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In present study, the electrostatic interactions between two axisymmetric
spheroidal colloidal particles in 1:1 electrolyte solution are evaluated. Gale
rkin finite element method combined with Newton-Raphson iteration scheme is ch
osen to solve the Poisson-Boltzmann equation describing the electrical potenti
al distribution of the system under consideration. A matrices solver based on
the frontal method is adopted to accelerate the numerical procedure. The resul
ts obtained are used to estimate the electrical interaction force and energy b
etween two particles. The van der Walls interaction energy is evaluated by Gau
ss quadrature, and the variation of the total interaction energy is a function
of the closest approach between two particles. We can understand the behavior
of charged particles and stability of colloid suspension. In present study, w
e compare the dimensionless electrostatic interaction force of two spherical p
articles with four approximation methods: Debye-Huckel approximation, Deryagui
n approximation, modified HHF approximation, and linear superposition approxim
ation, and extend the calculations to the electrostatic interaction in mutual
coagulation and asymmetric electrolyte solution.
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