Collision Efficiency of Two Nanoparticles With Different Diameters in the Brownian Coagulation
-
摘要: 对Brown凝并中两个不同直径纳米颗粒的碰撞系数进行了研究,通过求解碰撞方程,获得了在van der Waals力和弹性变形力作用下,直径为100 nm至750 nm的邻苯二甲酸二辛酯纳米颗粒的碰撞系数.发现碰撞系数总体上随着颗粒直径和2个颗粒半径比的增加而减小;当颗粒直径为550 nm时,碰撞系数有一个突然的增加.最后给出了具有不同直径2个纳米颗粒碰撞系数的新表达式.Abstract: Collision efficiency of two nanoparticles with different diameters in the Brownian coagulation was investigated.The collision equations were solved to obtain the collision efficiency for the dioctyl phthalate nanoparticle with diameter changing from 100nm to 750nm in the presence of van der Waals force and elastic deformation force.It is found that the collision efficiency decreases as a whole with the increase of both the particle diameter and radius ratio of two particles.There exists an abrupt increase in the collision efficiency when the particle diameter is equal to 550 nm.Finally a new expression for the collisio n efficiency of two nanoparticles with different diameters was presented.
-
Key words:
- nanoparticles /
- Brownian coagulation /
- collision efficiency /
- different diameter /
- van der Waals force /
- elastic force
-
[1] Lin J Z, Chan T L, Liu S, Zhou K, Zhou Y, Lee S C. Effects of coherent structures on nanoparticle coagulation and dispersion in a round jet[J]. International Journal of Nonlinear Sciences and Numerical Simulation, 2007, 8(1): 45-54. [2] Lin P F, Lin J Z. Transport and deposition of nanoparticles in bend tube with circular cross-section[J]. Progress in Natural Science, 2009, 19(1): 33-39. doi: 10.1016/j.pnsc.2008.05.028 [3] Chan T L, Lin J Z, Zhou K, Chan C K. Simultaneous numerical simulation of nano and fine particle coagulation and dispersion in a round jet[J]. Journal of Aerosol Science, 2006, 37(11): 1545-1561. doi: 10.1016/j.jaerosci.2006.03.004 [4] Yu M Z, Lin J Z, Chen L H, Chan T L. Large eddy simulation of a planar jet flow with nanoparticle coagulation[J]. Acta Mechanica Sinica, 2006, 22(4): 293-300. doi: 10.1007/s10409-006-0011-z [5] Yu M Z, Lin J Z, Chan T L. Numerical simulation of nanoparticle synthesis in diffusion flame reactor[J]. Powder Technology, 2008, 181(1): 9-20. doi: 10.1016/j.powtec.2007.03.037 [6] Derjaguin B V, Landau L. Theory of the stability of strongly charged lyophobic sols and of the adhesion of strongly charged particles in solutions of electrolytes[J]. Acta Physicochim (URSS),1941, 14: 633-662. [7] Verwey E J W, Overbeek J T H G. Theory of the Stability Lyophobic Colloids[M]. New York: Elsevier, 1948. [8] Spielman L A. Viscous interactions in Brownian coagulation[J]. Journal of Colloid and Interface Science,1970, 33: 562-571. doi: 10.1016/0021-9797(70)90008-1 [9] Hoing E P, Roebersen G J, Wiersema P H. Effect of hydrodynamic interaction on the coagulation rate of hydrophobic colloids[J].Journal of Colloid and Interface Science, 1971, 36:97-109. doi: 10.1016/0021-9797(71)90245-1 [10] Hocking L M. The Effect of slip on the motion of a sphere close to a wall and of two adjacent spheres[J]. Journal of Engineering Mathematics, 1973, 7(3): 207-221. doi: 10.1007/BF01535282 [11] Russel W B, Saville D A, Schowalter W R. Colloidal Dispersions[M]. Cambridge: Cambridge University Press, 1989. [12] Chun J, Koch D L. The effects of non-continuum hydrodynamics on the Brownian coagulation of aerosol particles[J]. Journal of Aerosol Science, 2006, 37(4): 471-482. doi: 10.1016/j.jaerosci.2005.05.002 [13] Wang Y M, Lin J Z, Feng Y. The central oblique collision efficiency of spherical nanoparticles in the Brownian coagulation[J]. Modern Physics Letters B, 2010, 24(14): 1523-1531. doi: 10.1142/S021798491002330X [14] 张文斌,祁海鹰,由长福,徐旭常. 碰撞诱发颗粒团聚及破碎的力学分析[J]. 清华大学学报,2002,42(12), 1639-1643.(ZHANG Wen-bin, QI Hai-ying, YOU Chang-fu, XU Xu-chang. Mechanical analysis of agglomeration and fragmentation of particles during collisions[J]. Journal of Tsinghua University (Science and Technology), 2002, 42(12): 1639-1643.(in Chinese)) [15] Israelachvili J.Intermolecular and Surface Forces[M] .New York: Academic, 1992. [16] Devir S E.On the coagulation of aerosols (part 1)[J]. Journal of Colloid and Interface Science, 1963, 8:744-756. [17] Devir S E. On the coagulation of aerosols—Ⅲ: effect of weak electric charges on rate[J]. Journal of Colloid and Interface Science, 1967, 21: 80-89.
点击查看大图
计量
- 文章访问数: 1215
- HTML全文浏览量: 82
- PDF下载量: 750
- 被引次数: 0