Collision efficiency of two nanoparticles with different diameters in Brownian coagulation
Tóm tắt
The collision efficiency of two nanoparticles with different diameters in the Brownian coagulation is investigated. The collision equations are solved to obtain the collision efficiency for the dioctyl phthalate nanoparticle with the diameter changing from 100 nm to 750 nm in the presence of the van der Waals force and the elastic deformation force. It is found that the collision efficiency decreases as a whole with the increase of both the particle diameter and the 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 is presented for the collision efficiency of two nanoparticles with different diameters.
Tài liệu tham khảo
Lin, J. Z., Chan, T. L., Liu, S., Zhou, K., Zhou, Y., and Lee, S. C. Effects of coherent structures on nanoparticle coagulation and dispersion in a round jet. International Journal of Nonlinear Sciences and Numerical Simulation, 8(1), 45–54 (2007)
Lin, P. F. and Lin, J. Z. Transport and deposition of nanoparticles in bend tube with circular cross-section. Progress in Natural Science, 19(1), 33–39 (2009)
Chan, T. L., Lin, J. Z., Zhou, K., and Chan, C. K. Simultaneous numerical simulation of nano and fine particle coagulation and dispersion in a round jet. Journal of Aerosol Science, 37(11), 1545–1561 (2006)
Yu, M. Z., Lin, J. Z., Chen, L. H., and Chan, T. L. Large eddy simulation of a planar jet flow with nanoparticle coagulation. Acta Mechanica Sinica, 22(4), 293–300 (2006)
Yu, M. Z., Lin, J. Z., and Chan, T. L. Numerical simulation of nanoparticle synthesis in diffusion flame reactor. Powder Technology, 181(1), 9–20 (2008)
Derjaguin, B. V. and Landau, L. Theory of the stability of strongly charged lyophobic sols and of the adhesion of strongly charged particles in solutions of electrolytes. Acta Physicochim (URSS), 14, 633–662 (1941)
Verwey, E. J.W. and Overbeek, J. T. H. G. Theory of the Stability of Lyophobic Colloids, Elsevier, New York (1948)
Spielman, L. A. Viscous interactions in Brownian coagulation. Journal of Colloid and Interface Science, 33, 562–571 (1970)
Hoing, E. P., Roebersen, G. J., and Wiersema, P. H. Effect of hydrodynamic interaction on the coagulation rate of hydrophobic colloids. Journal of Colloid and Interface Science, 36, 97–109 (1971)
Hocking, L. M. The effect of slip on the motion of a sphere close to a wall and of two adjacent spheres. Journal of Engineering Mathematics, 7(3), 207–221 (1973)
Russel, W. B., Saville, D. A., and Schowalter, W. R. Colloidal Dispersions, Cambridge University Press, Cambridge (1989)
Chun, J. and Koch, D. L. The effects of non-continuum hydrodynamics on the Brownian coagulation of aerosol particles. Journal of Aerosol Science, 37(4), 471–482 (2006)
Wang, Y. M., Lin, J. Z., and Feng, Y. The central oblique collision efficiency of spherical nanoparticles in the Brownian coagulation. Modern Physics Letters B, 24(14), 1523–1531 (2010)
Zhang, W. B., Qi, H. Y., You, C. F., and Xu, X. C. Mechanical analysis of agglomeration and fragmentation of particles during collisions (in Chinese). Journal of Tsinghua University (Science and Technology), 42(12), 1639–1643 (2002)
Israelachvili, J. Intermolecular and Surface Forces, Academic Press, New York (1992)
Devir, S. E. On the coagulation of aerosols (part 1). Journal of Colloid and Interface Science, 8, 744–756 (1963)
Devir, S. E. On the coagulation of aerosols III: effect of weak electric charges on rate. Journal of Colloid and Interface Science, 21, 80–89 (1967)