Poiseuille's flow and thermal creep for different scattering kernels for a gas scattered by a channel surface

Markelov, Yu. I.; Porodnov, B. T.; Селезнев, В. Д.; Flyagin, A. G.

doi:10.1007/bf00906121

Cited by 6 publications

(5 citation statements)

References 4 publications

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“…Qp and QT do not depend on the energy accommodation coefficient a n . The same result was obtained in the works [8,9]. Note, that it is a peculiarity of the longitudinal rarefied gas flow.…”

Section: R N (C' N^cn ) = --Exp Nsupporting

confidence: 88%

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Application of the Cercignani–Lampis scattering kernel to calculations of rarefied gas flows. I. Plane flow between two parallel plates

Sharipov

2002

European Journal of Mechanics - B/Fluids

108

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The Poiseuille flow, the thermal creep and the heat flux between two parallel plates are calculated applying the S model of the Boltzmann equation and the Cercignani-Lampis scattering kernel. The calculations have been carried out in wide ranges of the rarefaction parameter and of the accommodation coefficients of momentum and energy. Comparing the present results with experimental data the value of the accommodation coefficients can be calculated.

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Section: R N (C' N^cn ) = --Exp Nsupporting

confidence: 88%

“…Because of the complexity the Cercignani-Lampis kernel (6) was not applied widely yet. In the papers [8,9] this model was used to calculate the Poiseuille flow and the thermal creep through a tube in the free-molecular regime. The authors of these works assumed the coefficients at and a n to be close to unity.…”

Section: Introductionmentioning

confidence: 99%

Application of the Cercignani–Lampis scattering kernel to calculations of rarefied gas flows. I. Plane flow between two parallel plates

Sharipov

2002

European Journal of Mechanics - B/Fluids

108

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“…͑i͒ Numerical calculations of the rarefied gas flows based on some gas-surface interaction law different from the diffuse-specular one would be very useful for further development of the gas-surface interaction models. To our knowledge there are only three works 2,108,109 analyzing the gas flows for different gas-surface interactions. Since these results were obtained under different conditions, it is very difficult to compare them and to indicate the reliable ones.…”

Section: Discussionmentioning

confidence: 99%

Data on Internal Rarefied Gas Flows

Sharipov

Селезнев²

1998

Journal of Physical and Chemical Reference Data

689

511

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The present review, containing 178 references, is dedicated to one of the largest and most important branches of the rarefied gas dynamics, namely internal flows. A critical analysis of the corresponding numerical data and analytical results available in the literature was made. The most reliable data were selected and tabulated. The review will be useful as a reference for mathematicians, physicists and aerodynamicists interested in rarefied gas flows. In this paper the complete ranges of the main parameters, determining rarefied gas flows through a capillary, are covered. The capillary length varies from zero, when the capillary degenerates into a thin orifice, to infinity when the end effects can be neglected. The Knudsen number, characterizing the gas rarefaction, varies from zero when the gas is considered as a continuous medium to infinity when the intermolecular collisions can be discounted. The pressure and temperature drops on the capillary ends vary from the small values when the linear theory is valid to the large values when the nonlinear equations must be applied. The influence of the gas-surface interaction is considered.

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“…Already in the 1980's, physical computations showed that, for some models, the Cercignani-Lampis boundary condition provides a more accurate description of the system in comparison with the pre-existing boundary conditions. A particularly interesting case is the computation of the Poiseuille flow and the thermal creep through a tube in the free-molecular regime, see Sharipov [40] and the references within, in particular [1,36]. The Cercignani-Lampis boundary condition also describes more accurately the behavior, observed experimentally, of a gas nitrogen flow, mainly because of the introduction of the tangential accommodation coefficient which is found slightly different from one, see Pantazis et al [39,Sections 3 and 4].…”

Section: Physical Motivationsmentioning

confidence: 99%

Convergence toward the steady state of a collisionless gas with Cercignani–Lampis boundary condition

Bernou

2021

Communications in Partial Differential Equations

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We study the asymptotic behavior of the kinetic free-transport equation enclosed in a regular domain, on which no symmetry assumption is made, with Cercignani-Lampis boundary condition. We give the first proof of existence of a steady state in the case where the temperature at the wall varies, and derive the optimal rate of convergence towards it, in the L 1 norm. The strategy is an application of a deterministic version of Harris' subgeometric theorem, in the spirit of [10] and [4]. We also investigate rigorously the velocity flow of a model mixing pure diffuse and Cercignani-Lampis boundary conditions with variable temperature, for which we derive an explicit form for the steady state, providing new insights on the role of the Cercignani-Lampis boundary condition in this problem. Acknowledgements:The author acknowledges financial support from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (Grant Agreement number 864066).

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Poiseuille's flow and thermal creep for different scattering kernels for a gas scattered by a channel surface

Cited by 6 publications

References 4 publications

Application of the Cercignani–Lampis scattering kernel to calculations of rarefied gas flows. I. Plane flow between two parallel plates

Application of the Cercignani–Lampis scattering kernel to calculations of rarefied gas flows. I. Plane flow between two parallel plates

Data on Internal Rarefied Gas Flows

Convergence toward the steady state of a collisionless gas with Cercignani–Lampis boundary condition

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