Lattice Boltzmann approach to thermal transpiration.

Phys Rev E Stat Nonlin Soft Matter Phys

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

Published: November 2006

AI Article Synopsis

  • The study introduces diffuse reflection boundary conditions in a thermal lattice Boltzmann model for varying fluid density and temperature along walls.
  • The model effectively captures the thermal transpiration phenomenon in a box at specific Knudsen numbers.
  • Results show that thermal creep velocity correlates with the temperature gradient at the wall, with simulation accuracy varying between first or second order, based on the numerical method used.

Article Abstract

Diffuse reflection boundary conditions are introduced in a thermal lattice Boltzmann model to allow for variable fluid density and temperature along the walls. The capability of this model to capture the main characteristics of the thermal transpiration phenomenon in a box at nonvanishing Knudsen numbers is demonstrated. The thermal creep velocity is found to be proportional to the temperature gradient imposed at the wall, whereas the accuracy of the simulation results are found to be of first or second order, depending on the numerical scheme.

Download full-text PDF

Source
http://dx.doi.org/10.1103/PhysRevE.74.056705DOI Listing

Publication Analysis

Top Keywords

lattice boltzmann
8
thermal transpiration
8
boltzmann approach
4
thermal
4
approach thermal
4
transpiration diffuse
4
diffuse reflection
4
reflection boundary
4
boundary conditions
4
conditions introduced
4

Similar Publications

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!