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

被引:12
作者
Zografos, Konstantinos [1 ]
Barber, Robert W. [2 ]
Emerson, David R. [2 ]
Oliveira, Monica S. N. [1 ]
机构
[1] Univ Strathclyde, Dept Mech & Aerosp Engn, James Weir Fluids Lab, Glasgow G1 1XJ, Lanark, Scotland
[2] STFC Daresbury Lab, Ctr Microfluid & Microsyst Modelling, Warrington WA4 4AD, Cheshire, England
基金
英国工程与自然科学研究理事会;
关键词
Non-Newtonian fluids; Power-law fluids; Shear-thinning and shear-thickening behaviour; Murray's law; Bifurcating networks; Biomimetics; BLOOD-PLASMA SEPARATION; MURRAYS LAW; FLOW; GENERATION; DEVICE; GRADIENTS; MICROCHANNEL; SIMULATION; PRINCIPLE; TRANSPORT;
D O I
10.1007/s10404-015-1598-9
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
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.
引用
收藏
页码:737 / 749
页数:13
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