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## Abstract

Microfluidic bifurcating networks of rectangular cross-sectional channels are designed using a novel biomimetic rule, based on Murray’s law. Murray’s principle is extended to consider the flow of power-law fluids in planar geometries (i.e. of constant depth rectangular cross-section) typical of lab-on-a-chip applications. The proposed design offers the ability to control precisely the shear-stress distributions and to predict the flow resistance along the network. We use an in-house code to perform computational fluid dynamics simulations in order to assess the extent of the validity of the proposed design for Newtonian, shear-thinning and shear-thickening fluids under different flow conditions.

Original language | English |
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Number of pages | 8 |

Publication status | Unpublished - 7 Sep 2014 |

Event | 4th Micro and Nano Flows Conference, MNF 2014 - University College London, London, United Kingdom Duration: 7 Sep 2014 → 10 Sep 2014 |

### Conference

Conference | 4th Micro and Nano Flows Conference, MNF 2014 |
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Country | United Kingdom |

City | London |

Period | 7/09/14 → 10/09/14 |

## Keywords

- microfluidics
- Murray's law
- Newtonian fluid
- power-law fluid

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## Projects

- 1 Finished