A new momentum equation for gas flow in porous media: the Klinkenberg effect seen through the kinetic theory

DOI10.1007/s10955-006-9110-2zbMath1112.82040OpenAlexW2094894995MaRDI QIDQ878354

L. Oxarango, Vincent Pavan

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1007/s10955-006-9110-2

zbMATH Keywords

porous mediakinetic theorygas flowKlinkenberg effectLevermore closure hierarchy

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (4)

Rarefied gas flow over an in-line array of circular cylinders ⋮ General entropic approximations for canonical systems described by kinetic equations ⋮ Implementation of parcel method for surface reactions in DSMC ⋮ Upscaled model for unsteady slip flow in porous media

Cites Work

• Non-homogeneous media and vibration theory
• A novel thermal model for the lattice Boltzmann method in incompressible limit
• Application of the Cercignani-Lampis scattering kernel to calculations of rarefied gas flows. II: Slip and jump coefficients.
• Moment closure hierarchies for kinetic theories.
• An analysis of second-order slip flow and temperature-jump boundary conditions for rarefied gases
• Second-order slip laws in microchannels for helium and nitrogen
• A MODEL FOR THE COMPRESSIBLE FLOW THROUGH A POROUS MEDIUM
• On the kinetic theory of rarefied gases
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