Authors & Affiliations

Bondarenko A.I., Savin M.M, Supotnitskaya O.V.
A.I. Leypunsky Institute for Physics and Power Engineering, Obninsk, Russia

Bondarenko A.I. – Researcher, A.I. Leypunsky Institute for Physics and Power Engineering.
Savin M.M. – Researcher, A.I. Leypunsky Institute for Physics and Power Engineering.
Supotnitskaya O.V. – Head of Laboratory, A.I. Leypunsky Institute for Physics and Power Engineering. Contacts: 1, pl. Bondarenko, Obninsk, Kaluga region, Russia, 249033. Tel.: +7(484) 399-58-42; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it..

Abstract

The article presented contains an analytical survey of problems emerged at construction and program realization of numerical algorithms of the Smoluchowski equation applied for a description of coagulation and coalescence processes in the disperse systems. It is indicated the reason of the problems can be assumptions about medium homogeneity, instantaneous mixing and interaction of particles being at arbitrary distant from each other. The other reason can concern a construction of a coagulation kernel for any specific case. A single-component disperse system is taken as an example to discuss capabilities for evasion of the problems emerged. A method of four-node function distribution of two-dimensional computational mesh is proposed for a two-component disperse system. Application of one-dimensional approximation for solving coagulation equation of a multicomponent disperse system is also discussed.

Keywords
disperse system, coagulation, the Smoluchowski equation, numerical method

Article Text (PDF, in Russian)

References

UDC 517.912

Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2017, issue 4, 4:9