Mathematical modelling of the mass transfer process between two coaxial cylinders in the problem of thermal creep

11th International Conference on "Mesh methods for boundary-value problems and applications"

Germider, O.V.^1 ; Popov, V.N.^1

Northern (Arctic) Federal University Named after M.V. Lomonosov, Severnaya Dvina emb. 17, Arhangelsk

163002, Russia^1

关键词: Analytic solution;    Coaxial cylinders;    Diffusion model;    Hydrodynamic regime;    Kinetic approach;    Knudsen numbers;    Mass transfer process;    Thermal creep flow;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012038/pdf
DOI  :  10.1088/1757-899X/158/1/012038

来源: IOP

【 摘 要 】

An analytic solution to the Williams equation in the thermal creep flow problem in the channel, formed by two coaxial cylinders, has been constructed using the kinetic approach. For the boundary condition on the channel walls, the diffusion model is used. Taking into account the constructed distribution function for various values of the ratio of radii of cylinders and Knudsen number, the value of the mass flow rate in channel is calculated. The analysis of the obtained results during the transition to free molecular and hydrodynamic regimes is done.