Stability of slip flows in a peristaltic transport
Abstract
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 OrrSommerfeld equation via a verified preconditioned complexmatrix solver. The critical Reynolds number for the case in which the Knudsen number (K_n) 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 rigidwall case (sim 5772 obtained by the spectral method).
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 November 2003
 DOI:
 10.1209/epl/i2003002202
 Bibcode:
 2003EL.....64..435C
 Keywords:

 Spectral methods;
 Vacuum microelectronic device characterization;
 design;
 and modeling;
 Surface waves in solids and liquids