Mathematical modeling rarefied gas flow in a rectangular channel with an inner cylindrical element

DOI10.17377/SEMI.2017.14.042zbMath1375.35550MaRDI QIDQ2403672

Vasily Nikolaevich Popov, Oksana Vladimirovna Germider

Publication date: 11 September 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

kinetic equationfree molecular regimemodel of diffuse reflection

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Cites Work

• Unnamed Item
• Rarefied Poiseuille flow in elliptical and rectangular tubes
• Gas flow through an elliptical tube over the whole range of the gas rarefaction
• Poiseuille flow of moderately rarefied gases in annular channels
• Mathematical modeling of heat transfer process in a rectangular channel in the problem of Poiseuille flow
• Analytical solution of the problem of heat transfer in rarefied gas between two coaxial cylinders
• Kinetic analysis of the isothermal flow in a long rectangular microchannel
• Nonisothermal gas flow in a long channel analyzed on the basis of the kinetic S-Model
• Algorithm 698: DCUHRE

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