo Choi ◽  
Sunghyun Kim ◽  
...  

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