Three-dimensional flows in slowly varying planar geometries

DOI10.1063/1.1760105zbMath1186.76309arXivcond-mat/0306572OpenAlexW2016534119MaRDI QIDQ3554568

Howard A. Stone, Abraham D. Stroock, Eric Lauga

Publication date: 22 April 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0306572

zbMATH Keywords

geometrylaminar flowtwo-phase flowchannel flowstratified flow

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (9)

Stokes flow in a rough curved channel ⋮ Oscillatory flow in a corrugated curved channel ⋮ Tensorial hydrodynamic slip ⋮ The motion of a deforming capsule through a corner ⋮ A higher-order Hele-Shaw approximation with application to gas flows through shallow micro-channels ⋮ Flow rate–pressure drop relation for deformable shallow microfluidic channels ⋮ Three-dimensional features in low-Reynolds-number confined corner flows ⋮ Effects of slowly varying meniscus curvature on internal flows in the Cassie state ⋮ Experimental characterization of three-dimensional corner flows at low Reynolds numbers

Cites Work

• On the integrability and perturbation of three-dimensional fluid flows with symmetry
• Steady Stokes flow in a rectangular cavity
• Laminar flow in a curved pipe with varying curvature
• Secondary flow in a Hele-Shaw cell
• Lubrication theory for electro-osmotic flow in a microfluidic channel of slowly varying cross-section and wall charge
• Secondary flow in a Hele-Shaw cell
• Low Reynolds number flow in slowly varying axisymmetric tubes
• Engineering Flows in Small Devices: Microfluidics Toward a Lab-on-a-Chip

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