|
This article is cited in 12 scientific papers (total in 12 papers)
Generalized Boltzmann-type equations for aggregation in gases
S. Z. Adzhieva, V. V. Vedenyapinbc, Yu. A. Volkovbc, I. V. Melikhova a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
b RUDN University, Moscow, Russia
c Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
Abstract:
The coalescence and fragmentation of particles in a dispersion system are investigated by applying kinetic theory methods, namely, by generalizing the Boltzmann kinetic equation to coalescence and fragmentation processes. Dynamic equations for the particle concentrations in the system are derived using the kinetic equations of motion. For particle coalescence and fragmentation, equations for the particle momentum, coordinate, and mass distribution functions are obtained and the coalescence and fragmentation coefficients are calculated. The equilibrium mass and velocity distribution functions of the particles in the dispersion system are found in the approximation of an active terminal group (Becker–Döring-type equation). The transition to a continuum description is performed.
Key words:
aggregation, coalescence-fragmentation equations, Boltzmann equation, Becker–Döring equations, principle of detailed balance, conservation laws, Fokker–Planck-type equation.
Received: 31.05.2016 Revised: 12.03.2017
Citation:
S. Z. Adzhiev, V. V. Vedenyapin, Yu. A. Volkov, I. V. Melikhov, “Generalized Boltzmann-type equations for aggregation in gases”, Zh. Vychisl. Mat. Mat. Fiz., 57:12 (2017), 2065–2078; Comput. Math. Math. Phys., 57:12 (2017), 2017–2029
Linking options:
https://www.mathnet.ru/eng/zvmmf10654 https://www.mathnet.ru/eng/zvmmf/v57/i12/p2065
|
Statistics & downloads: |
Abstract page: | 261 | Full-text PDF : | 55 | References: | 37 | First page: | 8 |
|