A 2D Electric Double Layer Model for Biological Nanochannels

2006 ◽  
Author(s):  
Fuzhi Lu ◽  
Daniel Y. Kwok
Keyword(s):  
Double Layer ◽  
Surface Potential ◽  
Electric Double Layer ◽  
Classical Model ◽  
Time Dependent ◽  
Layer Model ◽  
End Effects ◽  
Double Layer Model ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation

We developed a 2D electric double layer model for biological nanochannels based on the linearlized Poisson-Boltzmann equation with arbitrary surface potential. Time dependent adsorption kinetics was used in the model to examine the variation of electric double layer distribution and compare with that from the classical model. Based on the 2D model, EDL interaction for heavily patched arbitray surface potential was found to be much weaker in such biological nanochannels. Channel end effects are also found to be significant and not negligible.

Prediction of the hydraulic conductivity of clays using the electric double layer theory

1999 ◽  
Vol 36 (5) ◽  
pp. 783-792 ◽  
Author(s):  
Gopal Achari ◽  
R C Joshi ◽  
L R Bentley ◽  
S Chatterji
Keyword(s):  
Hydraulic Conductivity ◽  
Double Layer ◽  
Electric Double Layer ◽  
Layer Model ◽  
Clay Liners ◽  
Overburden Pressure ◽  
Clay Particles ◽  
Concentration Of Ions ◽  
Double Layer Model ◽  
Double Layer Theory

A model to predict the hydraulic conductivity of consolidated clay, simulating clay liners compacted wet of optimum, is presented. The concept that clays exist as clusters and the electrical double layer theory are used to predict the hydraulic conductivity of clays for permeants of known composition. The model relates the physical properties of clays, such as its surface area, with the overburden pressure and the concentration of ions in the permeant. The model can be used to predict the hydraulic conductivity of bentonitic clays with monovalent as well as divalent exchangeable cations. The model is valid within the range of applicability of the Gouy-Chapman electric double layer theory. The variation in the number of clay particles per cluster with the consolidation pressure and concentration of ions in the permeant has been discussed. The model has been calibrated and verified using published experimental data. However, the model in its present form is valid only for homoionic clays and permeants with the same valency. With an increase in concentration of ions in the permeant, the precision of the model has been found to decrease. Key words: clay, clusters, hydraulic conductivity, double layer, model, permeant, concentration.

Effects of Externally Applied Electric Field on the Electric Double Layer Formed in an Electrolyte Layer and its Contribution Towards Joule Heating

2011 ◽  
Author(s):  
Neeraj Sharma ◽  
Gerardo Diaz ◽  
Edbertho Leal-Quiros
Keyword(s):  
Electric Field ◽  
Double Layer ◽  
Joule Heating ◽  
Electric Potential ◽  
Applied Electric Field ◽  
Electric Double Layer ◽  
Potential Distribution ◽  
Electrolyte Layer ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation

Joule heating of liquid films in the presence of an externally applied electric field is influenced by the formation of the electric double layer. The thickness and charge distribution inside the electric double layer determine the extent of interaction of the charge in the electric double layer with the externally applied electric field and the Joule heating of the electrolyte layer. For this reason, the effects of externally applied electric field (both parallel and along the normal to the surface) on the electric double layer are being studied in the present paper. In the absence of the externally applied electric field, the distribution of the electric potential in the double layer is given by Poisson equation. Assuming Boltzmann distribution for the ionic concentration in the double layer, one arrives at Poisson-Boltzmann equation for the electric potential distribution. The externally applied electric field changes this electric potential distribution. Hence, the contribution of the externally applied electric field is studied by including it in the Poisson-Boltzmann equation.

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