Plane Poiseuille-Couette problem in micro-electro-mechanical systems applications with gas-rarefaction effects

DOI10.1063/1.2335847zbMath1262.76087OpenAlexW2036155257MaRDI QIDQ4919682

Maria Lampi, Silvia Lorenzani, Carlo Cercignani

Publication date: 15 May 2013

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

Full work available at URL: https://doi.org/10.1063/1.2335847

Mathematics Subject Classification ID

Lubrication theory (76D08) Finite difference methods applied to problems in fluid mechanics (76M20) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (8)

Semi-analytical Methods of Solution for the BGK-Boltzmann Equation Describing Sound Wave Propagation in Binary Gas Mixtures ⋮ Analysis and accurate numerical solutions of the integral equation derived from the linearized BGKW equation for the steady Couette flow ⋮ Database for flows of binary gas mixtures through a plane microchannel ⋮ 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 ⋮ Accurate solution and approximations of the linearized BGK equation for steady Couette flow ⋮ The velocity slip problem: Accurate solutions of the BGK model integral equation ⋮ High accuracy numerical solutions of the Boltzmann Bhatnagar-Gross-Krook equation for steady and oscillatory Couette flows

Cites Work

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• Comparison of Kinetic Theory Analyses of Linearized Couette Flow
• Variational approach to gas flows in microchannels
• Direct simulation Monte Carlo for thin-film bearings
• Plane Poiseuille Flow with Symmetric and Nonsymmetric Gas‐Wall Interactions
• Flow of a Rarefied Gas past an Axisymmetric Body. I. General Remarks
• Model Dependence of the Temperature Slip Coefficient
• Model Dependence of the Slip Coefficient
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• Unified solutions to classical flow problems based on the BGK model

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