Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/112421
Citations
Scopus Web of Science® Altmetric
?
?
Type: Journal article
Title: Fluid flow in a spiral microfluidic duct
Author: Harding, B.
Stokes, Y.
Citation: Physics of Fluids, 2018; 30(4):042007-1-042007-19
Publisher: American Institute of Physics
Issue Date: 2018
ISSN: 1070-6631
1089-7666
Statement of
Responsibility: 
Brendan Harding and Yvonne Stokes
Abstract: We consider the steady, pressure driven flow of a viscous fluid through a microfluidic device having the geometry of a planar spiral duct with a slowly varying curvature and height smaller than width. For this problem, it is convenient to express the Navier–Stokes equations in terms of a non-orthogonal coordinate system. Then, after applying appropriate scalings, the leading order equations admit a relatively simple solution in the central region of the duct cross section. First-order corrections with respect to the duct curvature and aspect ratio parameters are also obtained for this region. Additional correction terms are needed to ensure that no slip and no penetration conditions are satisfied on the side walls. Our solutions allow for a top wall shape that varies with respect to the radial coordinate which allows us to study the flow in a variety of cross-sectional shapes, including trapezoidal-shaped ducts that have been studied experimentally. At leading order, the flow is found to depend on the local height and slope of the top wall within the central region. The solutions are compared with numerical approximations of a classical Dean flow and are found to be in good agreement for a small duct aspect ratio and a slowly varying and small curvature. We conclude that the slowly varying curvature typical of spiral microfluidic devices has a negligible impact on the flow in the sense that locally the flow does not differ significantly from the classical Dean flow through a duct having the same curvature.
Description: Published online 30 April 2018
Rights: Copyright the authors. Published by AIP Publishing.
DOI: 10.1063/1.5026334
Grant ID: http://purl.org/au-research/grants/arc/DP160102021
Appears in Collections:Aurora harvest 3
Mathematical Sciences publications

Files in This Item:
File Description SizeFormat 
hdl_112421.pdfPublished version723.12 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.