Kinetic Theories for the Coagulation and Sedimentation of Particles

Self-similarity theory of stationary coagulation

“…Many of the coagulation kernels proposed for various processes have the property that they are homogeneous functions of their arguments, 3,4 i.e., that…”

“…Kernels for coagulation via Brownian motion, coagulation of spherical particles in a laminar shear or pure straining flow, coagulation due to advection by a turbulent flow, coagulation in a turbulent flow taking account of particle inertia, coagulation due to differential sedimentation, and kernels representing yet other physical mechanisms have been derived. 3,4 In the discrete case one explicitly recognizes the existence of a smallest particle mass ͑a ''monomer''͒. In the continuous case we allow arbitrarily small particles, although we shall find it useful to consider ͑2͒ with a smallest particle size cutoff.…”

Flocculation–Sedimentation Combined with Chemical Oxidation Process

“…Coagulation and sedimentation of particles are central to many environmental and industrial processes [1]. The behavior of suspensions of fine particles is very considerably influenced by whether the particles flocculate or not.…”

A Scaling Theory for Number-Flux Distributions Generated during Steady-State Coagulation and Settling and Application to Particles in Lake Zurich, Switzerland

“…1B). For η < 1, ζ is predicted to decay as a power law of η with exponent −(1 + λ − 2κ) (see [14] for µ − k > 0). A curve fit of this region of ζ yields a power-law exponent of −1.21.…”

“…The functional relationships between s(t) and ψ(θ), and λ and µ not only allow prediction of CSD shape for a particular coagulation mechanism, but also allow one to deduce information about microscale processes controlling cluster coagulation from the shape of the CSDs. For particles undergoing unsteady coagulation, the zeroth moment N 0 = i≥1 n i of the CSD, or the total number of clusters in suspension, decays as a power of time for λ < 1 (11,14):…”