Hele-Shaw Flow Theory in the Context of Open Microfluidics: From Dipoles to Quadrupoles

Boulais, Étienne; Gervais, Thomas

doi:10.1002/9783527696789.ch4

Search citation statements

Order By: Relevance

Paper Sections

Select...

Flow Can Be Modelled As a Superposition Of Point Sources1

Exact Model Of Advection-diffusion For An Asymmetric Dipole ...1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2019

2023

Publication Types

Select...

Article2

Relationship

Self Cite1

Independent1

Authors

Journals

Cited by 2 publications

(2 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Moreover, we can show that this is independent of the aperture's exact shape (be it circular, polygonal or otherwise). 87 We have also shown elsewhere that small channels connected to larger chambers can be modelled as point sources without inducing significant errors. 84 However in some cases, more elaborate source terms may be needed.…”

Section: Flow Can Be Modelled As a Superposition Of Point Sourcesmentioning

confidence: 69%

The 2D microfluidics cookbook – modeling convection and diffusion in plane flow devices

Boulais

Gervais

2023

Lab Chip

View full text Add to dashboard Cite

show abstract

Section: Flow Can Be Modelled As a Superposition Of Point Sourcesmentioning

confidence: 69%

The 2D microfluidics cookbook – modeling convection and diffusion in plane flow devices

Boulais

Gervais

2023

Lab Chip

View full text Add to dashboard Cite

show abstract

“…We model the apertures as point sources and thus neglect their finite radii. The effects of this approximation have already been well-studied 20 and shown to be negligible in most practical applications. Creeping flow (Reynolds number << 1) is assumed throughout the analysis.…”

Section: Exact Model Of Advection-diffusion For An Asymmetric Dipole ...mentioning

confidence: 99%

Microfluidic multipoles theory and applications

et al. 2019

Self Cite

View full text Add to dashboard Cite

Microfluidic multipoles (MFMs) have been realized experimentally and hold promise for “open-space” biological and chemical surface processing. Whereas convective flow can readily be predicted using hydraulic-electrical analogies, the design of advanced microfluidic multipole is constrained by the lack of simple, accurate models to predict mass transport within them. In this work, we introduce the complete solutions to mass transport in multipolar microfluidics based on the iterative conformal mapping of 2D advection-diffusion around a simple edge into dipoles and multipolar geometries, revealing a rich landscape of transport modes. The models are validated experimentally with a library of 3D printed devices and found in excellent agreement. Following a theory-guided design approach, we further ideate and fabricate two classes of spatiotemporally reconfigurable multipolar devices that are used for processing surfaces with time-varying reagent streams, and to realize a multistep automated immunoassay. Overall, the results set the foundations for exploring, developing, and applying open-space microfluidic multipoles.

show abstract

Hele-Shaw Flow Theory in the Context of Open Microfluidics: From Dipoles to Quadrupoles

Cited by 2 publications

References 13 publications

The 2D microfluidics cookbook – modeling convection and diffusion in plane flow devices

The 2D microfluidics cookbook – modeling convection and diffusion in plane flow devices

Microfluidic multipoles theory and applications

Contact Info

Product

Resources

About