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 / I. Daprà ; G. Scarpi. - In: MECCANICA. - ISSN 0025-6455. - STAMPA. - 41:(2006), pp. 501-508.
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.