TY - JOUR
T1 - Calculation of particle deposition rate under unfavourable particle-surface interactions
AU - Song, Lianfa
AU - Elimelech, Menachem
PY - 1993
Y1 - 1993
N2 - When repulsive colloidal interactions are involved, calculating the rate of particle deposition becomes particularly difficult. To overcome the difficulty, a new (constant migration flux) boundary condition and a sophisticated numerical procedure are introduced. With these procedures, smooth solutions of the equation are obtained for the entire domain, including the region beyond the energy barrier adjacent to the collector surface. Numerical calculations demonstrate that the dependence of particle deposition rate on flow velocity is quite different from that reported previously. The difficulty of using the 'perfect-sink' boundary condition in numerical solutions and the inadequacy of previous numerical methods are discussed.
AB - When repulsive colloidal interactions are involved, calculating the rate of particle deposition becomes particularly difficult. To overcome the difficulty, a new (constant migration flux) boundary condition and a sophisticated numerical procedure are introduced. With these procedures, smooth solutions of the equation are obtained for the entire domain, including the region beyond the energy barrier adjacent to the collector surface. Numerical calculations demonstrate that the dependence of particle deposition rate on flow velocity is quite different from that reported previously. The difficulty of using the 'perfect-sink' boundary condition in numerical solutions and the inadequacy of previous numerical methods are discussed.
UR - http://www.scopus.com/inward/record.url?scp=0001306373&partnerID=8YFLogxK
U2 - 10.1039/FT9938903443
DO - 10.1039/FT9938903443
M3 - Article
AN - SCOPUS:0001306373
SN - 0956-5000
VL - 89
SP - 3443
EP - 3452
JO - Journal of the Chemical Society, Faraday Transactions
JF - Journal of the Chemical Society, Faraday Transactions
IS - 18
ER -