This note is concerned with a laminar pipe flow of a non Newtonian fluid under the action of a small pulsating pressure gradient superposed to a steady one. The constitutive law describing the rheological behaviour of the fluid is the so-called power law (Ostwald-de Waele). An approximated analytical solution is found for the velocity, as power series of the amplitude of the periodic disturbance. The analytic solution is compared with a direct numerical solution and the perfect accord of the values obtained is underscored.

Pulsatile pipe flow of pseudoplastic fluids

DAPRA', IRENE;SCARPI, GIANBATTISTA
2006

Abstract

This note is concerned with a laminar pipe flow of a non Newtonian fluid under the action of a small pulsating pressure gradient superposed to a steady one. The constitutive law describing the rheological behaviour of the fluid is the so-called power law (Ostwald-de Waele). An approximated analytical solution is found for the velocity, as power series of the amplitude of the periodic disturbance. The analytic solution is compared with a direct numerical solution and the perfect accord of the values obtained is underscored.
2006
I. Daprà ; G. Scarpi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/35858
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