Abstract
An asymptotic theory within the framework of long wave approximation is proposed for the study of peristaltic transport in a flexible tube of arbitrary cross section. The nonlinear problem of the three-dimensional Navier–Stokes equations is reduced to a sequence of linear boundary-value problems of the two-dimensional Laplace and biharmonic operators. Explicit expressions for the velocity profiles are obtained in terms of the solutions of the boundary value problems. Results for a tube of elliptical cross section are given.
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