Europhys. Lett.
Volume 76, Number 5, December 2006
Page(s) 829 - 835
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 16 November 2006
Europhys. Lett., 76 (5), pp. 829-835 (2006)
DOI: 10.1209/epl/i2006-10372-5

Finite-difference lattice Boltzmann approach to pressure-driven microchannel flow with variable temperature

V. Sofonea

Center for Fundamental and Advanced Technical Research, Romanian Academy Bd. Mihai Viteazul 24, RO-300223 Timisoara, Romania

received 12 June 2006; accepted in final form 17 October 2006
published online 16 November 2006

Diffuse reflection boundary conditions are introduced in a two-dimensional thermal lattice Boltzmann model to allow for variable fluid density along the walls. The capability of this model to capture the main characteristics of pressure-driven flow in microchannels (temperature drop, rarefaction effects, velocity slip and the minimum of the flow rate as a function of the Knudsen number) is checked.

47.45.-n - Rarefied gas dynamics.
47.11.-j - Computational methods in fluid dynamics.
67.40.Hf - Hydrodynamics in specific geometries, flow in narrow channels.

© EDP Sciences 2006