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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).
Date of Publication: 18 June 2003