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Theoretical study of stability problems for transport in a deformable microfabricated channel

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1 Author(s)
Kwang-Hua Chu, A. ; Dept. of Phys., Northwest Normal Univ., Lanzhou, China

We investigate the stability problem related to the basic flows induced by peristaltic transport within the bounded deformable walls which are common in micro- and/or nanobiotechnological applications. The neutral stability boundary is obtained by solving the relevant Orr-Sommerfeld equation via a verified preconditioned complex-matrix solver. The critical Reynolds number (when the wall is deformable) is 2886.5 which is much less than the conventional rigid-wall case (∼5772, obtained by Orszag based on the spectral method).

Published in:
Nanobiotechnology, IEE Proceedings -  (Volume:150 ,  Issue: 1 )

Date of Publication: 18 June 2003

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