Rarefied flow in a channel and a periodic system of channels
type: Item
instance of: scholarly article
title: Rarefied flow in a channel and a periodic system of channels
zbMATH Open document ID: 0980.76080
DOI: 10.1007/BF02697759
author: E. M. Shakhov
published in: Fluid Dynamics
publication date: 2001-01-15T00:00:00Z
review text: The steady two-dimensional isothermal rarefied flow in a channel between two parallel flat plates of finite length is studied on the basis of numerical solution of a linearized kinetic problem. The channel may either be isolated or constitute a cell of a periodic cascade consisting of zero-thickness plates arranged one above the other. As the channel length increases, the flow in it approaches asymptotically the one-dimensional Poiseuille flow. The author shows that the asymptotic dependence of the gas flow rate on low Knudsen number corresponding to an infinitely long channel is already attained for a channel of length equal to several channel ends. The author investigates also the effect of boundary conditions imposed on the channel entrance.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 76M45
zbMATH DE Number: 1551535
zbMATH Keywords: asymptotic solution
zbMATH Keywords: steady two-dimensional isothermal rarefied flow
zbMATH Keywords: two parallel flat plates of finite length
zbMATH Keywords: linearized kinetic problem
zbMATH Keywords: periodic cascade
zbMATH Keywords: one-dimensional Poiseuille flow
zbMATH Keywords: gas flow rate
zbMATH Keywords: infinitely long channel
reviewed by: Agneta M. Balint
MaRDI profile type: Publication
cites work: Q4188958
cites work: Rarefied gas flow through long slots
cites work: The two-dimensional nonlinear problem of the motion of a rarefied gas between two parallel plates
cites work: Calculation of plane flows of a rarefied gas at low Knudsen numbers
cites work: Q5732396
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description: scientific article; zbMATH DE number 1551535