Pulsatile pipe flow of pseudoplastic fluids |
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Authors: | Irene Daprà Giambattista Scarpi |
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Institution: | (1) DISTART Idraulica, University of Bologna, via Risorgimento 2, 40136 Bologna, Italy |
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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. |
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Keywords: | Ostwald– de Waele fluid Pulsatile pipe flow Power law Fluid mechanics |
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