Flow rate–pressure drop relation for deformable shallow microfluidic channels
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Publication:5227019
DOI10.1017/JFM.2018.30zbMath1419.76308arXiv1712.02687OpenAlexW3103198008WikidataQ59425594 ScholiaQ59425594MaRDI QIDQ5227019
Howard A. Stone, Ivan C. Christov, Tanmay C. Shidhore, Vincent Cognet
Publication date: 5 August 2019
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.02687
Lubrication theory (76D08) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Turbulent boundary layers (76F40)
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Cites Work
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- Fluid-structure interaction and biomedical applications
- Non-invasive measurement of the pressure distribution in a deformable micro-channel
- A Rational Derivation of a Tube Law from Shell Theory
- Shock propagation through a bubbly liquid in a deformable tube
- Three-dimensional flows in slowly varying planar geometries
- On Upscaling Certain Flows in Deformable Porous Media
- Contact Mechanics
- The Fluid Mechanics of Large Blood Vessels
- Lubrication theory for electro-osmotic flow in a microfluidic channel of slowly varying cross-section and wall charge
- Extended lubrication theory: improved estimates of flow in channels with variable geometry
- Perturbation Expansions on Perturbed Domains
- Axial creeping flow in the gap between a rigid cylinder and a concentric elastic tube
- Reopening modes of a collapsed elasto-rigid channel
- B<scp>IOFLUID</scp> M<scp>ECHANICS IN</scp> F<scp>LEXIBLE</scp> T<scp>UBES</scp>
- Engineering Flows in Small Devices: Microfluidics Toward a Lab-on-a-Chip
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