| Issue |
Europhys. Lett.
Volume 64, Number 4, November 2003
|
|
|---|---|---|
| Page(s) | 435 - 440 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2003-00220-2 | |
| Published online | 01 November 2003 | |
Stability of slip flows in a peristaltic transport
Department of Physics, Northwest Normal University -
Gansu, Lanzhou 730070, PRC
Corresponding author: chukh01@nwnu.edu.cn
Received:
4
February
2003
Accepted:
8
September
2003
Instability problems related to the basic slip flows induced by
the peristaltic waves propagating along the deformable walls of
microchannels are investigated numerically by the spectral
method. Curves of the neutral stability boundary are obtained by
solving the relevant Orr-Sommerfeld equation via a verified
preconditioned complex-matrix solver. The critical Reynolds
number for the case in which the Knudsen number (Kn) is equal to 0.05 and
the ratio of the speed of the peristaltic wave to the maximum
velocity of the basic flow is 5 becomes 58 which is much
less than in the conventional rigid-wall case (
obtained by
the spectral method).
PACS: 02.70.Hm – Spectral methods / 85.45.Bz – Vacuum microelectronic device characterization, design, and modeling / 43.35.Pt – Surface waves in solids and liquids
© EDP Sciences, 2003
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