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| Title: Effect of variable slip boundary conditions on flows of pressure driven non-Newtonian fluids |
| Authors: |
| Author Full Names: Pereira, G. G. |
| Source: JOURNAL OF NON-NEWTONIAN FLUID MECHANICS 157 (3): 197-206 Sp. Iss. SI APR 2009 |
| Language: English |
| Document Type: Article |
| Author Keywords: Non-Newtonian fluid; Slip; Visco-elastic; Perturbation expansion |
| KeyWords Plus: SOLID INTERFACE; LIQUID FLOW; MICROFLUIDICS; MICROCHANNEL; SIMULATIONS; INSTABILITY; FRICTION; SURFACES; DEVICES; MODEL |
| Abstract: In microfluidic devices it has been suggested a scheme for enhancing the mixing of two fluids is to use patterned, slip boundary conditions. This has been shown to induce significant transverse flow for Newtonian fluids [S.C. Hendy, M. Jasperse, J. Burnell, Effect of patterned slip on micro- and nanofluidic flows, Phys. Rev. E 72 (2005) 016303]. Here we study the effect of patterned slip on non-Newtonian fluids. Using a power-law model it is shown for shear-thickening fluids patterned slip can induce significant transverse flows comparable in size to those produced for Newtonian fluids. However, for shear-thinning fluids this transverse flow is suppressed. We predict a convenient way to increase the transverse flow for shear-thinning fluids is to use a patterned slip boundary condition coupled to a sinusoidally time-varying pressure gradient. This system is studied using a simple linearized White-Metzner model which has a power-law viscosity function [R.B. Bird, R.C. Armstro! ng, O. Hassager, Dynamics of Polymeric Liquids, Volume 1: Fluid Mechanics, John Wiley & Sons, New York, 1987]. In this case it is shown the two variations combine to produce transverse flow, which can be increased by increasing the frequency of the sinusoidal time-dependent fluctuation. (C) 2008 Elsevier B.V. All rights reserved. |
| Reprint Address: Pereira, GG, Victoria Univ Wellington, Sch Chem & Phys Sci, MacDiarmid Inst, Wellington, New Zealand. |
| Research Institution addresses: Victoria Univ Wellington, Sch Chem & Phys Sci, MacDiarmid Inst, Wellington, New Zealand |
| E-mail Address: Gerald.Pereira@csiro.au |
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| Cited Reference Count: 44 |
| Times Cited: 0 |
| Publisher: ELSEVIER SCIENCE BV; PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS |
| Subject Category: Mechanics |
| ISSN: 0377-0257 |
| DOI: 10.1016/j.jnnfm.2008.11.012 |
| IDS Number: 419WL |
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