A mathematical model for the motion analysis of embedded straight microcantilevers under a pressure driven flow
Ezkeera, A., Wilson, P.A., Mayora, K. and Ruano-López, J.M. (2008) A mathematical model for the motion analysis of embedded straight microcantilevers under a pressure driven flow Journal of Micromechanics and Microengineering, 18, (8), pp. 1-12. (doi:10.1088/0960-1317/18/9/095011).
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The empirical optimisation of a cantilever design for microfluidic control applications is a time consuming process that requires considerable testing. The use of finite element analysis tools is a
common alternative to determine the effect of each design parameter. However, the prediction of the motion of an embedded cantilever within a microfluidic channel is a very complex problem. The coupled geometrical and fluidic variables make the simulation difficult using these tools. In this paper,
a mathematical model is presented that couples the geometrical and fluidic features of the system. Therefore, it allows the determination of the way and extent to which each design parameter should be modified in order to achieve the desired performance. To the knowledge of the authors, this is the first
example of a mathematical model that explains the motion and forces acting on a cantilever embedded in a microchannel. Furthermore, it does not require specific knowledge of the flow conditions in the vicinity of the structure, which improves its practical use during the early stages of design. Predictions
have been made for two straight cantilevers under a range of pressures and compared against measurements obtained in Part I of this article. The results obtained show very good agreement with real measurements from experiments.
|Digital Object Identifier (DOI):||doi:10.1088/0960-1317/18/9/095011|
|Keywords:||microfluidic controllers embedded sensors|
|Organisations:||Fluid Structure Interactions Group|
|Date Deposited:||19 Aug 2008|
|Last Modified:||16 Apr 2017 17:38|
|Further Information:||Google Scholar|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
Available Versions of this Item
Part II: A mathematical model for the motion analysis of
embedded microcantilevers under a pressure driven flow using the
Schwarz-Christoffel mapping. (deposited 16 Nov 2009)
- A mathematical model for the motion analysis of embedded straight microcantilevers under a pressure driven flow (deposited 19 Aug 2008) [Currently Displayed]
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