On the modelling of isothermal gas flows at the microscale

DOI10.1017/S0022112008001158zbMath1151.76569OpenAlexW1974966394WikidataQ59766514 ScholiaQ59766514MaRDI QIDQ3524060

Duncan A. Lockerby, Jason M. Reese

Publication date: 8 September 2008

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112008001158

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Gas dynamics (general theory) (76N15)

Related Items (16)

Lattice Boltzmann models based on half-range Gauss-Hermite quadratures ⋮ A challenge in Navier–Stokes-based continuum modeling: Maxwell–Burnett slip law ⋮ Couette and Poiseuille microflows: Analytical solutions for regularized 13-moment equations ⋮ Beyond Navier-Stokes ⋮ Accuracy analysis of high-order lattice Boltzmann models for rarefied gas flows ⋮ A multi-level parallel solver for rarefied gas flows in porous media ⋮ Kramers' problem and the Knudsen minimum: a theoretical analysis using a linearized 26-moment approach ⋮ A comprehensive review on micro- and nano-scale gas flow effects: slip-jump phenomena, Knudsen paradox, thermally-driven flows, and Knudsen pumps ⋮ Fundamental solutions to moment equations for the simulation of microscale gas flows ⋮ Derivation of extended-OBurnett and super-OBurnett equations and their analytical solution to plane Poiseuille flow at non-zero Knudsen number ⋮ Calculation of Knudsen layers and jump conditions using the linearised G13 and R13 moment methods ⋮ A moment method for low speed microflows ⋮ Some considerations on thermal boundary condition of slip flow ⋮ A novel kinetic-based slip velocity boundary condition suitable for compressible gas flows in micro-/nanochannels ⋮ Velocity slip coefficients based on the hard-sphere Boltzmann equation ⋮ Accurate and efficient computation of the Boltzmann equation for Couette flow: influence of intermolecular potentials on Knudsen layer function and viscous slip coefficient

Cites Work

• Macroscopic transport equations for rarefied gas flows. Approximation methods in kinetic theory.
• New directions in fluid dynamics: non-equilibrium aerodynamic and microsystem flows
• The structure of shock waves as a test of Brenner's modifications to the Navier–Stokes equations
• Numerical analysis of the shear and thermal creep flows of a rarefied gas over a plane wall on the basis of the linearized Boltzmann equation for hard-sphere molecules
• Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules
• Regularization of Grad’s 13 moment equations: Derivation and linear analysis
• Flow of gaseous mixtures through rectangular microchannels driven by pressure, temperature, and concentration gradients
• The usefulness of higher-order constitutive relations for describing the Knudsen layer
• Couette flow of a binary gas mixture
• Acceleration Schemes of the Discrete Velocity Method: Gaseous Flows in Rectangular Microchannels
• Motion of a sphere in a rarefied gas
• The Distribution of Molecular Velocities and the Mean Motion in a Non-Uniform Gas
• On the kinetic theory of rarefied gases

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