Population balance modelling of polydispersed particles in reactive flows

S Rigopoulos - Progress in Energy and Combustion Science, 2010 - Elsevier
Polydispersed particles in reactive flows is a wide subject area encompassing a range of
dispersed flows with particles, droplets or bubbles that are created, transported and possibly …

On the solution of population balance equations by discretization—I. A fixed pivot technique

S Kumar, D Ramkrishna - Chemical Engineering Science, 1996 - Elsevier
A new framework for the discretization of continuous population balance equations (PBEs) is
presented in this work. It proposes that the discrete equations for aggregation or breakage …

Tailor‐made nanoparticles via gas‐phase synthesis

A Gutsch, H Mühlenweg, M Krämer - Small, 2005 - Wiley Online Library
Gas‐phase synthesis is a well‐known chemical manufacturing technique for an extensive
variety of nanoscale particles. Since the potential of ultrafine and, in particular, nanoscale …

On the solution of population balance equations by discretization—II. A moving pivot technique

S Kumar, D Ramkrishna - Chemical Engineering Science, 1996 - Elsevier
Discretized population balances of aggregating systems are known to consistently over-
predict number densities for the largest particles. This over-prediction has been attributed …

On the solution of population balance equations by discretization—III. Nucleation, growth and aggregation of particles

S Kumar, D Ramkrishna - Chemical Engineering Science, 1997 - Elsevier
A new discretization method for solving population balance equations for simultaneous
nucleation, growth and aggregation of particles is proposed. The method combines the best …

Constant-number Monte Carlo simulation of population balances

M Smith, T Matsoukas - Chemical Engineering Science, 1998 - Elsevier
A Monte Carlo method for the simulation of growth processes is presented, in which the
number of particles is kept constant, regardless of whether the actual process results in a net …

Approximate population balance equations for aggregation–breakage processes

M Vanni - Journal of colloid and interface science, 2000 - Elsevier
A number of approximate methods for modeling aggregation of particulate suspensions
have been extended to simulate breakup as well and have been tested by comparison with …

Improved accuracy and convergence of discretized population balance for aggregation: The cell average technique

J Kumar, M Peglow, G Warnecke, S Heinrich… - Chemical Engineering …, 2006 - Elsevier
A new discretization method for aggregation equations is developed. It is compared to the
fixed pivot technique proposed by Kumar and Ramkrishna (1996a. On the solution of …

Silver nanoparticle formation: predictions and verification of the aggregative growth model

DL Van Hyning, WG Klemperer, CF Zukoski - Langmuir, 2001 - ACS Publications
The mechanisms of growth of 5− 30 nm silver particles produced from the reduction of silver
perchlorate by sodium borohydride are explored. Evidence is provided that, within 5 s of …

Analysis of aerosol interactions with numerical techniques for solving coagulation, nucleation, condensation, dissolution, and reversible chemistry among multiple size …

MZ Jacobson - Journal of Geophysical Research: Atmospheres, 2002 - Wiley Online Library
This paper describes new and modified numerical techniques for solving the size‐and time‐
dependent aerosol processes of nucleation, coagulation, condensation, dissolution, and …