Mathematical modeling of the dynamics of inertial polydisperse particles in a vortex flow
The quadrature method of moments was used for solving the problem of modeling the dynamics of inertial polydisperse particles. Dispersed phase models that assumed particle distribution over size, mean velocity for all particles, and mean velocity conditioned by particle size were implemented. The co...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Kazan Federal University
2020-06-01
|
| Series: | Учёные записки Казанского университета. Серия Физико-математические науки |
| Subjects: | |
| Online Access: | https://kpfu.ru/uz-eng-phm-2020-2-2.html |
| _version_ | 1797963613645832192 |
|---|---|
| author | A.K. Gilfanov R.R. Salakhov T.S. Zaripov |
| author_facet | A.K. Gilfanov R.R. Salakhov T.S. Zaripov |
| author_sort | A.K. Gilfanov |
| collection | DOAJ |
| description | The quadrature method of moments was used for solving the problem of modeling the dynamics of inertial polydisperse particles. Dispersed phase models that assumed particle distribution over size, mean velocity for all particles, and mean velocity conditioned by particle size were implemented. The comparison of the models was performed in the problem of moving evaporating particles in the vortex flow with using the Lagrangian approach as a reference method. The qualitative agreement of particle number density fields obtained by the methods of moments and the Lagranigan approach was demonstrated. It was shown that using models with two and three conditioned mean velocities results in the qualitative agreement of the mean size and variance fields obtained by the methods of moments and the Lagranigan approach. |
| first_indexed | 2024-04-11T01:31:01Z |
| format | Article |
| id | doaj.art-fb1fa71cbe744c57a4554d32393592b1 |
| institution | Directory Open Access Journal |
| issn | 2541-7746 2500-2198 |
| language | English |
| last_indexed | 2024-04-11T01:31:01Z |
| publishDate | 2020-06-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета. Серия Физико-математические науки |
| spelling | doaj.art-fb1fa71cbe744c57a4554d32393592b12023-01-03T09:49:36ZengKazan Federal UniversityУчёные записки Казанского университета. Серия Физико-математические науки2541-77462500-21982020-06-01162212013610.26907/2541-7746.2020.2.120-136Mathematical modeling of the dynamics of inertial polydisperse particles in a vortex flowA.K. Gilfanov0R.R. Salakhov1T.S. Zaripov2Kazan Federal University, Kazan, 420008 RussiaKazan Federal University, Kazan, 420008 RussiaUniversity of Brighton, Brighton, BN2 4AT EnglandThe quadrature method of moments was used for solving the problem of modeling the dynamics of inertial polydisperse particles. Dispersed phase models that assumed particle distribution over size, mean velocity for all particles, and mean velocity conditioned by particle size were implemented. The comparison of the models was performed in the problem of moving evaporating particles in the vortex flow with using the Lagrangian approach as a reference method. The qualitative agreement of particle number density fields obtained by the methods of moments and the Lagranigan approach was demonstrated. It was shown that using models with two and three conditioned mean velocities results in the qualitative agreement of the mean size and variance fields obtained by the methods of moments and the Lagranigan approach.https://kpfu.ru/uz-eng-phm-2020-2-2.htmlmethod of momentspolydisperse aerosolvortex flowinertial particles |
| spellingShingle | A.K. Gilfanov R.R. Salakhov T.S. Zaripov Mathematical modeling of the dynamics of inertial polydisperse particles in a vortex flow Учёные записки Казанского университета. Серия Физико-математические науки method of moments polydisperse aerosol vortex flow inertial particles |
| title | Mathematical modeling of the dynamics of inertial polydisperse particles in a vortex flow |
| title_full | Mathematical modeling of the dynamics of inertial polydisperse particles in a vortex flow |
| title_fullStr | Mathematical modeling of the dynamics of inertial polydisperse particles in a vortex flow |
| title_full_unstemmed | Mathematical modeling of the dynamics of inertial polydisperse particles in a vortex flow |
| title_short | Mathematical modeling of the dynamics of inertial polydisperse particles in a vortex flow |
| title_sort | mathematical modeling of the dynamics of inertial polydisperse particles in a vortex flow |
| topic | method of moments polydisperse aerosol vortex flow inertial particles |
| url | https://kpfu.ru/uz-eng-phm-2020-2-2.html |
| work_keys_str_mv | AT akgilfanov mathematicalmodelingofthedynamicsofinertialpolydisperseparticlesinavortexflow AT rrsalakhov mathematicalmodelingofthedynamicsofinertialpolydisperseparticlesinavortexflow AT tszaripov mathematicalmodelingofthedynamicsofinertialpolydisperseparticlesinavortexflow |