scholarly journals Do ternary liquid mixtures exhibit negative main Fick diffusion coefficients?

2019 ◽  
Vol 21 (4) ◽  
pp. 2140-2152 ◽  
Author(s):  
S. Kozlova ◽  
A. Mialdun ◽  
I. Ryzhkov ◽  
T. Janzen ◽  
J. Vrabec ◽  
...  

Measured main Fick diffusion coefficients are throughout positive. However, they may appear to be negative after transformation to the molar reference frame, if the excess volume is significant and the experimental uncertainties of the cross diffusion coefficients are large.

Author(s):  
Yuji Nagasaka

In the casting process of highly functional films, the control of complex micro and nano structures inside the polymer films is one of the most critical factors. The control requires the cross diffusion coefficients in multicomponent solutions because it has a direct influence on the formation of fine structures inside polymer films during the casting process [1]. However, most studies on diffusion in polymer solutions concentrate on measuring diffusion coefficients in binary solutions and only a few measurement techniques of the cross diffusion coefficient can be found. We have developed a measurement technique for the mutual diffusion coefficient in binary solutions, namely Soret forced Rayleigh scattering method [2–4]. In the present paper, we have applied Soret forced Rayleigh scattering method to measure the binary mass diffusion coefficient for the clarification of the cross diffusion phenomena in multicomponent diffusion.


2019 ◽  
Vol 29 (03) ◽  
pp. 1950036 ◽  
Author(s):  
R. Sivasamy ◽  
M. Sivakumar ◽  
K. Balachandran ◽  
K. Sathiyanathan

This study focuses on the spatial-temporal dynamics of predator–prey model with cross-diffusion where the intake rate of prey is per capita predator according to ratio-dependent functional response and the prey is harvested through nonlinear harvesting strategy. The permanence analysis and local stability analysis of the proposed model without cross-diffusion are analyzed. We derive the conditions for the appearance of diffusion-driven instability and global stability of the considered model. Also the parameter space for Turing region is specified by keeping the cross-diffusion coefficient as one of the crucial parameters. Numerical simulations are given to justify the proposed theoretical results and to show that the cross-diffusion term plays a significant role in the pattern formation.


2002 ◽  
Vol 80 (5) ◽  
pp. 467-475 ◽  
Author(s):  
Amalendu Pal ◽  
Rakesh Kumar Bhardwaj

Excess molar volumes (VmE) and dynamic viscosities (η) have been measured as a function of composition for binary liquid mixtures of propylamine with 2,5-dioxahexane, 2,5,8-trioxanonane, 2,5,8,11-tetraoxadodecane, 3,6,9-trioxaundecane, and 5,8,11-trioxapentadecane at 298.15 K. The excess volumes are positive over the entire range of composition for the systems propylamine + 2,5-dioxahexane, and + 3,6,9-trioxaundecane, negative for the systems propylamine + 2,5,8,11-tetraoxadodecane, and + 5,8,11-trioxapentadecane, and change sign from positive to negative for the remaining system propylamine + 2,5,8-trioxanonane. From the experimental data, deviations in the viscosity (Δln η) and excess energies of activation for viscous flow (ΔG*E) have been derived. These values are positive for all mixtures with the exception of propylamine + 2,5-dioxahexane.Key words : excess volume, viscosity, binary mixtures.


2018 ◽  
Vol 57 (43) ◽  
pp. 14784-14794 ◽  
Author(s):  
Ludger Wolff ◽  
Seyed Hossein Jamali ◽  
Tim M. Becker ◽  
Othonas A. Moultos ◽  
Thijs J. H. Vlugt ◽  
...  

1987 ◽  
Vol 32 (1) ◽  
pp. 48-50 ◽  
Author(s):  
Mohammad Aslam Siddiqi ◽  
Werner Krahn ◽  
Klaus Lucas

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