KINETIC APPROACH OF PLASMA PROCESSES MODELING FOR SYNTHESIS OF CARBON NANOSTRUCTURES

Abstract

Subject of Research. We consider а new mathematical modeling method for synthesis processes of carbon nanostructures in plasma. The method is characterized by the use of the Boltzmann kinetic equation and particle distribution functions taking into account the paired elastic and inelastic collisions. The widespread use of nanotubes, fullerenes in modern industry is limited by the high cost and low productivity of synthesis methods due to insufficient theoretical study of their formation processes. The aim of the work is to build a model of the processes for obtaining various carbon nanostructures in arc discharge plasma and the development of effective numerical methods for calculating the conditions improving the synthesis efficiency. Method. The paper presents a method of numerical solution of the considered multidimensional nonlinear problem with the use of nVidia CUDA technology in combination with the parallelization technology on the central and graphic processors. The method gives the possibility to obtain cost-effective solution by applying limited computing resources on a personal computer. Main Results. The developed model makes it possible to describe adequately the processes of formation and growth of cluster groups, which are the basis for the formation of carbon nanostructures in arc discharge plasma, and also to take into account the effect of synthesis conditions on the final product output. Practical Relevance. The developed mathematical model and its elements can be used in the design of plants for the synthesis of carbon nanostructures by thermal evaporation of graphite.

Keywords

• carbon nanostructures
• mathematical model
• electric arc synthesis
• plasma
• Boltzmann equation
• major particle method