Stability of slip flows in a peristaltic transport
Department of Physics, Northwest Normal University -
Gansu, Lanzhou 730070, PRC
Corresponding author: firstname.lastname@example.org
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