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Population-balance-based semi-empirical and machine learning modeling of electrostatic crude oil dewatering: Asymptotic reduction, identifiability, and robustness across scales

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Benchmarking Numerical Solvers for Population Balance Equations from the Perspective of Engineering Applications: Performance, Accuracy and Robustness

Balogh, L., Ulbert, Z., Egedy, A., & Bárkányi, Á. (2026) · Chemical Engineering Science · doi:10.1016/j.ces.2026.125490

Analytical solution of population balance equation involving aggregation and breakage in terms of auxiliary equation method

Pınar, Z., Dutta, A., Bény, G., & Öziş, T. (2014) · Pramana · doi:10.1007/s12043-014-0838-y · Cited by 18 · see citing works

Exact solutions of the population balance equation including particle transport, using group analysis

Lin, F., Meleshko, S. V., & Flood, A. E. (2017) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2017.11.022 · Cited by 15 · see citing works

Numerical and Similarity Solutions for Reversible Population Balance Equations with Size-Dependent Rates

Madras, G., & McCoy, B. J. (2002) · Journal of Colloid and Interface Science · doi:10.1006/jcis.2001.8073 · Cited by 43 · see citing works

An analytical solution to continuous population balance model describing floc coalescence and breakage — A special case

Patil, D. P., & Andrews, J. R. G. (1998) · Chemical Engineering Science · doi:10.1016/s0009-2509(97)00314-x · Cited by 68 · see citing works

An Improved Analytical Solution of Population Balance Equation Involving Aggregation and Breakage via Fibonacci and Lucas Approximation Method

Pınar, Z., Dutta, A., Kassemi, M., & Öziş, T. (2018) · International Journal of Chemical Reactor Engineering · doi:10.1515/ijcre-2018-0096 · Cited by 2 · see citing works