Phys. Rev. Lett. 90, 124502 (2003) [4 pages]Discrete Boltzmann Equation for MicrofluidicsReceived 9 December 2002; published 27 March 2003 We propose a discrete Boltzmann model for microfluidics based on the Boltzmann equation with external forces using a single relaxation time collision model. Considering the electrostatic interactions in microfluidics systems, we introduce an equilibrium distribution function that differs from the Maxwell-Boltzmann distribution by an exponential factor to represent the action of an external force field. A statistical mechanical approach is applied to derive the equivalent external acceleration force exerting on the lattice particles based on a mean-field approximation, resulting from the electrostatic potential energy and intermolecular potential energy between fluid-fluid and fluid-substrate interactions. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.124502
DOI:
10.1103/PhysRevLett.90.124502
PACS:
47.11.+j, 82.20.Wt, 83.50.Ha, 85.85.+j
See AlsoReply: Li-Shi Luo, Comment on “Discrete Boltzmann Equation for Microfluidics”, Phys. Rev. Lett. 92, 139401 (2004). Reply: Baoming Li and Daniel Y. Kwok, Li and Kwok Reply:, Phys. Rev. Lett. 92, 139402 (2004). |
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.