Abstract
Magnetohydrodynamic mixing of two fluids in an annular microchannel is modelled as a two-dimensional laminar convection-diffusion problem and examined using asymptotic analysis and numerical simulation. The time T required for mixing of a plug of solute depends on the Péclet number Pe and on the geometry of the annulus. Three scaling regimes are identified: purely diffusive, Taylor-dispersive, and convection-dominated; each has a characteristic power-law dependence of T upon Pe. Consequences of these results for optimal micromixer design are discussed.
Original language | English |
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Pages (from-to) | 1294-1310 |
Number of pages | 17 |
Journal | SIAM Journal on Applied Mathematics |
Volume | 64 |
Issue number | 4 |
DOIs | |
Publication status | Published - Apr 2004 |
Externally published | Yes |
Keywords
- Asymptotic analysis
- Convection-diffusion
- Laminar mixing
- Microfluidics