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Flow Control - DCU

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Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

Contents<br />

1. Introduction<br />

2. Fluids<br />

3. Physics of Microfluidic<br />

Systems<br />

4. Microfabrication Technologies<br />

5. <strong>Flow</strong> <strong>Control</strong><br />

6. Micropumps<br />

7. Sensors<br />

8. Ink-Jet Technology<br />

9. Liquid Handling<br />

10.Microarrays<br />

11.Microreactors<br />

12.Analytical Chips<br />

13.Particle-Laden Fluids<br />

a. Measurement Techniques<br />

b. Fundamentals of<br />

Biotechnology<br />

c. High-Throughput Screening<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 1


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

1. Check Valves<br />

2. Fixed-Geometry Valves<br />

3. Actuation Principles<br />

4. Active Micro-Valves<br />

5. Fluerics<br />

5. <strong>Flow</strong> <strong>Control</strong><br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 2


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

1. Check Valves<br />

2. Fixed-Geometry Valves<br />

3. Actuation Principles<br />

4. Active Micro-Valves<br />

5. Fluerics<br />

5. <strong>Flow</strong> <strong>Control</strong><br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 3


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1. Definition „Passive Valve“<br />

Definition:<br />

<strong>Flow</strong> rectifier<br />

<strong>Control</strong>led by hydrodynamic<br />

pressure (p 1 –p 2 )<br />

‣ Built up by flow itself<br />

‣ Interplay with geometrical<br />

structure<br />

Characteristics:<br />

valve seat<br />

flow channel<br />

silicon<br />

<strong>Flow</strong> rate / leakage<br />

Hydrodynamic “actuation” force<br />

F = p A<br />

p 2<br />

Hydraulic capacitance<br />

Resonance curve<br />

valve membrane<br />

p 1<br />

0,5 mm<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 4


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1. Types of Passive Valves<br />

Note:<br />

Different effective areas A<br />

for force F = p A<br />

generated by pressure p<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 5


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1. Check Valves<br />

1. Membrane Valves<br />

2. Flap Valves<br />

3. Bivalvular Valves<br />

4. Leakage<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 6


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.1. Membrane Valves<br />

Components:<br />

Peripherally fixed membrane<br />

Central hole<br />

Advantages:<br />

High force due to large<br />

effective area for pressure<br />

valve seat<br />

flow channel<br />

silicon<br />

Drawbacks:<br />

Large size<br />

Large capacitance<br />

Large dead volume<br />

valve membrane<br />

0,5 mm<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 7


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.1. Theoretical Background<br />

Calculation of flow for gases<br />

• Main impact factor<br />

• Smallest cross section A min<br />

• h < A/U A min = h•s<br />

• h > A/U A min = A<br />

Expansion flow through nozzle<br />

m<br />

<br />

M<br />

<br />

p<br />

A min<br />

<br />

2<br />

v<br />

A,2<br />

1<br />

1<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 8


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.1. Membrane Valves – <strong>Flow</strong> Rate<br />

Gap opening; pressure-dependent<br />

s ~ p<br />

<strong>Flow</strong> through narrow gap<br />

(laminar friction / viscosity prevails)<br />

I V ~ p 4<br />

<strong>Flow</strong> through short constriction (e.g.: b < s)<br />

(conversion of potential to kinetic energy prevails)<br />

V ~ p 3/2<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 9


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.1. <strong>Flow</strong> Rate<br />

• Gap height h<br />

• Circumference s<br />

• Pressure surface A<br />

valve seat<br />

flow channel<br />

silicon<br />

• Elastic module k elast<br />

valve membrane<br />

0,5 mm<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 10


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.1. Theoretical Background<br />

Enhancement of flow (A min = U•s)<br />

valve opening<br />

Ventilöffnung<br />

sealing<br />

Dichtkante<br />

Einlaufkanal<br />

inlet channel<br />

Auslaufkanal<br />

outlet channel<br />

quadratic rectangular meander-like<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 11


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.1. Construction Principles<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 12


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.1. Membrane Valves - Fabrication<br />

a<br />

b<br />

c<br />

d<br />

e<br />

o<br />

54,7<br />

a<br />

2<br />

a<br />

1<br />

a<br />

3<br />

a<br />

4<br />

a<br />

5<br />

f<br />

g<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 13


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.1. Membrane Valves<br />

Components:<br />

Peripherally fixed membrane<br />

Central hole<br />

Advantages:<br />

High force due to large<br />

effective area for pressure<br />

Drawbacks:<br />

Large size<br />

Large capacitance<br />

Large dead volume<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 14


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.1. Theoretical Background<br />

Structural mechanics<br />

l a<br />

A<br />

Restoring force by elastic support of valve plate<br />

A<br />

F<br />

el1<br />

4<br />

2<br />

2<br />

3<br />

E ba<br />

,1<br />

4 ba<br />

,1<br />

ba<br />

,2<br />

ba<br />

,2<br />

ha<br />

<br />

z<br />

2<br />

Vp<br />

1<br />

b<br />

b <br />

l<br />

<br />

3<br />

3<br />

a,1<br />

a,2<br />

a<br />

ba,1<br />

Schnitt A-A<br />

ha<br />

ba,2<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 15


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.1. Membrane Valves<br />

Gap flow (b > h)<br />

Constriction flow (b < h)<br />

4000<br />

10000<br />

Flux [µl/min]<br />

3500<br />

3000<br />

2500<br />

2000<br />

1500<br />

1000<br />

500<br />

Type M1;<br />

a 3<br />

= 15 µm; a 5<br />

= 75 µm<br />

valve with broad<br />

valve seat<br />

Flux [µl/min]<br />

8000<br />

6000<br />

4000<br />

2000<br />

Type M1;<br />

a 3<br />

= 9 µm; a 5<br />

= 5 µm<br />

valve with narrow<br />

valve seat<br />

0<br />

0 50 100 150 200<br />

Pressure [hPa]<br />

“gap-like”<br />

0<br />

0 20 40 60 80 100 120<br />

Pressure [hPa]<br />

“constriction-like”<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 16


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.1. Hydraulic Capacitance<br />

<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 17


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1. Check Valves<br />

1. Membrane Valves<br />

2. Flap Valves<br />

3. Bivalvular Valves<br />

4. Leakage<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 18


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.2. Flap Valves<br />

Components:<br />

Unilaterally fixed flap<br />

Opening underneath end of flap<br />

flap<br />

Ventilklappe<br />

silicon<br />

Silizium<br />

Advantages:<br />

Compact size<br />

Low capacitance<br />

High resonance frequency<br />

Moderate dead volume<br />

Drawbacks:<br />

Low actuation force<br />

due to low effective area<br />

Klappenauflage<br />

valve plate<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 19


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

Components:<br />

Unilaterally fixed flap<br />

Opening underneath end of flap<br />

5.1.2. Flap Valves<br />

Advantages:<br />

Compact size<br />

Low capacitance<br />

High resonance frequency<br />

Moderate dead volume<br />

Drawbacks:<br />

Low actuation force<br />

due to low effective area<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 20


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.1. Comparison: Flap / Membrane Valves<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 21


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1. Check Valves<br />

1. Membrane Valves<br />

2. Flap Valves<br />

3. Bivalvular Valves<br />

4. Leakage<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 22


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.3. Bivalvular Valves<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 23


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1. Check Valves<br />

1. Membrane Valves<br />

2. Flap Valves<br />

3. Bivalvular Valves<br />

4. Leakage<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 24


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.1.4. Leakage<br />

Leakage:<br />

Causes<br />

‣ Assembly<br />

‣ Internal stress<br />

‣ Particles / contamination<br />

Possible solutions<br />

‣ Integrated filters<br />

‣ Combination of materials<br />

- Hard - soft<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 25


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

1. Check Valves<br />

2. Fixed-Geometry Valves<br />

3. Actuation Principles<br />

4. Active Micro-Valves<br />

5. Fluerics<br />

5. <strong>Flow</strong> <strong>Control</strong><br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 26


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

1. Diffuser/Nozzle Valves<br />

2. Tesla Valves<br />

3. Hydrophobic Barriers<br />

5.2. Fixed-Geometry Valves<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 27


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

Components:<br />

Conical channel<br />

5.2.1. Diffuser-Nozzle Valves<br />

Advantages:<br />

Simple structure<br />

Compact size<br />

vorwärts<br />

Drawbacks:<br />

Low forward-backward ratio<br />

High leakage rate<br />

A. Olson; Valveless Diffuser<br />

Micropumps; Stockholm 1998<br />

rückwärts<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 28


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.2.1. Diffuser-Nozzle Valves<br />

A. Olson; Valveless Diffuser<br />

Micropumps; Stockholm 1998<br />

nozzle direction<br />

vorwärts<br />

diffuser direction<br />

<strong>Flow</strong> through narrow constriction<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 29


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.2.1. Diffuser / Nozzle Valves in Silicon<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 30


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

1. Diffuser/Nozzle Valves<br />

2. Tesla Valves<br />

3. Hydrophobic Barriers<br />

5.2. Fixed-Geometry Valves<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 31


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.2.2. Bypass-Valves<br />

Components:<br />

Bypass with deviating angles<br />

Advantages:<br />

Simple structure<br />

Compact size<br />

forward<br />

Drawbacks:<br />

Low forward-backward ratio<br />

High leakage rate<br />

backwards<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 32


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.2.2. Bypass-Valves<br />

Components:<br />

Bypass with deviating angles<br />

Advantages:<br />

Simple structure<br />

Compact size<br />

vorwärts<br />

Drawbacks:<br />

Low forward-backward ratio<br />

High leakage rate<br />

rückwärts<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 33


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

1. Check Valves<br />

2. Fixed-Geometry Valves<br />

3. Actuation Principles<br />

4. Active Micro-Valves<br />

5. Fluerics<br />

5. <strong>Flow</strong> <strong>Control</strong><br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 34


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.3. Actuation Principles<br />

1. Thermal Actuators<br />

2. Piezoelectric Actuation<br />

3. Electrostatic Actuation<br />

4. Electromagnetic Actuation<br />

5. Pneumatic Actuation<br />

6. Hydrogel Actuators<br />

7. Bubble-Spring Actuation<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 35


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.3.7. Bubble-Spring Actuation<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 36


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

1. Check Valves<br />

2. Fixed-Geometry Valves<br />

3. Actuation Principles<br />

4. Active Micro-Valves<br />

5. Fluerics<br />

5. <strong>Flow</strong> <strong>Control</strong><br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 37


5.4. Active Microvalves<br />

Microvalve NC 1500<br />

Redwood Microsystems<br />

Microvalve<br />

Twente MicroProducts<br />

Microvalve MegaMic<br />

Hoerbiger-Origa


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4. Active Microvalves<br />

1. Definition and Concepts<br />

2. Design Principles<br />

3. Microvalve Actuation<br />

4. 2-Way Microvalves<br />

5. Microvalves for Pneumatic Systems<br />

6. 3-Way Microvalves<br />

7. Modeling of <strong>Flow</strong> in Microvalves<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 39


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.1. Definition and Nomenclature<br />

Valves<br />

‣ <strong>Flow</strong> control elements<br />

‣ <strong>Control</strong> of fluid flow in binary or continuous fashion<br />

‣ Binary „switch“<br />

- Open and close position<br />

‣ Continuous control<br />

- Continuous adjustment of flow rate between open and close<br />

closed<br />

open<br />

Anschluß 1 Anschluß 2<br />

Anschluß 1 Anschluß 2<br />

port 1 port 2 port 1 port 2<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 40


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.1. Definition and Nomenclature<br />

2- and 3-way valves<br />

‣ Switching between different inlet and outlet ports<br />

‣ Categorization according to number of ports<br />

Two idle modes<br />

‣ Normally open<br />

‣ Normally closed<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 41


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.1. Definition and Nomenclature<br />

Miniature valves:<br />

‣ Miniaturized conventional valves<br />

‣ Precision machining<br />

‣ Conventional driving mechanism<br />

- Overwhelmingly electromagnetic<br />

Microvalves:<br />

‣ Microfabrication<br />

‣ Implementation of microactuators<br />

‣ Miniaturized size<br />

‣ Minimized power requirements<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 42


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4. Active Microvalves<br />

1. Definition and Concepts<br />

2. Design Principles<br />

3. Microvalve Actuation<br />

4. 2-Way Microvalves<br />

5. Microvalves for Pneumatic Systems<br />

6. 3-Way Microvalves<br />

7. Modeling of <strong>Flow</strong> in Microvalves<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 43


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.2. Construction Principles<br />

Typical design of 2-way microvalve:<br />

membrane<br />

Membran<br />

valve plate<br />

Ventilplatte<br />

Anschluß port 1 1 Anschluß port 2 2 valve Dichtkante seat<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 44


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.2. Construction Principles<br />

Equilibration of pressure for valve plate:<br />

Minimized effective area for pneumatic force<br />

pneumatic force:<br />

Membranöffnung<br />

membrane opening<br />

backside of membrane<br />

Membranrückseite<br />

Ventildeckel<br />

cover<br />

F<br />

pn<br />

<br />

p1<br />

p2<br />

<br />

Apn<br />

p1<br />

p1<br />

Fpn<br />

p1<br />

p1<br />

inlet (p 1 ) outlet (p 2 ) valve seat<br />

Einlaß (p1)<br />

Auslaß (p2)<br />

Dichtkante<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 45


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.2. Construction Principles<br />

Normally-open 2-way valve:<br />

membrane Membranöffnung opening membrane Membran valve Ventilplatte plate<br />

Einlaß Auslaß Auslaß Einlaß<br />

inlet<br />

outlet<br />

outlet<br />

inlet<br />

a.) equilibrated<br />

b.) non-equilibrated<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 46


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.2. Construction Principles<br />

Normally closed 2-way valves:<br />

elastic membrane<br />

Ausgleichsmembran<br />

p1<br />

p1<br />

p 2 p 2<br />

Einlaß<br />

Auslaß<br />

inlet<br />

Einlaß<br />

outlet<br />

inlet<br />

Auslaß<br />

outlet<br />

a.) pretension on membrane<br />

b.) elastic valve-seat membrane<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 47


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4. Active Microvalves<br />

1. Definition and Concepts<br />

2. Design Principles<br />

3. Microvalve Actuation<br />

4. 2-Way Microvalves<br />

5. Microvalves for Pneumatic Systems<br />

6. 3-Way Microvalves<br />

7. Modeling of <strong>Flow</strong> in Microvalves<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 48


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.3. Microvalve Actuation<br />

Thermomechanical actuation:<br />

(„bimetallic“ membrane)<br />

T0+dT<br />

T0<br />

r0<br />

Material a<br />

Ftherm<br />

da<br />

db<br />

a<br />

b<br />

z<br />

Material b<br />

Feste Einspannung<br />

membrane am Rand attached to frame<br />

valve Mittenversteifung plate (movable in vertikaler<br />

in Richtung vertical direction) beweglich<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 49


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.3. Microvalve Actuation<br />

Thermomechanical actuation:<br />

(„bimetallic“ membrane)<br />

Maximum deflection of membrane:<br />

Maximum blocking force:<br />

(W. C. Young; Roark´s Formulas for Stress & Strain; McGraw-Hill; 6. Auflage,<br />

New York, USA, 1989. )<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 50


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.3. Microvalve Actuation<br />

Piezoelectric actuation:<br />

(piezo-bimorph)<br />

+z<br />

h<br />

U1<br />

U2<br />

-z<br />

Idle amplitude:<br />

Blocking force:<br />

Valvo Unternehmensbereich Bauelemente der Philips GmbH; Piezooxide (PXE)<br />

Eigenschaften und Anwendungen; Dr. Alfred Hüthig Verlag GmbH, Heidelberg, 1988<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 51


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.3. Piezo-Electric Actuation<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 52


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.3. Microvalve Actuation<br />

Electrostatic actuation:<br />

Working principle<br />

Oppositely charged parallel plates<br />

E-field between plates<br />

One plate movable<br />

Plates attract<br />

+<br />

Isolator<br />

+ + + + + + + + + +<br />

++ ++++++++++++++++++<br />

---------------------------------<br />

Luft<br />

-<br />

Electrostatic force<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 53


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.3. Microvalve Actuation<br />

Electrostatic actuation:<br />

Balance of forces<br />

Snapping voltage<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 54


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

Paschen curve<br />

5.4.3. Microvalve Actuation<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 55


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4. Active Microvalves<br />

1. Definition and Concepts<br />

2. Design Principles<br />

3. Microvalve Actuation<br />

4. 2-Way Microvalves<br />

5. Microvalves for Pneumatic Systems<br />

6. 3-Way Microvalves<br />

7. Modeling of <strong>Flow</strong> in Microvalves<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 56


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.4. Redwood Microsystems<br />

Redwood Microsystems NC-1500<br />

Valve type: 2-way normally-closed<br />

Actuation: thermopneumatic<br />

Media:<br />

Gases<br />

Maximum pressure: 7 bar<br />

<strong>Flow</strong> rates:<br />

0.1 ml / min – 1.500 ml / min<br />

Response time: 1 s<br />

Power:<br />

1.5 W<br />

Temperature range: 0 – 55 o C<br />

Tolerable particle size: 1 µm<br />

Internal volume: 0,6 ml<br />

Dimensions<br />

6x6x2mm³<br />

Operating voltage: 0-15 V<br />

Proportional mode possible<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 57


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.4. Redwood Microsystems<br />

www.redwoodmicro.com<br />

<strong>Flow</strong> controller<br />

Druckregler<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 58


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.4. IC-Sensors<br />

IC-Sensors (USA)<br />

Valve type: 2-way normally-closed<br />

Actuation: Thermomechanical<br />

Media:<br />

Gases<br />

Maximum pressure: 1 bar<br />

<strong>Flow</strong> rate:<br />

0.15 l / min<br />

Response time: 50 ms<br />

Power:<br />

0.4 W<br />

Temperature range: -20 – 70 o C<br />

Tolerable particle size: 25 µm<br />

Operating voltage: 5 V<br />

Gas flow (sccm)<br />

400 mW<br />

300 mW<br />

200 mW<br />

Input pressure (PSI)<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 59


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.4. Lawrence Livermore National Laboratory<br />

Lawrence Livermore<br />

National Laboratory:<br />

Valve type: 2-way normally-open<br />

Actuation:<br />

<br />

<br />

electrostatic<br />

with 1-µm polyimide cantilever<br />

Valve amplitude:200 µm<br />

Media:<br />

Gases<br />

Maximum pressure: 0.2 bar<br />

<strong>Flow</strong> rate: ?<br />

Response time: ?<br />

Power: 10 µW<br />

Temperature range: ?<br />

Size ?<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 60


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.4. Twente Microproducts<br />

Twente Microproducts:<br />

Valve type: 2-way<br />

‣ Bistable (NO / NC)<br />

‣ Rubber-membrane<br />

Actuation: electromagnetic<br />

‣ Combination of permanent<br />

magnet and electromagnet<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 61


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.4. Electromagnetic Actuation<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 62


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.4. Twente Microproducts<br />

Twente Microproducts:<br />

Media: Gases, Liquids<br />

Maximum pressure: 2 bar<br />

Gap diameter:<br />

0.2 mm<br />

Response time: ?<br />

Operating current: 0.5 A<br />

Power: no blocking power<br />

Dead volume: < 5 µl<br />

Dimensions:<br />

6 x 6 x 6 mm³<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 63


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.4. Industrial Microelectronics Center (IMC)<br />

IMC (Sweden):<br />

Valve type: 2-way normally-open<br />

Actuation:<br />

‣ Pneumatic<br />

‣ Silicone membrane<br />

Comparison of deflections of<br />

0.2 x 0.2 mm membrane made of<br />

different materials.<br />

(Thickness adapted for maximum<br />

pressure head of 5 bars)<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 64


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.4. Industrial Microelectronics Center (IMC)<br />

IMC (Sweden):<br />

Valve type: 2-way normally-open<br />

Actuation: pneumatic<br />

Media: Gases or liquids<br />

Actuation pressure depends on<br />

hydrodynamic pressure of flow<br />

to be switched<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 65


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4. Active Microvalves<br />

1. Definition and Concepts<br />

2. Design Principles<br />

3. Microvalve Actuation<br />

4. 2-Way Microvalves<br />

5. Microvalves for Pneumatic Systems<br />

6. 3-Way Microvalves<br />

7. Modeling of <strong>Flow</strong> in Microvalves<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 66


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.5. Miniature Valves – State of the Art<br />

Trends in Automation Technology:<br />

Intelligent, decentralized subsystems<br />

Communicating over common data bus<br />

Miniaturization<br />

Integration of electronics<br />

Present Situation:<br />

Reduction of electric power consumption<br />

electromagnetic and piezoelectric actuation<br />

Typical power consumption 0.5 – 1 W<br />

Various miniaturized valves already feature power consumption below<br />

10 mW which can be controlled by bus system<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 67


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.5. Miniature Valves – State of the Art<br />

Electromagnetically actuated miniature valve:<br />

Manufacturer: SMC<br />

Type:<br />

3-way, normally-closed<br />

Pressure range: 0 – 7 bar<br />

<strong>Flow</strong> rate:8 l / min<br />

Media:<br />

Temperature range: < 50°C<br />

Power:<br />

500 mW<br />

Response time: < 10 ms<br />

Width of housing: 10 mm<br />

filtered, compressed air<br />

Quelle: Fa. SMC<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 68


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.5. Miniature Valves – State of the Art<br />

Electromagnetically actuated miniature valve:<br />

Manufacturer:<br />

Bürkert<br />

Type:<br />

3-way, normally closed<br />

Pressure range:<br />

0 – 10 bar<br />

<strong>Flow</strong>:<br />

4 l / min<br />

Media:<br />

dry, filtered air<br />

Temperature range: -25°C - 80°C<br />

Power:<br />

10 mW<br />

Response time:<br />

20 ms<br />

Source: Fa. Bürkert<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 69


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.5. Miniature Valves – State of the Art<br />

Piezoelectrically actuated miniature valve:<br />

Manufacturer:<br />

Hoerbiger-Origa<br />

Type:<br />

3-way, normally closed<br />

Pressure range:<br />

0 – 2 bar<br />

<strong>Flow</strong>:<br />

1.5 l / min<br />

Media:<br />

dry, filtered compressed air<br />

Temperature range: -10°C - 60°C<br />

Power:<br />

6 mW<br />

Response time:<br />

2 ms<br />

Housing:<br />

19 mm<br />

Source: Hoerbiger-Origa<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 70


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4. Active Microvalves<br />

1. Definition and Concepts<br />

2. Design Principles<br />

3. Microvalve Actuation<br />

4. 2-Way Microvalves<br />

5. Microvalves for Pneumatic Systems<br />

6. 3-Way Microvalves<br />

7. Modelling of <strong>Flow</strong> in Microvalves<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 71


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6. MegaMic Valve Series of HSG-IMIT<br />

Normally-open, electrostatically actuated 2-way valve<br />

valve plate chip<br />

Ventilplattenchip<br />

elastische<br />

Aufhängung<br />

elastic support<br />

opening<br />

Zuluftöffnung<br />

valve plate<br />

Ventilplatte<br />

valve gap<br />

Ventilspalt<br />

outlet<br />

Auslaßöffnung<br />

outlet chip<br />

Auslaßchip<br />

valve Ventilsitz seat<br />

Isolationsschicht<br />

insulation layer<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 72


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6. Microvalves for Gases<br />

System concept<br />

3-way valve (switch)<br />

Electrostatic actuation<br />

Normally-closed by mechanical pretension<br />

Gehäuse housing<br />

pressure port<br />

ceramics Keramik<br />

Auslass<br />

port<br />

pressure<br />

Druckanschluss<br />

port<br />

Entlüftung<br />

outlet<br />

port<br />

outlet<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 73


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6. Microvalves for Gases<br />

System concept<br />

3-way valve (switch)<br />

Electrostatic actuation<br />

Normally-closed by mechanical pretension<br />

U<br />

housing<br />

Gehäuse<br />

pressure port<br />

ceramics<br />

Keramik<br />

Druckanschluss<br />

Auslass<br />

port<br />

pressure port<br />

Entlüftung<br />

outlet<br />

port<br />

outlet<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 74


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6 Microvalves<br />

Characteristics:<br />

Housing:<br />

Response time:<br />

Power:<br />

Pressure range:<br />

Max. flow:<br />

7 x 10 x 16 mm³<br />

< 1 ms<br />

3 mW<br />

10 bar (16 bar)<br />

1 l / min<br />

Pneumatics (10 bar)<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 75


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6 MegaMic-Valve Series of HSG-IMIT<br />

manufacturing of outlet wafer<br />

a<br />

e<br />

b<br />

f<br />

c<br />

g<br />

d<br />

54,7°<br />

h<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 76


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6 MegaMic-Valve Series of HSG-IMIT<br />

manufacturing process of valve plate chip<br />

a<br />

e<br />

b<br />

f<br />

c<br />

g<br />

d<br />

h<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 77


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6 MegaMic-Valve Series of HSG-IMIT<br />

manufacturing of cover chip<br />

a<br />

Si<br />

e<br />

SiO2<br />

Si<br />

b<br />

f<br />

c<br />

g<br />

d<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 78


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6 MegaMic-Valve Series of HSG-IMIT<br />

full-wafer bonding and dicing of valve chip<br />

b<br />

a<br />

c<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 79


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6 MegaMic-Valve Series of HSG-IMIT<br />

packaging and assembly<br />

cap<br />

contacts<br />

steel ball<br />

valve chip<br />

gasket<br />

metallization<br />

carrier (ceramics)<br />

gasket (flat)<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 80


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6 MegaMic-Valve Series of HSG-IMIT<br />

Electrostatically actuated 3-way microvalve MegaMic<br />

Characteristics:<br />

-Pressure range:<br />

10 bar<br />

-<strong>Flow</strong> rate:<br />

typ. 0.5 l / min<br />

-Response time:<br />

< 1 ms<br />

-Power:<br />

3 mW<br />

-Temperature range: -40°C – 80°C<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 81


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6 MegaMic-Valve Series of HSG-IMIT<br />

Measurement of volume flow from pressure to working port<br />

Volume discharge<br />

12<br />

dV /dt [ml/min]<br />

600<br />

500<br />

400<br />

300<br />

200<br />

100<br />

p 2<br />

= 0 bar<br />

p 3<br />

= 0 bar<br />

U e<br />

= 200 V<br />

Measurement<br />

valve 1_2<br />

valve 2_2<br />

valve 3_2<br />

valve 4_2<br />

pressure<br />

Druckanschluß<br />

0<br />

0 1 2 3 4 5 6 7 8<br />

Pressure at pressure port p 1<br />

[bar]<br />

working port<br />

Arbeitsanschluß<br />

outlet<br />

Entlüftung<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 82


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6 MegaMic-Valve Series of HSG-IMIT<br />

Measurement of volume flow from pressure to outlet<br />

Volume discharge dV 23<br />

/dt [ml/min]<br />

600<br />

500<br />

400<br />

300<br />

200<br />

100<br />

p 1<br />

= p 2<br />

p 3<br />

= 0 bar<br />

U e<br />

= 0 V<br />

0<br />

0 1 2 3 4 5 6 7 8<br />

Pressure at working port p 2<br />

[bar]<br />

Measurement<br />

valve 1_2<br />

valve 2_2<br />

valve 3_2<br />

valve 4_2<br />

pressure<br />

Druckanschluß<br />

working port<br />

Arbeitsanschluß<br />

outlet<br />

Entlüftung<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 83


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6 MegaMic-Valve Series of HSG-IMIT<br />

Measurement of electric switching characteristics<br />

Volume discharge dV 12<br />

/dt [ml/min]<br />

500<br />

400<br />

300<br />

200<br />

100<br />

U<br />

p<br />

s,2 U 1<br />

= 6 bar<br />

s,1<br />

p 2<br />

= 0 bar<br />

p 3<br />

= 0 bar<br />

0<br />

-20 0 20 40 60 80 100 120 140 160 180 200 220<br />

Voltage U e<br />

[V]<br />

Measurement<br />

valve 1_2<br />

pressure<br />

Druckanschluß<br />

working port<br />

Arbeitsanschluß<br />

outlet<br />

Entlüftung<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 84


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6. Applications for MegaMic<br />

Kooperation mit<br />

HOERBIGER-ORIGA<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 85


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6. FhG-Institut für Siliziumtechnologie<br />

Valve type: 3-way normally-open<br />

Pressure distribution principle<br />

‣ Nozzle / collision plate<br />

Actuation: thermomechanical<br />

Gap opening: 60 µm<br />

Media:<br />

Maximum pressure:<br />

<strong>Flow</strong> rate:<br />

Response time:<br />

Power:<br />

Gases<br />

9 bar<br />

1.5 l / min<br />

35 ms<br />

600 mW<br />

Temperature range: ?<br />

Dimensions<br />

6x6x2 mm³<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 86


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4.6. FhG-Institut für Siliziumtechnologie<br />

Valve type: 3-way normally-open<br />

Pressure distribution principle<br />

‣ Nozzle / collision plate<br />

pressure<br />

Druckanschluß<br />

Arbeitsanschluß<br />

working<br />

port<br />

Entlüftung<br />

= outlet<br />

Drossel<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 87


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.4. Active Microvalves<br />

1. Definition and Concepts<br />

2. Design Principles<br />

3. Microvalve Actuation<br />

4. 2-Way Microvalves<br />

5. Microvalves for Pneumatic Systems<br />

6. 3-Way Microvalves<br />

7. Modelling of <strong>Flow</strong> in Microvalves<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 88


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

1. Check Valves<br />

2. Fixed-Geometry Valves<br />

3. Actuation Principles<br />

4. Active Micro-Valves<br />

5. Fluerics<br />

5. <strong>Flow</strong> <strong>Control</strong><br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 89


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.5. <strong>Flow</strong> Switches<br />

1. Hydrodynamic <strong>Flow</strong> Switches<br />

2. Microfluidic Flip-Flop<br />

3. Hydrodynamic Oscillator<br />

4. Microfluidic Proportional Amplifier<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 90


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.5.1. Hydrodynamic <strong>Flow</strong> Switch<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 91


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.5.2. Microfluidic Flip-Flop<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 92


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.5.3. Microfluidic Oscillator<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 93


Pr axisbe ispiel: Ausar beitun gspha<br />

Au sarbeit ungde rStand ard-Ze le<br />

5.5.4. Microfluidic Proportional Amplifier<br />

Microfluidics - Jens Ducrée <strong>Flow</strong> <strong>Control</strong> 94

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