Exact numerical results for Poiseuille and thermal creep flow in a cylindrical tube

DOI10.1063/1.865725zbMath0592.76110OpenAlexW2004390256MaRDI QIDQ3722123

J. R. jun. Thomas, Dimitris Valougeorgis

Publication date: 1986

Published in: The Physics of Fluids (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10919/47621

zbMATH Keywords

singular integral equationscollocationBGK modelcomplete solutionpolynomial expansioncylindrical Poiseuille flowlinearized BGK modelFN-methodMaxwell's diffuse boundary conditionspurely diffuse reflection at the surfacesingle matrix inversionslip-flow problemsthermal creep problems

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Basic methods in fluid mechanics (76M99)

Related Items (11)

Rarefied gas flow rate in Poiseuille flow through a circular capillary ⋮ A concise solution for shear flow problems in cylindrical geometry ⋮ Physics-informed neural networks for rarefied-gas dynamics: Poiseuille flow in the BGK approximation ⋮ Discontinuous traveling waves for scalar hyperbolic-parabolic balance law ⋮ The friction factor of a rarefied gas flow in a circular tube ⋮ A comprehensive review on micro- and nano-scale gas flow effects: slip-jump phenomena, Knudsen paradox, thermally-driven flows, and Knudsen pumps ⋮ Hagen-Poiseuille flow solutions in Grad-type equations ⋮ Gas flow through an elliptical tube over the whole range of the gas rarefaction ⋮ Rarefied gas flow in concentric annular tube: Estimation of the Poiseuille number and the exact hydraulic diameter ⋮ Accurate solution and approximations of the linearized BGK equation for steady Couette flow ⋮ Poiseuille and thermal-creep flow in a cylindrical tube

Cites Work

• Flow of a Rarefied Gas past an Axisymmetric Body. I. General Remarks

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