Peristaltic flow of a second-order fluid in tubes

doi:10.1016/0377-0257(94)85052-6

Journal of Non-Newtonian Fluid Mechanics

Volume 53, July 1994, Pages 257-284

https://doi.org/10.1016/0377-0257(94)85052-6 Get rights and content

Abstract

We have analyzed the mechanics of peristaltic pumping of a non-Newtonian fluid through an axisymmetric conduit. The material was represented by the constitutive equation for a second-order fluid. A perturbation series (to second order) in dimensionless wavenumber of an infinite harmonic traveling wave was used to obtain explicit forms for the velocity field and a relation between the flow rate and the pressure gradient, in terms of the Reynolds number, the dimensionless non-Newtonian parameters, and the occlusion. Results were compared with other studies, in both Newtonian and non-Newtonian cases. Also, we have shown that the flow of a Newtonian fluid through a rigid, axisymmetric tube with an axial, sinusoidal variation of radius is a special case of this analysis.

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Peristaltic flow of a second-order fluid in tubes

Abstract

J. Biomech.

Int. J. Eng. Sci.

J. Non-Newtonian Fluid Mech.

Peristaltic pumping with long wavelengths at low Reynolds number

J. Fluid Mech.

Peristaltic waves in circular cylindrical tubes. Trans. ASME E

J. Appl. Mech.

Peristaltic transport in circular cylindrical tubes

J. Biomech.

Peristaltic pumping in circular cylindrical tubes: a numerical study of fluid transport and its efficiency

J. Fluid Meeh.

Peristaltic pumping

Annu. Rev. Fluid Mech.

Foundations of linear viscoelasticity

Rev. Mod. Phys.