We consider a situation commonly encountered in microfluidics: two streams of miscible liquids are brought at a junction to flow side by side within a microchannel, allowing solutes to diffuse from one stream to the other and possibly react. We focus on two model problems: (i) the transverse transport of a single solute from a stream into the adjacent one, (ii) the transport of the product of a diffusion-controlled chemical reaction between solutes originating from the two streams. Our description is made general through a nondimensionalized formulation that incorporates both the parabolic Poiseuille velocity profile along the channel and thermal diffusion in the transverse direction. Numerical analysis over a wide range of the streamwise coordinate reveal different regimes. Close to the top and the bottom walls of the microchannel, the extent of the diffusive zone follows three distinct power law regimes as is increased, characterized, respectively, by the exponents 1/2, 1/3, and 1/2. Simple analytical arguments are proposed to account for these results.
Skip Nav Destination
Article navigation
1 April 2007
Research Article|
April 03 2007
Transverse transport of solutes between co-flowing pressure-driven streams for microfluidic studies of diffusion/reaction processes
Jean-Baptiste Salmon;
Jean-Baptiste Salmon
a)
LOF
, UMR 5258 CNRS–Rhodia–Bordeaux 1, 178 avenue du Docteur Schweitzer, F-33608 Pessac cedex, France
Search for other works by this author on:
Armand Ajdari
Armand Ajdari
Gulliver
, UMR 7083 CNRS-ESPCI, 10 rue Vauquelin, 75005 Paris, France
Search for other works by this author on:
a)
Electronic mail: jean-baptiste.salmon-exterieur@eu.rhodia.com
J. Appl. Phys. 101, 074902 (2007)
Article history
Received:
November 22 2006
Accepted:
January 24 2007
Citation
Jean-Baptiste Salmon, Armand Ajdari; Transverse transport of solutes between co-flowing pressure-driven streams for microfluidic studies of diffusion/reaction processes. J. Appl. Phys. 1 April 2007; 101 (7): 074902. https://doi.org/10.1063/1.2714773
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Pay-Per-View Access
$40.00
Citing articles via
A step-by-step guide to perform x-ray photoelectron spectroscopy
Grzegorz Greczynski, Lars Hultman
GaN-based power devices: Physics, reliability, and perspectives
Matteo Meneghini, Carlo De Santi, et al.
Related Content
In situ Raman imaging of interdiffusion in a microchannel
Appl. Phys. Lett. (February 2005)
Uncertainty quantification in modeling of microfluidic T-sensor based diffusion immunoassay
Biomicrofluidics (January 2016)
Microscopic steady streaming eddies created around short cylinders in a channel: Flow visualization and Stokes layer scaling
Physics of Fluids (December 2004)
Developing a fast and tunable micro-mixer using induced vortices around a conductive flexible link
Physics of Fluids (March 2017)
Oscillation and collective conveyance of water-in-oil droplets by microfluidic bolus flow
Appl. Phys. Lett. (August 2015)