Limitations of the Derjaguin Approximation and the Lorentz−Berthelot Mixing Rule

Langmuir ◽  
2010 ◽  
Vol 26 (7) ◽  
pp. 4555-4558 ◽  
Author(s):  
Jan Forsman ◽  
Clifford E. Woodward
Keyword(s):  
Mixing Rule ◽  
Derjaguin Approximation

scholarly journals An improved vdW-type component mixing-rule applied in CO 2 -crude system

2016 ◽  
Vol 43 (3) ◽  
pp. 484-489 ◽  
Author(s):  
Siyu YANG ◽  
Liming LIAN ◽  
Shi LI ◽  
Yongzhi YANG ◽  
Xinglong CHEN
Keyword(s):  
Mixing Rule

scholarly journals Representation of phase equilibria and densities for complex systems using a van der Waals volume translated equation of state with a UNIFAC mixing rule

2014 ◽  
Vol 34 (3) ◽  
pp. 26-30
Author(s):  
Osvaldo Chiavone-Filho ◽  
Luiz Roberto Terron ◽  
Edson Luiz Foletto
Keyword(s):  
Equation Of State ◽  
Complex Systems ◽  
Phase Equilibria ◽  
Van Der Waals ◽  
Mixing Rule ◽  
Van Der Waals Volume

Extension of LCVM-Type mixing rule to three-parameter equations of state for vapor-liquid equilibria of mixtures

2005 ◽  
Vol 6 (S1) ◽  
pp. 17-22
Author(s):  
Xiao-hong Han ◽  
Guang-ming Chen ◽  
Qin Wang ◽  
Xiao-long Cui
Keyword(s):  
Equations Of State ◽  
Mixing Rule ◽  
Vapor Liquid Equilibria ◽  
Vapor Liquid

scholarly journals Prediction of excess molar volumes of selected binary mixtures from refractive index data

2014 ◽  
Vol 79 (6) ◽  
pp. 707-718 ◽  
Author(s):  
Jelena Vuksanovic ◽  
Divna Bajic ◽  
Gorica Ivanis ◽  
Emila Zivkovic ◽  
Ivona Radovic ◽  
...  
Keyword(s):  
Refractive Index ◽  
Binary Mixtures ◽  
Excess Molar Volumes ◽  
Mixing Rules ◽  
Mixing Rule ◽  
Molar Volumes ◽  
Index Data ◽  
Peg 400 ◽  
Benzene Toluene ◽  
Refractive Index Data

The excess molar volumes of twenty two binary mixtures containing various groups of organic compounds: alcohols (ethanol, 1-propanol, 1,2-propanediol, 1,3-propanediol and glycerol), ketone (acetone), ester (butyl lactate), lactam (N-methyl-2-pyrrolidone), PEGs (PEG 200, PEG 400) and aromatics (benzene, toluene and pyridine) were predicted from the refractive index data, using three types of equations coupled with several mixing rules for refractive index calculations: the Lorentz-Lorenz, Dale-Gladstone, Eykman, Arago-Biot, Newton, and Oster. The obtained results were analysed in terms of the applied equation and mixing rule and the nature of interactions between the mixtures? components.

A modified Kurihara mixing rule and a comparison of density-independent mixing rules

1996 ◽  
Vol 61 (3) ◽  
pp. 213-225
Author(s):  
H.-Q. Pan ◽  
T.-M. Guo
Keyword(s):  
Mixing Rules ◽  
Mixing Rule

scholarly journals Sensitivity of aerosol radiative effects to different mixing assumptions in the AEROPT 1.0 submodel of the EMAC atmospheric-chemistry–climate model

2014 ◽  
Vol 7 (5) ◽  
pp. 2503-2516 ◽  
Author(s):  
K. Klingmüller ◽  
B. Steil ◽  
C. Brühl ◽  
H. Tost ◽  
J. Lelieveld
Keyword(s):  
Optical Properties ◽  
Radiative Transfer ◽  
Black Carbon ◽  
Atmospheric Chemistry ◽  
Radiative Forcing ◽  
Climate Model ◽  
Mixing Rule ◽  
Aerosol Optical Properties ◽  
Internal Mixing ◽  
Aerosol Radiative

Abstract. The modelling of aerosol radiative forcing is a major cause of uncertainty in the assessment of global and regional atmospheric energy budgets and climate change. One reason is the strong dependence of the aerosol optical properties on the mixing state of aerosol components, such as absorbing black carbon and, predominantly scattering sulfates. Using a new column version of the aerosol optical properties and radiative-transfer code of the ECHAM/MESSy atmospheric-chemistry–climate model (EMAC), we study the radiative transfer applying various mixing states. The aerosol optics code builds on the AEROPT (AERosol OPTical properties) submodel, which assumes homogeneous internal mixing utilising the volume average refractive index mixing rule. We have extended the submodel to additionally account for external mixing, partial external mixing and multilayered particles. Furthermore, we have implemented the volume average dielectric constant and Maxwell Garnett mixing rule. We performed regional case studies considering columns over China, India and Africa, corroborating much stronger absorption by internal than external mixtures. Well-mixed aerosol is a good approximation for particles with a black-carbon core, whereas particles with black carbon at the surface absorb significantly less. Based on a model simulation for the year 2005, we calculate that the global aerosol direct radiative forcing for homogeneous internal mixing differs from that for external mixing by about 0.5 W m−2.

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