Perturbation analysis of liquid flows in micro-channels driven by high pressures

Jian Li, Jinbai Zhang, Chun-Hian Lee

doi:10.6052/0459-1879-2009-3-2008-276

Volume 41 Issue 3

Turn off MathJax

Article Contents

Article Navigation > Chinese Journal of Theoretical and Applied Mechanics > 2009 > 41(3): 289-299

Jian Li, Jinbai Zhang, Chun-Hian Lee. Perturbation analysis of liquid flows in micro-channels driven by high pressures[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(3): 289-299. doi: 10.6052/0459-1879-2009-3-2008-276

Citation:

Jian Li, Jinbai Zhang, Chun-Hian Lee. Perturbation analysis of liquid flows in micro-channels driven by high pressures[J]. Chinese Journal of Theoretical and Applied Mechanics, 2009, 41(3): 289-299. doi: 10.6052/0459-1879-2009-3-2008-276

Citation:

PDF( 1719 KB)

Perturbation analysis of liquid flows in micro-channels driven by high pressures

doi: 10.6052/0459-1879-2009-3-2008-276

Jian Li, Jinbai Zhang, Chun-Hian Lee

National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083, ChinaNational Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083, ChinaNational Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

Received Date: 2008-04-28
Rev Recd Date: 2008-10-13
Publish Date: 2009-05-18

Abstract

Abstract

An asymptotic expansion of compressible N-S equations werededuced via parametric expansion, and liquid flow characteristics under highdriven pressures in long micro-channels with arbitrary cross sections wereanalyzed by solving the zeroth order equations. The contributions due tocross section, length of the wall-slip, and other related factors were takeninto account by solving the Green's function over the cross section. A setof zeroth order solutions for circular cylinders of constant cross sectionwere presented, and the influences of the compressibility and viscosity ofthe liquids, and the slip length on the flow characteristics inmicro-channels under high pressure were studies.
- asymptotic expansion,
- flow in microtubes,
- small parameter perturbation method,
- Green function,
- Hagen-Poiseuille theory