Exploring the Klinkenberg effect at different scales - INSU - Institut national des sciences de l'Univers Access content directly
Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2014

Exploring the Klinkenberg effect at different scales

Abstract

Simulations of microflows usually require sophisticated numerical tools. Nevertheless in the slip regime, the hydrodynamic equation with slip boundary condition may be sufficient to account for the so-called Klinkenberg effect. We propose to visit this effect using a basic network of microchannels in which the Knudsen number is multiplied by two or four by introducing successive derivations to the channel. We derived an equivalent hydraulic conductivity up to second order. Theoretical results are compared both with the results of the Navier-Stokes equations with slip condition and with those obtained using a Bhatnagar-Gross-Krook–Hermite model developed especially for flows with a large spectrum of Knudsen numbers (typically 10−4
Fichier principal
Vignette du fichier
PhysRevE.90.pdf (1.09 Mo) Télécharger le fichier
Origin : Publisher files allowed on an open archive
Loading...

Dates and versions

insu-01337221 , version 1 (27-06-2016)

Identifiers

Cite

Boujema Izrar, Jean-Louis Rouet. Exploring the Klinkenberg effect at different scales. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2014, 90 (5), 053015 (9 p.). ⟨10.1103/PhysRevE.90.053015⟩. ⟨insu-01337221⟩
71 View
136 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More