Journal ArticleDOI
Self-preserving theory of particulate systems
TLDR
In this paper, similarity solutions are developed for a wide class of particulate processes that are governed by a general population balance equation for the inhomogeneous size distribution density function, termed self-preserving since neither particle size nor time appears explicitly in the solution.About:
This article is published in Chemical Engineering Science.The article was published on 1975-09-01. It has received 10 citations till now. The article focuses on the topics: Population balance equation & Similarity solution.read more
Citations
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Journal ArticleDOI
Agglomeration during precipitation: agglomeration mechanism identification for Al(OH)3 crystals in stirred caustic aluminate solutions
D. Ilievski,E.T. White +1 more
TL;DR: In this paper, the authors show that Al(OH)3 agglomeration may be described by a size-independent mechanism, which conflicts with the current view that there exists an upper limit, imposed by the hydrodynamics, to the aggregate size.
Journal ArticleDOI
Population balance models of autonomous microbial oscillations
Martin A. Hjortso,Jens Nielsen +1 more
TL;DR: It is found that autonomous microbial oscillations can be modeled by unstructured population balance models in which a key cell cycle parameter is a function of the environmental conditions, e.g., the concentration of a substrate or product.
Journal ArticleDOI
Nonlinear control of spatially inhomogenous aerosol processes
TL;DR: In this paper, a nonlinear feedback control methodology for spatially inhomogeneous aerosol processes for which the manipulated inputs, the control objectives and the measurements are distributed in space is presented.
Journal ArticleDOI
A very effective new method to solve the population balance equation with particle-size growth
TL;DR: In this article, the population balance equation (PBE) is solved using operator splitting, in which size growth, coalescence, breakage and other phenomena of particles (such as nucleation) can be included.
References
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Journal ArticleDOI
The self-preserving particle size distribution for coagulation by brownian motion
S.K Friedlander,Chiu-Sen Wang +1 more
TL;DR: In this paper, the authors reviewed the solutions to the kinetic equation of coagulation from the standpoint of their asymptotic behavior, and showed that the shape of the self-preserving spectrum is greatly influenced by the form of the collision frequency factor.
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The self-preserving particle size distribution for Brownian coagulation in the free-molecule regime
TL;DR: In this article, the authors explored the nature of certain special classes of solutions to the equation of coagulation for the case of Knudsen aerosols and showed that self-preserving solutions may exist.
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Self-preserving size spectra of comminuted particles
TL;DR: In this paper, three pertinent aspects associated with grinding of brittle solids, namely, grinding kinetics, particle-size distributions and energy-size reduction relationships have been unified in the framework of a phenomenological model of particle size reduction.
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Solutions to the equations for the kinetics of coagulation
TL;DR: In this paper, the relationship between the classical solution of Smoluchowski and the similarity solution to the kinetic equation is discussed and a simple exponential expression for the classical result is placed in the form of a similarity solution, which can be used to predict satisfactorily a substantial range of the size distribution which has a similar or a self-preserving form.
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Similarity solutions of population balances
B Pulvermacher,Eli Ruckenstein +1 more
TL;DR: In this article, a similarity solution may exist and can represent the exact solution of the population balance at long times if a certain criterion, established in this paper, is satisfied, for physical processes like coagulation of colloids, aging of supported metal catalysts, and granulation.