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Full Record Details
Persistent URL
http://purl.org/net/epubs/work/36581
Record Status
Checked
Record Id
36581
Title
Biomimetic design of microfluidic manifolds based on a generalised Murray's law
Contributors
DR Emerson (CCLRC Daresbury Lab.)
,
K Cieslicki (Warsaw Univ. Tech.)
,
XJ Gu (CCLRC Daresbury Lab.)
,
RW Barber (CCLRC Daresbury Lab.)
Abstract
The relationship governing the optimum ratio between the diameters of the parent and daughter branches in vascular systems was first discovered by Murray using the principle of minimum work. This relationship is now known as Murray's law and states that the cube of the diameter of the parent vessel must equal the sum of the cubes of the daughter vessels. For symmetric bifurcations, an important consequence of this geometric rule is that the tangential shear stress at the wall remains constant throughout the vascular network. In the present paper, we extend this important hydrodynamic concept to arbitrary cross-sections and provide a framework for constructing a simple but elegant biomimetic design rule for hierarchical microfluidic networks. The paper focuses specifically on constant-depth rectangular and trapezoidal channels oftenemployed in lab-on-a-chip systems. To validate our biomimetic design rule and demonstrate the application of Murray's law to microfluidic manifolds, a comprehensive series of computational fluid dynamics simulations have been performed. The numerical predictions are shown to be in very good agreement with the theoretical analysis, confirming that the generalised version of Murray's law can be successfully applied to the design of constant-depth microfluidic devices.
Organisation
CCLRC
,
CSE
,
CSE-CEG
Keywords
Microfluidics
,
Vascular
,
Biomimetics
,
Engineering
,
Murray's law
Funding Information
Related Research Object(s):
Licence Information:
Language
English (EN)
Type
Details
URI(s)
Local file(s)
Year
Journal Article
Lab on a Chip 6 (2006): 447-454.
doi:10.1039/b516975e
Lab-on-a-Chip_Emerson_et_al_2006.pdf
2006
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