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A7_Microfluidics_fundamentals_I

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Diffusion in microsystems

Diffusion tends to be more relevant in microsystems, but the actual values of D are low!

if D ~ 10-5 cm2/s, U ~ 1 mm/s, l ~ 100 m (channel height) Pe ~ 100

if D ~ 10-5 cm2/s, U ~ 10 m/s, l ~ 1 m (channel height) Pe ~ 0.01

Real situations somewhere in between – there is not a characteristic order of magnitude for the Peclet number

Diffusion mixing time

δ = 2 DT

τ ~ L 2

D

MEMS-based microfluidics: the plumbing

Microvalves

Micropumps

Microchannels

Micro flow sensors

ρflow in microchannels (1-1000 µm) is laminar Re < 2000

Re is the ratio of inertial force to friction (viscous) force – in a microchannel, Re~10-3-10-5, and the dynamics are of a highly viscous fluid, such as molasses

The plumbing: micro flow channels

Glass/Silicon etching and bonding

double-T intersection etched in glass for 165 pL sample fluid plugs

glass-glass microchannel, 20 µm deep and 50 µm wide

Wafer bondingAnodic

cathode

 

 

 

 

 

current

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Na+

 

glass

+

+ +

+

+

+

-

 

 

 

 

V

-

- - -

- -

 

silicon

 

 

 

 

 

 

 

 

 

+

chuck

bring sodium containing glass (Pyrex) and silicon together

heat to high temperature (200-500 ºC) in vacuum, air or inert ambient

apply high electric field between the 2 materials (V~1000V) causing mobile + ions to migrate to the cathode leaving behind fixed negative charge at glass/silicon interface

bonding is complete when current vanishes

glass and silicon held together by electrostatic attraction between – charge in glass and + charges in silicon

Piezoresistive pressure sensor

SiO2

p+ Si

<100> Si

glass

Microflow channels – soft lithography

PDMS micromolding

The plumbing: microvalves - concepts

Microvalves - realization

Redwood Microsystems

active normally open microvalve

active normally-closed microvalve

Micropumps

Example of the electrostatically actuated membrane pump

Fraunhofer Institute for Solid State Technology,

Munich, Germany

An increase in volume draws liquid through the inlet check-valve

Relaxation of the diaphragm expels the liquid through the outlet checkvalve

Micropumps

Example of the electrostatically actuated membrane pump

Fabrication process involves etching many cavities separately

in each wafer, and then bonding the individual substrates together by siliconfusion bonding

Basic electrokinetic effects

A: Electroosmotic flow (EOF), B: electrophoresis (EP), C: dielectrophoresis (DEP)

Microfluidic realization of capillary electrophoresis analysis on the electrokinetic platform. After the sample has been transported to the junction area (1) it is metered by the activated horizontal flow and injected into the separation channel (2). Therein, the sample components are electrophoretically separated (3) and read out by their fluorescence signal (4).

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