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An exact analytical solution to unsteady population balance equation with particles coagulation. / Makoveeva, Eugenya v.; Alexandrov, Dmitri.
In: Communications in Nonlinear Science and Numerical Simulation, Vol. 131, 107879, 01.04.2024.

Research output: Contribution to journal › Article › peer-review

Harvard

Makoveeva, EV & Alexandrov, D 2024, 'An exact analytical solution to unsteady population balance equation with particles coagulation', Communications in Nonlinear Science and Numerical Simulation, vol. 131, 107879. https://doi.org/10.1016/j.cnsns.2024.107879

APA

Makoveeva, E. V., & Alexandrov, D. (2024). An exact analytical solution to unsteady population balance equation with particles coagulation. Communications in Nonlinear Science and Numerical Simulation, 131, [107879]. https://doi.org/10.1016/j.cnsns.2024.107879

Vancouver

Makoveeva EV, Alexandrov D. An exact analytical solution to unsteady population balance equation with particles coagulation. Communications in Nonlinear Science and Numerical Simulation. 2024 Apr 1;131:107879. doi: 10.1016/j.cnsns.2024.107879

Author

Makoveeva, Eugenya v. ; Alexandrov, Dmitri. / An exact analytical solution to unsteady population balance equation with particles coagulation. In: Communications in Nonlinear Science and Numerical Simulation. 2024 ; Vol. 131.

BibTeX

@article{922fddf9706a45e2bb1fd413bdbfbf11,
title = "An exact analytical solution to unsteady population balance equation with particles coagulation",
abstract = "We consider the final step of a phase transition process in saturated solutions when particles coalescence (Ostwald ripening) and coagulation are possible to happen concurrently. A parametric solution to unsteady Smoluchowski integro-differential equation with constant coagulation kernel is found taking the diffusion mechanism of particles in the space of their volumes into account. The particle-size distribution is given by an exponentially decreasing bell-shaped function describing the experimental data at long times. The theory is extended to describe the cases of different coagulation mechanisms, hydrodynamic flows and external forces.",
author = "Makoveeva, {Eugenya v.} and Dmitri Alexandrov",
note = "This work was financially supported by the Russian Science Foundation (project no. 23-19-00337).",
year = "2024",
month = apr,
day = "1",
doi = "10.1016/j.cnsns.2024.107879",
language = "English",
volume = "131",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier BV",

}

RIS

TY - JOUR

T1 - An exact analytical solution to unsteady population balance equation with particles coagulation

AU - Makoveeva, Eugenya v.

AU - Alexandrov, Dmitri

N1 - This work was financially supported by the Russian Science Foundation (project no. 23-19-00337).

PY - 2024/4/1

Y1 - 2024/4/1

N2 - We consider the final step of a phase transition process in saturated solutions when particles coalescence (Ostwald ripening) and coagulation are possible to happen concurrently. A parametric solution to unsteady Smoluchowski integro-differential equation with constant coagulation kernel is found taking the diffusion mechanism of particles in the space of their volumes into account. The particle-size distribution is given by an exponentially decreasing bell-shaped function describing the experimental data at long times. The theory is extended to describe the cases of different coagulation mechanisms, hydrodynamic flows and external forces.

AB - We consider the final step of a phase transition process in saturated solutions when particles coalescence (Ostwald ripening) and coagulation are possible to happen concurrently. A parametric solution to unsteady Smoluchowski integro-differential equation with constant coagulation kernel is found taking the diffusion mechanism of particles in the space of their volumes into account. The particle-size distribution is given by an exponentially decreasing bell-shaped function describing the experimental data at long times. The theory is extended to describe the cases of different coagulation mechanisms, hydrodynamic flows and external forces.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85183451364

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001175644000001

U2 - 10.1016/j.cnsns.2024.107879

DO - 10.1016/j.cnsns.2024.107879

M3 - Article

VL - 131

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

M1 - 107879

ER -

ID: 52294058