Plane Poiseuille Flow with Symmetric and Nonsymmetric Gas‐Wall Interactions
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Publication:5462788
DOI10.1081/TT-200053939zbMath1076.82041OpenAlexW2065850696MaRDI QIDQ5462788
Silvia Lorenzani, Maria Lampis, Carlo Cercignani
Publication date: 27 July 2005
Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/tt-200053939
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Statistical mechanics of gases (82D05)
Related Items (13)
The linearized Boltzmann equation with Cercignani-Lampis boundary conditions: basic flow problems in a plane channel ⋮ Rarefied gas flow over an in-line array of circular cylinders ⋮ Reciprocity relations in flows of a rarefied gas between plane parallel walls with nonuniform surface properties ⋮ Heat transfer through rarefied gases between coaxial cylindrical surfaces with arbitrary temperature difference ⋮ Poiseuille flow and thermal transpiration of a rarefied gas between parallel plates. II: Effect of nonuniform surface properties in the longitudinal direction ⋮ Plane Poiseuille flow and thermal transpiration of a highly rarefied gas between the two walls of Maxwell-type boundaries with different accommodation coefficients: effect of a weak external force ⋮ Variational approach to gas flows in microchannels ⋮ Plane Poiseuille-Couette problem in micro-electro-mechanical systems applications with gas-rarefaction effects ⋮ Variational derivation of second-order slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules ⋮ On The Reynolds Equation For Linearized Models Of The Boltzmann Operator ⋮ The velocity slip problem: Accurate solutions of the BGK model integral equation ⋮ Higher order slip according to the linearized Boltzmann equation with general boundary conditions ⋮ Surface effects in rarefied gas dynamics: an analysis based on the Cercignani--Lampis boundary condition
Cites Work
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- Application of the Cercignani-Lampis scattering kernel to calculations of rarefied gas flows. I: Plane flow between two parallel plates
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- A new model for the boundary conditions of the Boltzmann equation
- A new scattering kernel in kinetic theory of gases
- Steady solutions of the nonlinear Boltzmann equation
- Kinetic models for gas-surface interactions
- Plane Poiseuille Flow of a Rarefied Gas
- Unified solutions to classical flow problems based on the BGK model
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