Effect of random longitudinal vibrations on the Poiseuille flow of a complex liquid |
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| Authors: | E. Emilio Herrera F. Calderas A. E. Chávez O. Manero B. Mena |
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| Affiliation: | (1) Departamento de Ingeniería Química, Facultad de Química, Universidad Nacional Autónoma de México, Mexico DF, 04510, Mexico;(2) Departamento de Reología y Mecánica de Materiales, Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Mexico DF, 04510, Mexico;(3) Departamento de Mecánica y Energía, Instituto de Ingeniería, Universidad Nacional Autónoma de México, Mexico DF, 04510, Mexico |
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| Abstract: | In this work, the rectilinear Poiseuille flow of a complex liquid flowing in a vibrating pipe is analyzed. The pipe wall performs oscillations of small amplitude that can be adequately represented by a weakly stochastic process, for which a quasi-static perturbation solution scheme is suggested. The flow is analyzed using the Bautista–Manero–Puig constitutive equation, consisting on the upper-convected Maxwell equation coupled to a kinetic equation to account for the breakdown and reformation of the fluid structure. A drastic enhancement of the volumetric flow is predicted in the region where the fluid experiences pronounced shear-thinning. Finally, flow enhancement is predicted using experimental data reported elsewhere for wormlike micellar solutions of cetyl trimethyl ammonium tosilate. |
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| Keywords: | Vibrating pipe Poiseuille flow Wormlike micelles Viscoelastic properties Rheological modeling |
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