Gas-liquid critical properties of the cycloalkanes and their mixtures

1972 ◽  
Vol 25 (8) ◽  
pp. 1625 ◽  
Author(s):  
CL Young
Keyword(s):  
Vapour Pressure ◽  
Critical Region ◽  
Van Der Waals ◽  
Mixture Theory ◽  
Inert Gases ◽  
Critical Properties ◽  
Critical Temperatures ◽  
Fluid Mixture

Gas-liquid critical temperatures of the C5-C8 cycloalkane mixtures and the vapour pressure and densities of cycloheptane and cyclooctane near the critical region are presented. Deviations of the reduced vapour pressure and density of the cycloalkanes from those of the inert gases have been calculated. The deviations have been found to be similar for all four cycloalkanes. The critical temperatures of the mixtures have been discussed in terms of the van der Waals "one fluid" mixture theory.

Critical region ultrasonsic attenuation in the condensed inert gases

1983 ◽  
Vol 61 (6) ◽  
pp. 895-902 ◽  
Author(s):  
J. A. Cowan ◽  
J. W. Leech
Keyword(s):  
Power Law ◽  
Bulk Viscosity ◽  
Vapour Pressure ◽  
Critical Region ◽  
High Frequency ◽  
Inert Gases ◽  
Saturated Vapour Pressure ◽  
Critical Isochore ◽  
Saturated Vapour ◽  
Inverse Power Law

New measurements in the range 5–15 MHz are reported for Kr and Xe along the saturated vapour pressure (SVP) line and the critical isochore. Analyzed together with previous 55 Mz measurements the results indicate a limiting high frequency corresponding states behaviour in which both the attenuation and those parts of the measurements associated with bulk viscosity and critical point effects show simple inverse power law dependence on [Formula: see text].

The gas-liquid critical properties of alkane mixtures: Cycloalkanes + n-Alkanes and Cycloalkanes + Branched Alkanes

1977 ◽  
Vol 30 (10) ◽  
pp. 2103 ◽  
Author(s):  
KN Marsh ◽  
CL Young
Keyword(s):  
Interaction Energy ◽  
Fluid Model ◽  
Van Der Waals ◽  
Energy Parameter ◽  
Critical Properties ◽  
Critical Temperatures ◽  
Branched Alkanes

The gas-liquid critical temperatures, Tcm of cycloalkane + n-alkane and cycloalkane + branched alkane mixtures are reported. The interaction energy parameter, ξ(expressing the deviation from the Berthelot combining rule), has been calculated for each mixture from the values of Tcm using the van der Waals one-fluid model. The values of ξ are within 0.5% of unity.

scholarly journals FORCED CONVECTION IN DUCTS WITH PERMEABLE WALLS

2003 ◽  
Vol 2 (1) ◽  
pp. 58
Author(s):  
C. H. Alexandrino ◽  
M. L. Martins-Costa
Keyword(s):  
Energy Transfer ◽  
Finite Difference ◽  
Mixture Theory ◽  
Theory Model ◽  
The Other ◽  
Convective Term ◽  
Compatibility Conditions ◽  
Fluid Mixture ◽  
Local Description ◽  
Permeable Walls

A mixture theory model is employed in a local description of the energy transfer in a duct with permeable wall which is simulated by considering two distinct flow regions, one consisting of a Newtonian incompressible fluid and the other represented by a binary (solid-fluid) mixture. Compatibility conditions at the interface (pure fluid-mixture) for momentum and energy transfer are considered. The simulations are carried out by using a finite difference approach with an upwind strategy for the convective term discretization.

scholarly journals An improved method for calculating critical temperatures and critical pressures in natural gas mixtures with up to nC11 hydrocarbons

2019 ◽  
Vol 74 ◽  
pp. 53
Author(s):  
Marvin Ricaurte ◽  
José M. Fernández ◽  
Alfredo Viloria
Keyword(s):  
Natural Gas ◽  
Empirical Model ◽  
Gas Mixtures ◽  
Gas Condensate ◽  
Critical Properties ◽  
Improved Method ◽  
Critical Temperatures

This study suggests an improvement to the empirical model proposed by Peng (1986, Can. J. Chem. Eng. 64, 827–830) to calculate critical temperatures and critical pressures in natural gas mixtures. It aims to extend its application to natural gas mixtures containing hydrocarbons compounds up to undecane (nC11). This work focuses on establishing new matrices of coefficients Aij by obtaining new binary interactions between heavy compounds and the rest of compounds present in natural gas mixtures. The analysis considered more than 300 natural gas mixtures. Different comparisons were made between calculated critical properties, and referenced critical properties. Mean absolute errors <1.00% for the critical temperatures, and <2.70% for critical pressures were obtained. These low average deviations demonstrate the accuracy of this study, and could be considered as an easy-to-use engineering tool for estimating critical properties in natural gas mixtures, applicable to lean gas, rich gas, gas condensate, and Natural Gas Liquids (NGL).

Van der Waals Forces for the Inert Gases

1964 ◽  
Vol 135 (4A) ◽  
pp. A1018-A1019 ◽  
Author(s):  
A. E. Kingston
Keyword(s):  
Van Der Waals ◽  
Van Der Waals Forces ◽  
Inert Gases

ON THE LIQUID–VAPOR COEXISTENCE CURVE OF XENON IN THE REGION OF THE CRITICAL TEMPERATURE

1952 ◽  
Vol 30 (5) ◽  
pp. 422-437 ◽  
Author(s):  
M. A. Weinberger ◽  
W. G. Schneider
Keyword(s):  
Critical Temperature ◽  
Critical Region ◽  
Van Der Waals ◽  
Coexistence Curve ◽  
Packing Materials ◽  
Critical Data ◽  
Van Der Waals Theory ◽  
Liquid Vapor

The liquid–vapor coexistence curves of very pure xenon have been determined in bombs of vertical lengths 1.2 cm. and 19 cm. The longer bomb yielded a flat-topped coexistence curve, the shorter a more rounded curve. The classical van der Waals theory is capable of explaining a large portion of the flat top if effects of gravity are taken into account. Details of the theoretical variation of the width of the flat top with vertical bomb lengths are given. The critical data obtained for xenon are ρc = 1.105 gm./cc., Tc = 16.590 ±.001 °C. The danger of contamination of gases in the critical region on contact with gasket or packing materials is stressed.

scholarly journals On a relation between the refractive and dispersive constants of the inert gases

1927 ◽  
Vol 114 (769) ◽  
pp. 659-661
Keyword(s):  
Accurate Determination ◽  
Inert Gases ◽  
Critical Temperatures ◽  
Philosophical Magazine ◽  
Empirical Relations ◽  
Five Elements ◽  
Made In

In 1911 I published in the ‘Philosophical Magazine’ a paper on new determinations of some constants of the inert gases, and drew attention to the remarkable empirical relations which subsist between (1) the calculated numbers of “dispersion” electrons in the atoms of these five elements, (2) their “viscosity diameters” as determined by Prof. A. O. Rankine, and (3) their critical temperatures. Since that time the figures used have undergone revision. The accurate determination of the value of ε by Millikan has enabled us to give absolute, instead of relative, values to the apparent numbers of dispersion electrons ( q , see Table I). Chapman has recalculated the viscosity diameters, and Rankine has revised Chapman’s values, in the light of corrections to be made in his own values of Sutherland’s constants for argon, krypton and xenon. But these alterations have not affected the validity of the relations then published.

scholarly journals Variational formulation of pre-stressed solid–fluid mixture theory, with an application to wave phenomena

2008 ◽  
Vol 27 (4) ◽  
pp. 582-606 ◽  
Author(s):  
Luca Placidi ◽  
Francesco Dell'Isola ◽  
Nicoletta Ianiro ◽  
Giulio Sciarra
Keyword(s):  
Variational Formulation ◽  
Mixture Theory ◽  
Fluid Mixture ◽  
Wave Phenomena

Analytical treatment of the critical properties of a generalized van der Waals equation

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Magdy E Amin
Keyword(s):  
Van Der Waals ◽  
Critical Properties ◽  
Analytical Treatment ◽  
Real Gas ◽  
Cubic Equation ◽  
Isobaric Expansion ◽  
Isobaric Expansion Coefficient ◽  
General Relations ◽  
Two Parameters ◽  
Two Parameter

Abstract The two-parameter van der Waals (vdW) equation of state is generalized, by adding another two parameters to the attractive term. General relations between thermodynamic functions of the generalized vdW equation and the hard sphere gas are derived. The cubic equation of the generalized vdW is solved and the critical points (P c , V c , T c ) are obtained for general k. The critical properties of the vdW real gas such as the isothermal compressibility K T , the isobaric expansion coefficient α and the isobaric heat capacity C P are calculated exactly. The temperature dependence of K T , α and C P is investigated close to the critical point on the critical isobar path P r = 1(P = P c ). Numerical calculations for K T and C P are presented above and below P r .

Comparison of the values of the interaction parameter ξ from upper critical solution temperatures of acetone + alkanes with values obtained from gas-liquid critical temperatures

1977 ◽  
Vol 30 (4) ◽  
pp. 767 ◽  
Author(s):  
LS Toczylkin ◽  
CL Young
Keyword(s):  
Equation Of State ◽  
Interaction Parameter ◽  
Fluid Model ◽  
Van Der Waals ◽  
Critical Temperatures ◽  
Acetone Hexane ◽  
Critical Solution Temperatures

The upper critical solution temperatures, UCST , of acetone + alkane (n- C5H12 to n-C17H36) and acetone + hexane isomers have been measured. These results are used to calculate an interaction parameter ξ by using the van der Waals one-fluid model together with the Guggenheim equation of state. Values of ξ are compared with those obtained from the gas-liquid critical temperatures. The gas-liquid critical temperatures for the n- alkane + acetone systems were taken from the literature whereas those for the hexane isomers + acetone were measured in this work. The values of ξ calculated from gas-liquid critical temperatures are slightly greater than those calculated from the UCST as has been observed previously for other systems.

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