Micro and nanofluidics

Goal: Microfluidics studies the transport of liquids at the scale of some micrometer to the hundred of micrometer, such as the flow of red blood cells in a blood vessel, the transport of polymer chains in a porous medium, or the locomotion of micro-organisms. Nanofluidics studies the flow of liquids at the colloidal scale, that is at distance of the nanometer to the micrometer from a surface. This course introduces the concepts of low Reynolds number flows and surface-driven flows and describes the main properties of flows and transport at the sub-millimeter scale.

- Simple deformations, definition of viscosity
- Lubrication flows ; applications
- Stokes equations ; general properties of low Reynolds number flows
- Diffusion and mixing ; hydrodynamic dispersion ; Peclet number
- Capillary flows ; moving contact lines
- Surface driven flows and coupled transport: Marangoni flows ; electro-osmosis ; Helmoltz-Shmolukovski velocity
Exercise session:
Viscous flow around a sphere ; Oseen tensor ; notions on locomotion at low Re

Guyon, Hulin, Petit "Physical Hydrodynamics"
de Gennes, Brochard, Quéré "Bubbles, drops, pearls and waves"
Tabeling "Introduction to microfluidics"

Published on April 7, 2019
Updated on February 3, 2021