Open AccessMathematical modelling of heat transfer between two non-coaxial cylinders under the effect a constant pressure gradient
Author(s) -
O. V. Germider,
В. Н. Попов
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1560/1/012011
Subject(s) - knudsen number , mechanics , coaxial , cylinder , isothermal process , heat flux , thermodynamics , duct (anatomy) , heat transfer , radius , pressure gradient , constant (computer programming) , materials science , physics , geometry , mathematics , mechanical engineering , medicine , computer security , pathology , computer science , engineering , programming language
The article deals with an isothermal flow of a rarefied gas in the channel, formed by two non-coaxial cylinders. An analytic solution of the Williams equation, describing this flow, has been constructed using the kinetic approach. For the boundary condition on the channel walls, the diffusion model is used. The distribution function for various values of the ratio of radii of cylinders and Knudsen number is constructed. The dependence of the flow on the diameter of the inner cylinder and its position in the duct is investigated. The value of the heat flux through the cross-section of the channel is calculated. The analysis of the obtained results during the transition to free molecular and hydrodynamic regimes is done.