scholarly journals A Modified Method to Calculate Critical Coagulation Concentration Based on DLVO Theory

2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
Zhijun Zhang ◽  
Liang Zhao ◽  
Yanan Li ◽  
Mo Chu
Keyword(s):  
Interaction Energy ◽  
Calculation Method ◽  
Critical Condition ◽  
Colloidal Particles ◽  
Interaction Force ◽  
Dlvo Theory ◽  
Critical Coagulation Concentration ◽  
Minimum Concentration ◽  
Modified Method ◽  
Maximum Value

The critical coagulation concentration (CCC) is defined as the minimum concentration of counterions to induce coagulation of colloidal particles. A modified calculation method was proposed to calculate CCC. Comparing the modified calculation method of CCC with the traditional calculation method, the critical condition of modified calculation method is stricter than traditional calculation method. The critical condition of modified calculation method is the maximum value of interaction force that is zero, and the critical condition of traditional calculation method is the maximum value of interaction energy that is zero. The calculation result of CCC based on interaction force is greater than the calculation value based on interaction energy. The CCC value of modified calculation method can ensure particles to coagulate definitely.

Optimal Solution for Hyper-Sphere Integral Classification Process of Big Data

2014 ◽  
Vol 687-691 ◽  
pp. 1462-1465
Author(s):  
Zhi Liang Zhang
Keyword(s):  
Big Data ◽  
Calculation Method ◽  
Optimal Solution ◽  
Constraint Condition ◽  
Target Problem ◽  
Maximum Value ◽  
Dual Programming ◽  
Optimal Classification ◽  
Classification Function ◽  
Optimal Calculation

This paper mainly discusses the optimal solution for hyper-sphere integral classification process of big data. The paper proposes an optimal calculation method for the target problem. Through statistics and analysis of big data, we get the constraint condition, and calculate a maximum value of data characteristic. Then, by the dual programming of Quadratic Programming, we obtain the optimal classification function for hyper-sphere integral classification process of big data. The experiment results show that the proposed algorithm can significantly improve the accuracy of the classification hyper-sphere integral for big data.

Measurement of the capillary interaction force between Janus colloidal particles trapped at a flat air/water interface

Soft Matter ◽  
2020 ◽  
Vol 16 (25) ◽  
pp. 5910-5914
Author(s):  
Virginia Carrasco-Fadanelli ◽  
Rolando Castillo
Keyword(s):  
Colloidal Particles ◽  
Power Laws ◽  
Interaction Force ◽  
Janus Particles ◽  
Water Interface ◽  
Air Water Interface

The capillary interaction force between spherical Janus particles trapped at the air–water interface is a sum of power laws.

Numerical Study on Electrokinetic Interaction Between a Pair of Cylindrical Colloidal Particles

2009 ◽  
Author(s):  
Dolfred Vijay Fernandes ◽  
Sangmo Kang ◽  
Yong Kweon Suh
Keyword(s):  
Flow Field ◽  
Electric Field ◽  
Colloidal Particles ◽  
Stokes Equations ◽  
Separation Efficiency ◽  
Numerical Study ◽  
Interaction Force ◽  
Surface Element ◽  
Immersed Boundary ◽  
Interaction Forces

Electrophoresis is the motion of dispersed particles relative to a fluid under the influence of an electric field. Presently this phenomenon of electrokinetics is widely used in biotechnology for the separation of proteins, sequencing of polypeptide chains etc. The separation efficiency of these biomolecules is affected by their aggregation. Thus it is important to study the interaction forces between the molecules. In this study we calculate the electrophoretic motion of a pair of colloidal particles under axial electric field. The hydrodynamic and electric double layer (EDL) interaction forces are calculated numerically. The EDL interaction force is calculated from electric field distribution around the particle using Maxwell stress tensor and the hydrodynamic force is calculated from the flow field obtained from the solution of Stokes equations. The continuous forcing approach of immersed boundary method is used to obtain flow field around the moving particles. The EDL distribution around the particles is obtained by solving Poisson-Nernst-Planck (PNP) equations on a hybrid grid system. The EDL interaction force calculated from numerical solution is compared with the one obtained from surface element integration (SEI) method.

scholarly journals A Simple Method to Determine Critical Coagulation Concentration from Electrophoretic Mobility

2020 ◽  
Vol 4 (2) ◽  
pp. 20 ◽  
Author(s):  
Marco Galli ◽  
Szilárd Sáringer ◽  
István Szilágyi ◽  
Gregor Trefalt
Keyword(s):  
Electrophoretic Mobility ◽  
Dlvo Theory ◽  
Computational Method ◽  
Particle Aggregation ◽  
Critical Coagulation Concentration ◽  
Simple Method ◽  
Interparticle Forces ◽  
Mobility Data ◽  
Key Parameter ◽  
Multivalent Electrolytes

Critical coagulation concentration (CCC) is a key parameter of particle dispersions, since it provides the threshold limit of electrolyte concentrations, above which the dispersions are destabilized due to rapid particle aggregation. A computational method is proposed to predict CCC values using solely electrophoretic mobility data without the need to measure aggregation rates of the particles. The model relies on the DLVO theory; contributions from repulsive double-layer forces and attractive van der Waals forces are included. Comparison between the calculated and previously reported experimental CCC data for the same particles shows that the method performs well in the presence of mono and multivalent electrolytes provided DLVO interparticle forces are dominant. The method is validated for particles of various compositions, shapes, and sizes.

A Method for Prediction of Water Permeability through Polymers

2014 ◽  
Vol 1033-1034 ◽  
pp. 939-947 ◽  
Author(s):  
Andrey Askadskii ◽  
Egor Afans’ev ◽  
Tatyana Matseevich ◽  
Marina Popova ◽  
Valerii Kondrashchenko ◽  
...  
Keyword(s):  
Free Energy ◽  
Interaction Energy ◽  
Free Volume ◽  
Water Permeability ◽  
Calculation Method ◽  
Chemical Structure ◽  
Polymeric Nanocomposites ◽  
Activation Free Energy ◽  
Water Interaction

A calculation method for prediction of water permeability through polymers is suggested. An appropriate equation for calculating the activation free energy of permeability is proposed. The method is based on a set of atomic constants associated with the polymer-water interaction energy. The chemical structure of polymers as well as the degree of crystallininty, temperature, and free volume are taken into account. The method is also applicable for polymeric nanocomposites.

scholarly journals An Interaction Force Calculation Method for Virtual Environment

1997 ◽  
Vol 33 (10) ◽  
pp. 1026-1034
Author(s):  
Tetsuo KOTOKU ◽  
Kouichi TAKAMUNE ◽  
Kiyoshi KOMORIYA ◽  
Kazuo TANIE
Keyword(s):  
Virtual Environment ◽  
Calculation Method ◽  
Interaction Force ◽  
Force Calculation

Description of colloidal particles aggregation in the presence of Hofmeister effects: on the relationship between ion adsorption energy and particle aggregation activation energy

2018 ◽  
Vol 20 (35) ◽  
pp. 22831-22840 ◽  
Author(s):  
Yaxue Luo ◽  
Hang Li ◽  
Xiaodan Gao ◽  
Rui Tian
Keyword(s):  
Activation Energy ◽  
Adsorption Energy ◽  
Colloidal Particles ◽  
Dlvo Theory ◽  
Particle Aggregation ◽  
Ion Adsorption ◽  
The Relationship

Upon extending the DLVO theory by taking into account the Hofmeister effects, the predicted CCC values match well with experimental CCCs.

The Calculating Method of Deposition Thickness of Viscous Debris Flow

2012 ◽  
Vol 524-527 ◽  
pp. 808-812
Author(s):  
Yong You ◽  
Xue Ping Lin ◽  
Jin Feng Liu
Keyword(s):  
Debris Flow ◽  
Calculation Method ◽  
Flow Cell ◽  
Force Analysis ◽  
Slope Gradient ◽  
Calculating Method ◽  
Maximum Value ◽  
Viscous Debris Flow ◽  
Deposition Thickness ◽  
Theoretical Mechanics

The deposition thickness is one of the most important parameters of debris flow. How to define the deposition shape along the viscous debris flow gully and how to calculate deposition thickness rationally were rarely studied in previous researches. This paper discussed the calculation method of deposition thickness of viscous debris flow based on theoretical deduction. Firstly, force analysis was carried out for a debris flow cell selected from the deposition. Then, the formula for calculating the deposition thickness of viscous debris flow was constructed based on deduction from the viewpoint of theoretical mechanics. At last, the deposition thickness under different slope gradients, yield stresses and densities was calculated based on the deduced formula. The results showed that the deposition thickness decreases with the increasing of the slope gradient and density, and increases with the increasing of the yield stress before the deposition thickness reaches to the maximum value.

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