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Population Balances: Theory and Applications to Particulate Systems in Engineering
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TLDR
The Framework of Population Balances as discussed by the authors is a generalization of Population Balance Equations (PBE) and the solution of population balance equations (SBE) for the same purpose.Abstract:
Foreword. Preface. Introduction. The Framework of Population Balances. Birth and Death Functions. The Solution of Population Balance Equations. Similarity Behavior of Population Balance Equations. Inverse Problems in Population Balances. The Statistical Foundation of Population Balances. Index.read more
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Quadrature method of moments for aggregation-breakage processes.
TL;DR: The quadrature method of moments (QMOM) has already been validated for crystal growth and aggregation; here the method is extended to include breakage and performance is tested for 10 different cases in which the competition between aggregation and breakage leads to asymptotic solutions.
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Quadrature method of moments for population‐balance equations
TL;DR: In this work the quadrature method of moments (QMOM) is tested for size-dependent growth and aggregation and is validated by comparison with both Monte Carlo simulations and analytical solutions using several functional forms for the aggregation kernel.
Journal ArticleDOI
Crystal Shape Engineering
Michael A. Lovette,Andrea R. Browning,Derek W. Griffin,Jacob P. Sizemore,Ryan C. Snyder,Michael F. Doherty +5 more
TL;DR: In this paper, the state-of-the-art in modeling crystallization processes over a range of length scales relevant to nucleation through process design is discussed, as well as opportunities for continued research and specific areas where significant advancements are needed.
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Scalable stirred-suspension bioreactor culture of human pluripotent stem cells.
TL;DR: This is the first account of hiPSC cultivation in a microcarrier stirred-suspension system and the impact of bioreactor's operating conditions on stem cell self-renewal and commitment should be considered.
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Modeling of Bubble Column Reactors: Progress and Limitations
TL;DR: In this article, the progress reported in the literature during the past decade regarding the use of averaged Eulerian multifluid models and computational fluid dynamics (CFD) to model vertical bubble-driven flows is reviewed.
References
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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 coagulation of hydrosols by brownian motion and laminar shear flow
David L. Swift,S.K Friedlander +1 more
TL;DR: In this paper, a reduced form of the particle size distribution function, designated as self-preserving, was found to satisfy Smoluchowski's equations of coagulation by Brownian motion and shear flow.
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Scaling solutions of Smoluchowski's coagulation equation
TL;DR: In this paper, the authors investigated the structure of scaling solutions of Smoluchowski's coagulation equation, of the formc k (t)∼s(t)−τ′ ϕ(k/s(T)), wherec k(t)) is the concentration of clusters of sizek at timet, s(t), is the average cluster size, andϕ(x) is a scaling function.
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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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Breakage functions for droplets in agitated liquid-liquid dispersions
TL;DR: In this paper, Narsimhan et al. presented a generalized dimensionless form accounting for dependence on physical properties of the system and power input through stirring, which is essential for predicting drop-size distributions in stirred liquid-liquid systems.
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