物理化学学报 >> 1988, Vol. 4 >> Issue (06): 641-644.doi: 10.3866/PKU.WHXB19880614

研究简报 上一篇    下一篇

分散体系中任意形状的胶粒模型与相互作用能——Ⅱ、不等同球颗粒

金军; 张曼霞; 王好平   

  1. 辽河石油勘探局; 抚顺石油学院
  • 收稿日期:1987-04-30 修回日期:1987-11-13 发布日期:1988-12-15

INTERACTION AND MODEL OF ANY SHAPE PARTICLES IN COLLOID DISPERSION SYSTEM Ⅱ. UNLIKE SPHERICAL PARTICLES

Jin Jun; Zhang Manxia;
Wang Haoping   

  1. Petroleum Exploration Bureau Liao He
    Fushun Petroleum Institute
  • Received:1987-04-30 Revised:1987-11-13 Published:1988-12-15

Abstract: We derived a simplified formula of electrostatic energy for the two unlike spheres at constant surface potential using the rotation method, recently developed to calculate electrostatic energy of any shape particles. Surface integral of the mean curvature M_0=4π·2a_1a_2/(a_1+a_2), interaction energy of the supporting planes
V=εκ/4·{(ψ_1+ψ_2)~2(1-thκρ/2) - (ψ_1-ψ_2)~2(cthκρ/2-1)},
which is derived by HHF, where ε =delectric constant, κ =Debye-Hckel parameter, ψ_1 and ψ_2 =surface potential, ρ =shortest distance between dissimilar plates. Substituting M_0 and V into V_(WJZ)=∫Vd(s-2πρ~2), We obain
V_(WJZ)=(επa_1a_2)/(a_1+a_2){(ψ_1+ψ_2)~2ln[1+exp(-κρ)]×[1-(κρ+α_1)/(2β_1) (1/(κa_1)+1/(κa_2)]+(ψ_1-ψ_2)~2ln[1-exp(-κρ)]·[1-(κρ+α_2)/(2β_2)×(1/(κa_1)+1/(κa_2)]}
Numerical values of V_(WJZ) are compared with those of OCHW and BM, it approaches results of OCHW, However, when a_1/a_2>10 error of the rotation method increases.