Simple Approximate Expressions for Electrical Double-Layer Interaction at Constant Moderate Potentials
β Scribed by Anh V. Nguyen; Geoffrey M. Evans; Graeme J. Jameson
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 59 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0021-9797
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β¦ Synopsis
Simple yet accurate expressions for the electrical double-layer interaction force and energy between the particles that hold for a wide range of surface potential is required in the modeling, simulation, and optimization of many processes employed in industry. In this paper, simple approximate expressions for the interaction are obtained based on the asymptotic results and the numerical solution to the Poisson-Boltzmann equation for identical parallel plates with constant surface potential up to 180/z i mV at 25 β’ C, and the Derjaguin approximation. Within the moderate surface potential range, the semianalytical expressions agree well with the exact numerical results and are convenient to use for the purpose of process modeling and simulation.
π SIMILAR VOLUMES
can be obtained if the interaction energy is expressed as a According to the suggestion of Sader et al., who replaced the series function of g Γ tanh(Y/4) instead of Y and derived the reduced surface potential Y Γ e c 0 /kT by the effective reduced interaction energy correct to g 4 . Later, Ohshima
An approximate expression for the potential energy of the double-layer interaction between two parallel similar plates with constant surface charge density is derived via a novel linearization method, in which the Poisson-Boltzmann is linearized with respect to the deviation of the electric potentia