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A design rule for constant depth microfluidic networks for power-law fluids

Zografos, Konstantinos and Barber, Robert W. and Emerson, David R. and Oliveira, Mónica S. N. (2015) A design rule for constant depth microfluidic networks for power-law fluids. Microfluidics and Nanofluidics, 19 (3). pp. 737-749. ISSN 1613-4982

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Abstract

A biomimetic design rule is proposed for generating bifurcating microfluidic channel networks of rectangular cross section for power-law and Newtonian fluids. The design is based on Murray’s law, which was originally derived using the principle of minimum work for Newtonian fluids to predict the optimum ratio between the diameters of the parent and daughter vessels in networks with circular cross section. The relationship is extended here to consider the flow of power-law fluids in planar geometries (i.e. geometries of rectangular cross section with constant depth) typical of lab-on-a-chip applications. The proposed design offers the ability to precisely control the shear-stress distributions and predict the flow resistance along the bifurcating network. Computational fluid dynamics simulations are performed using an in-house code to assess the validity of the proposed design and the limits of operation in terms of Reynolds number for Newtonian, shear-thinning and shear-thickening fluids under various flow conditions.

Item type: Article
ID code: 53478
Keywords: non-Newtonian fluids, power-law fluid, shear-thinning and shear thickening fluids, Murray's law, bifurcating networks, biomimetics, Mechanical engineering and machinery, Mechanical Engineering, Biomedical Engineering, Fluid Flow and Transfer Processes
Subjects: Technology > Mechanical engineering and machinery
Department: Faculty of Engineering > Mechanical and Aerospace Engineering
Technology and Innovation Centre > Advanced Engineering and Manufacturing
Depositing user: Pure Administrator
Date deposited: 25 Jun 2015 12:38
Last modified: 07 Mar 2019 19:32
URI: https://strathprints.strath.ac.uk/id/eprint/53478
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