A discrete population balance equation for binary breakage
Y Liao, R Oertel, S Kriebitzsch… - … Journal for Numerical …, 2018 - Wiley Online Library
The numerical solution of the population balance equation is frequently achieved by means
of discretization, ie, by the method of classes. An important concern of discrete formulations …
of discretization, ie, by the method of classes. An important concern of discrete formulations …
A new analytical technique for solving Lane-Emden type equations arising in astrophysics
Lane-Emden type equations are nonlinear differential equations which represent many
scientific phenomena in astrophysics and mathematical physics. In this study, a new analytic …
scientific phenomena in astrophysics and mathematical physics. In this study, a new analytic …
Monitoring of batch industrial crystallization with growth, nucleation, and agglomeration. Part 1: Modeling with method of characteristics
M Porru, L Özkan - Industrial & Engineering Chemistry Research, 2017 - ACS Publications
This paper develops a new simulation model for crystal size distribution dynamics in
industrial batch crystallization. The work is motivated by the necessity of accurate prediction …
industrial batch crystallization. The work is motivated by the necessity of accurate prediction …
A unified Monte Carlo approach for population balance simulation of particle coagulation and breakage
Y Chen, J Ding, X Xia, P Weng, F Qi - Chemical Engineering Science, 2023 - Elsevier
This paper proposes a unified Monte Carlo approach to model simultaneous particle
coagulation and breakage processes. Based on the reconstruction of stochastic weighted …
coagulation and breakage processes. Based on the reconstruction of stochastic weighted …
The quadratically cubic Burgers equation: an exactly solvable nonlinear model for shocks, pulses and periodic waves
OV Rudenko, CM Hedberg - Nonlinear Dynamics, 2016 - Springer
A modified equation of Burgers type with a quadratically cubic (QC) nonlinear term was
recently pointed out as a new exactly solvable model of mathematical physics. However, its …
recently pointed out as a new exactly solvable model of mathematical physics. However, its …
Studies on population balance equation involving aggregation and growth terms via symmetries
Z Pinar - International Journal of Nonlinear Sciences and …, 2021 - degruyter.com
The population balance equation (PBE) is one of the most popular integro-differential
equations modeled for several industrial processes. The solution to this equation is usually …
equations modeled for several industrial processes. The solution to this equation is usually …
[PDF][PDF] Probabilistic modelling of classical and quantum systems
S Rusconi - 2018 - researchgate.net
While probabilistic modelling has been widely used in the last decades, the quantitative
prediction in stochastic modelling of real physical problems remains a great challenge and …
prediction in stochastic modelling of real physical problems remains a great challenge and …
Modelling coagulation in industrial spray drying: an efficient one-dimensional population balance approach
J Wells - 2018 - stax.strath.ac.uk
This thesis examines the effects of coagulation on the droplet size distribution within the
hollow cone sprays used by industrial spray dryers. A simple model is presented that …
hollow cone sprays used by industrial spray dryers. A simple model is presented that …
Modeling the dynamic evolution of drop size density distribution of the oil-water emulsion in turbulent pipe flow
ASB Ismail - 2021 - ntnuopen.ntnu.no
The thesis presents a modelling approach to calculate and fit the evolution of the drop size
distributions of oil and water emulsions under turbulent flow in pipes. A simulation model is …
distributions of oil and water emulsions under turbulent flow in pipes. A simulation model is …
A new technique for solving singular IVPs of Emden-Fowler type
N Bildik, S Deniz - arXiv preprint arXiv:1604.05344, 2016 - arxiv.org
A new analytic approximate technique for addressing nonlinear problems, namely the
optimal perturbation iteration method, is introduced and implemented to singular initial value …
optimal perturbation iteration method, is introduced and implemented to singular initial value …