Index
Note: Page numbers followed by f indicate figures and t indicate tables.
A
Absolute instability
264, 266, 266f, 270
Acoustic disturbance
281–290
design examples
286–290
mixing in microchannels
286–287
vibration models of square membrane
285f
vibration of circular membrane
285–286, 286f, 287f
models
vibration of rectangular membrane
281–285
models
282f, 284f
Acoustic streaming
286–287, 288f, 289
around air bubble for mixing
289, 290f
based micromixer
289f
with different electrode patterns based on
290f
to disturb flow in conventional Y-mixer
289–290
Active micromixers
3, 4f, 239
acoustic disturbance
281–290
dielectrophoretic disturbance
262–263
electrohydrodynamic disturbance
259–262
electrokinetic disturbance
263–275
flow instability in microchannels
239–240
magnetohydrodynamic disturbance
275–281
pressure-driven disturbance
240–259
thermal disturbance
291
Actuating membrane, acoustic micromixer with
287–288, 289f
Addition reactions
323, 326
Adhesive bonding
155
Advection
36
Advection cycle
38–39
Alkali hydroxide etchants
121
Ammonium hydroxide etchants
121
Angiogenesis
335–336
Anisotropic etching
120, 125f, 281
Anodic bonding
153–154, 154f
Anodic plasma etching (APE)
124
Area-preserving transformation
39
Aspect ratio
306
Atmospheric-pressure chemical vapor deposition (APCVD)
116
Axial diffusion
28
Axial dispersion
1–2
Axon guidance
334–335
AZ4562 resist
137
AZ9260 resist
137
B
Bimorph actuators
242, 243
Biological actuators
246
Bond number
220
Bosch process
124–125
Brown, Robert
23
Brownian motion
22–23
Bulk coupled model, for electrohydrodynamic instability
259
Bulk micromachined microchannels and nanochannels
125–127
C
Cancer metastasis
334
Capillary electrophoresis (CE)
330, 331f
Capillary number
220
Cationic polymerization
327
Centrifugal actuator
245, 246, 246f
Ceramic tapes
281
Chaotic advection
36–53, 249, 270–271, 272f
basic terminologies
36–40
examples of
40–53
Dean flow, in curved pipes
40–46
droplet, flow in
50–53
helical pipes, flow in
46–47
Lorentz’s convection flow
40
twisted pipes, flow in
47–50
Chaotic advection, micromixers based on
195
at high Reynolds numbers
196–203
Dean flow with repeated turns
201–203, 202f
passive mixers with obstacles
199–201
T-mixer
196–198, 197f
at intermediate Reynolds numbers
203–208, 204f
with 90° turns
203–205
with other channel designs
205–208
at low Reynolds numbers
208–219
with Dean vortices and complex 3-d channels
208–211
with flow-guiding structures on channel walls
211–219
in multiphase flow
219–236
mixing in microdroplets
231–236
multiphase systems in microscale
219–230
Chapman–Enskog theory
10–11
Characterization techniques
imaging techniques
confocal laser scanning microscopy
301–302
digital images, acquisition and processing
303–307
two-dimensional fluorescence microscopy
299–301
two-dimensional optical microscopy
295–299
optical microscopy, measurement using
concentration field measurement
310–312
velocity field measurement
307–310
quantification methods
direct statistical methods
312–316
indirect methods
316–320
Charge-coupled devices (CCDs) sensors
303–304, 304f
Charge relaxation time
246
Chemical actuators
244–245
Chemical dry etching
124
Chemical vapor deposition (CVD)
116
Clausius–Mossotti factor
262
Colloidal ferrofluid
66
Colored particle tracking method (CPTM)
215–216
Complementary metal oxide semiconductor (CMOS) sensors
114–115, 303–305, 305f
Complex permittivity
262
Computational transport processes
73
examples
92–109
droplet driven by electro-osmotic flow in enclosure, mixing within
104–107
droplet flowing in straight microchannel, mixing within
97–100
droplet flowing through a micro-u-bend, mixing within
100
ferrofluid droplet, mixing within
107–109
lid-driven microcavity, mixing in
92–96
micro-enclosure, mixing in
92
straight microchannel, mixing in
96
three thermocapillary merged droplets, mixing in
101–104
winding microchannels, mixing in
96
mathematical formulation
75–82
electric and magnetic fields
77–79
energy transport
77
fluid transport
76
species transport
75–76
two-fluid flows
80–82
problem description
75
solution procedure
82–88
finite volume formulation
82–88
of general transient convection diffusion equation
82, 89
level-set method
91–92
of Navier–Stokes equations
90
solution algorithm
88
Conductivity gradient, electrokinetic instability caused by
264–267
Confocal laser scanning microscopy
301–302
schematic concept of
301, 302f
advantage of
302
Nipkow disk
302
Conservation kf energy
21–22
Conservation of mass
14–15
Conservation of momentum
15–21
Conservation of species
22
Continuity equation
14–15
Continuum level
14–22
conservation of energy
21–22
conservation of mass
14–15
conservation of momentum
15–21
conservation of species
22
Continuum model
10
Continuum surface force model
80–81
Convective/diffusive equation
28–29, 278
Convective instability
264, 266, 266f, 270
Coriolis actuator
245, 246, 246f
Coupling reactions
324
Cube-square law
2, 67–68
Cyclic olefin copolymer (COC) substrate
205–206, 210
Cylindrical capillary, electrokinetic flow in
60–61
Czocharalski method (CZ method)
119–120
D
Damköhler number
71
Dean flow
in curved pipes
40–46, 42f
with repeated turns
201–203, 202f
Dean number
45–46
Dean vortices
45f, 47–49
Debye layer
55–57, 56f
Decomposition temperature
137–138
Deep reactive ion etching (DRIE) technique
124, 172–173, 252–253, 289–290
Degenerate modes
285
Dehydration reactions
326
Diamond thin films
130–131
Dielectrophoresis (DEP)
65–66, 333–334
Dielectrophoretic disturbance
262–263
active micromixer based on
263f
Diffusion/convection equation
22
Diffusion coefficient
24–27
of electrolytes
26–27
in gases
24–25
in liquids
25–26
in Poiseuille flow between two parallel plates
32
Diffusive mixing, gradient generator based on
187–193
free-diffusion gradient generator
191–193, 191f, 192f
parallel lamination gradient generator
187–190
Digital images
aspect ratio
306
image resolution
306–307
image sensors
303–305
pixels intensity
306f, 307
Dimensionless pressure gradient
49
Dimensionless three-dimensional velocity field
44–45, 44f
Direct bonding
154–155
Direct electrowetting
225–227, 226f, 227f
Direct simulation Monte Carlo (DSMC)
13, 14
Droplet-based lab-on-a-chip
50
Droplet-based mixing in straight channel
231–232
Droplet driven by electro-osmotic flow in enclosure, mixing within
104–107, 107f, 108f
Droplet flowing in straight microchannel, mixing within
97–100, 99f, 100f
Droplet flowing through a micro-u-bend, mixing within
100, 101f, 102f, 103f
Dry etching
123–125
Duroplastic materials
138
E
Eddy diffusion
1–2
Elasticity number
54–55, 170
Elastomeric polymer
138
Electric and magnetic fields
77–79
electro-osmotic flows
78–79
ferrofluid flows
79
Electric double layer (EDL)
225–227
Electric field variation, electrokinetic instability caused by
267–268
Electrocapillary actuators
245
Electrochemical actuators
244
Electrochemical machining (ECM)
152
Electrohydrodynamic (EHD) disturbance
259–262
active micromixer with different electrode configurations
261f
Electrohydrodynamic force
245
Electrokinetic disturbance
263–275
in axial direction
271f
conductivity gradient, instability caused by
264–267
design examples
270–275, 270f
electric field variation, instability caused by
267–268
micromixer with staggered herringbone electrodes
273f
parallel lamination system for mixing with
264f, 265–266, 266f
in transversal direction
271, 271f
of two streams with different ionic concentration
266f
zeta potentials variation, instability caused by
268–270
Electrokinetic effects
55–66
electroosmosis
55–64
debye layer
55–57
electrokinetic flow between two parallel plates
58–59
electrokinetic flow in cylindrical capillary
60–61
electrokinetic flow in rectangular microchannel
61–63
electroosmotic transport effect
57–58
Ohmic model for electrolyte solutions
63–64
electrophoresis
64–65
dielectrophoresis (DEP)
65–66
Electrokinetic flow
with controlled zeta potential
272, 273f, 274
dimensionless time-dependent velocity profile of
268f
sequential segmentation in
272
Electrolytes, diffusion coefficient of
26–27
Electrolyte solutions, Ohmic model for
63–64
Electromagnetic actuators
244
energy density of
242
Electron beam evaporation (EBE)
118
Electroosmosis
55–64
debye layer
55–57
electrokinetic flow between two parallel plates
58–59
electrokinetic flow in cylindrical capillary
60–61
electrokinetic flow in rectangular microchannel
61–63
electroosmotic transport effect
57–58
Ohmic model for electrolyte solutions
63–64
Electroosmotic mobility
57
Electrophilic aromatic substitution reactions
323
Electrophoresis
55, 64–65, 64f
Electrophoretic mobility
64–65
Electrostatic actuators
243
energy density of
241
Electrostrictive force
245
Electrowetting
245
on dielectric
227
Elimination reactions
323
Elliptic island
251
Elliptic orbits
39
Energy transport
77
Epi-micromachining/near-surface micromachining
127
Escherichia coli
246, 257
Eteroclinic orbit
39
Ethylene diamine pyrochatechol (EDP)
121
Eutectic bonding
155
Evaporation
118
F
Fabrication technologies
113
metallic microtechnologies
150–153
focused ion beam micromachining
152
metals as substrate materials
150–151
micro-electro-discharge machining
152
powder blasting
152–153
ultrasonic micromachining
153
packaging
153–155
adhesive bonding
155
anodic bonding
153–154, 154f
direct bonding
154–155
eutectic bonding
155
polymeric microtechnologies
132–149
polymeric bulk micromachining
137–147
polymeric surface micromachining
147–149
thick-film polymeric materials
132–137
silicon-based microtechnologies
114–131
chemical vapor deposition (CVD)
116
diamond thin films
130–131
photolithography
115–116, 117f
physical vapor deposition (PVD)
117–118
polysilicon
128–130
silicon carbide
131
single-crystalline silicon
119–127
spin coating
118–119
thermal oxidation
116
Fast prototyping of micromixers with soft lithography
145
Ferrofluids
66, 77–78
droplet, mixing within
107–109, 109f, 110f
flows
79
Navier–Stokes equation for
67
Ferromagnetic nanoparticles
66–67
Finite volume formulation
82–88
higher-order schemes
86–87
remarks
87–88
First law of thermodynamics
21–22
Floating zone method (FZ-method)
119–120
Flow helical pipes
14–22
Fluid flow, in microscale
68–71
Fluid transport
76
Fluorescence microscopy, two-dimensional
299–301
Focused ion beam micromachining
152
Fourier number
69
Free-diffusion gradient generator
187, 191–193, 335, 337f
Free radical polymerization (FRP)
326–327
Freeze-quenching technique
330–331, 331f
Friedel–Crafts reactions
323
G
Gas–liquid reactions, micromixers
324–326
addition reactions
326
dehydration reactions
326
substitution reactions
325–326
Gas–liquid system
2
Gas viscosity estimation by kinetic theory
11–13
General transient convection–diffusion equation
82
solution procedure of
89
Glass
126
Glass–glass bonding
154
Glass transition temperature
137–138
Gouy–Chapman layer
55–56
Gradient generator based on diffusive mixing
187–193
free-diffusion gradient generator
191–193, 191f, 192f
parallel lamination gradient generator
187–190, 188f, 189f, 190f
H
Hele–Shaw flow
249
Homoclinic orbit
39
Homopolymer
137–138
Hot embossing
142
Human neural stem cells (hNSCs)
335, 336f
Hydrodynamic focusing and sequential segmentation
181–186
Hydrodynamic instability
247–248, 248f
with multiple side channels
255, 255f, 256f, 259
Hydrogels
244–245
Hyperbolic orbit
39
I
Image resolution
306–307
Image sensors
303–305
Imaging techniques
confocal laser scanning microscopy
301–302
digital images, acquisition and processing
303–307
two-dimensional fluorescence microscopy
299–301
two-dimensional optical microscopy
295–299
Immiscible liquids
2
Immune response
334
Ingenhousz, Jan
23
Injection molding
140
Interferometric lithography
127
Isotropic etching
120
K
Knudsen diffusion
70
Knudsen number
11–13
Kolmogorov scale
1
L
Lab-on-a-chip for blood typing
332–333, 333f
Laminar flow condition
3
Langevin equation
23–24
Laser machining
146–147
Lead zirconate titanate (PZT)
118–119, 243
Lennard–Jones characteristic energies/diameters
11t
Level-set function
80–81
Level-set method, solution procedure of
91–92, 93f, 94f
Lewis number
69
Lid-driven microcavity, mixing in
92–96, 96f, 97f
LIGA (Lithographie-Galvanoformung-Abformung)
140, 151–152
Lippmann equation
225–227
Liquid–liquid reactions, micromixers
322–324
addition and elimination reactions
323
coupling reactions
324
electrophilic aromatic substitution reactions
323
nucleophilic substitution reactions
322
oxidation and reduction reactions
324
Living radical polymerization (LRP)
327
Lorentz’s convection flow
40, 41f
Lorentz force
275
Low-pressure chemical vapor deposition (LPCVD)
116
M
Macromixing
1
Magnetically enhanced reactive ion etching (MERIE)
124
Magnetic effects
66–68
Magnetite precipitation
67
Magnetohydrodynamic (MHD) disturbance
275–281
active micromixer based on
275f
curved-channel configuration
276–280, 277f, 279f
design examples
281
field velocity
277f
straight channel configuration
275–276
Magnetohydrodynamics (MHD)
Magnetorheological fluid (MRF)
66
Ma-P100 resist
137
Mapping function
38–39
Marangoni force
102
Mass transport, in microscale
9
chaotic advection
36–53
basic terminologies
36–40
examples of
40–53
electrokinetic effects
55–66
dielectrophoresis
65–66
electroosmosis
55–64
electrophoresis
64–65
electromagnetic effects
68
magnetic effects
66–68
molecular diffusion
22–27
diffusion coefficient
24–27
random walk and Brownian motion
22–23
Stokes–Einstein model of diffusion
23–24
Taylor dispersion
28–36
three-dimensional analysis
34–36
two-dimensional analysis
28–34
transport phenomena
10–22
continuum level
14–22
molecular level
10–14
viscoelastic effects
53–55
Mathematical formulation
75–82
electric and magnetic fields
77–79
energy transport
77
fluid transport
76
species transport
75–76
two-fluid flows
80–82
Maxwell’s equations
77–78
Mean-fluctuation method
31–32
Mesomixing
1
Metallic microtechnologies
150–153
focused ion beam micromachining
152
metals as substrate materials
150–151
micro-electro-discharge machining
152
powder blasting
152–153
ultrasonic micromachining
153
Metals as substrate materials
150–151
Microactuators
240
characteristics of
241f
Microchannels
fabrication of
with silicon surface micromachining
129–130
flow instability in
239–240
Microcontact printing
144
Microcrystalline diamond (MCD)
130
Microdevices
114
Microdroplets
active control of
225–230
mixing in
231–236
based on chaotic advection inside microdroplet
232–236
droplet-based mixing in straight channel
231–232
Micro-electro-discharge machining
152
Microelectromechanical systems (MEMSs)
114
Micro-enclosure, mixing in
92, 95f
Micromixers
114
application in chemical and biochemical analysis
biological assays
334–336
concentration measurement
329–330
improvement of
330–333
purification and preconcentration
333–334
application in chemical industry
fuel processing
328–329
gas–liquid reactions
324–326
liquid–liquid reactions
322–324
micromixers as microreactors
321–322
particles and emulsions
327–328
polymerization reactions
326–327
definition of
1
as microreactors
5–7
Micromixing
1
Micromolding
144–145
Micro-particle image velocimetry (micro-PIV)
307–308, 309, 309f
Microreactors
321–322
Microscale, multiphase systems in
219–230
microdroplet, active control of
225–230
passive bubble formations
223–225, 225f
passive droplet formation
220–223
Microtechnologies
Microtransfer molding
144–145
Miniaturization
114
Mixing
1
within droplet driven by electro-osmotic flow in enclosure
104–107
within droplet flowing in straight microchannel
97–100
within droplet flowing through a micro-u-bend
100
within ferrofluid droplet
107–110
in lid-driven microcavity
92–96
in macroscale
1–2
in micro-enclosure
92
in microscale
1–5
in serpentine microchannel
99f
in straight microchannel
96
in three thermocapillary merged droplets
101–104
in winding microchannels
96
Mixing chamber
289
Mixing streams, focusing of
177–186, 177f
with different viscosities
179–181
hydrodynamic focusing and sequential segmentation
181–186
with same viscosity
177–179
Mixing time
3–5
Molecular beam epitaxy (MBE)
118
Molecular diffusion
22–27
diffusion coefficient
24–27
of electrolytes
26–27
in gases
24–25
in liquids
25–26
random walk and Brownian motion
22–23
Stokes–Einstein model of diffusion
23–24
Molecular diffusion, micromixers based on
163
focusing of mixing streams
177–186, 177f
with different viscosities
179–181
hydrodynamic focusing and sequential segmentation
181–186
with same viscosity
177–179
gradient generator based on diffusive mixing
187–193
free-diffusion gradient generator
191–193, 191f, 192f
parallel lamination gradient generator
187–190, 188f, 189f, 190f
parallel lamination
163–171, 166f, 167f, 168f, 169f
mixers based on inertial and viscoelastic instabilities
169–171, 171f
mixers based on pure molecular diffusion
163–169
segmentation based on injection
175–177
sequential lamination
171–173, 172f
sequential segmentation
173–175, 173f, 174f
Molecular dynamics (MD)
13–14
Molecular model
10
Multiphase flow, chaotic advection in
219–236
mixing in microdroplets
231–236
based on chaotic advection inside microdroplet
232–236
droplet-based mixing in straight channel
231–232
multiphase systems in microscale
219–230
microdroplet, active control of
225–230
passive bubble formations
223–225, 225f
passive droplet formation
220–223
N
Nanomixer
10
Navier–Stokes equation
15, 180
validation of
90
Network model
54
Newton’s second law
15
Nickel
205–206
Nuclear magnetic resonance (NMR) spectroscopy
330, 331f
Nucleophilic substitution reactions
322
O
Ohm’s law
275–276
Ohmic model
265
for electrolyte solutions
63–64
One-dimensional dispersion
31f
Open circuit potential (OCP)
122
Optical microscopy
measurement using
concentration field measurement
310–312
velocity field measurement
307–310
two-dimensional
295–299
electromagnetic wave, velocity of
296
micromixer with transparent substrate material
298f
optical effect at interface
296, 296f
refractive index
296
simple microscope, CCD sensor
296f, 297–298
spectral colors of visible light
295t
Orbit
39
Oxidation and reduction reactions
324
Oxygen plasma
139
P
Pathline
36
Packaging
153–155
adhesive bonding
155
anodic bonding
153–154, 154f
direct bonding
154–155
eutectic bonding
155
Parallel lamination
69–70
Parallel lamination gradient generator
187–190, 335, 335f
Parallel lamination micromixer
163–171, 166f, 167f, 168f, 169f
based on inertial and viscoelastic instabilities
169–171, 171f
based on pure molecular diffusion
163–169
Partial differential equations (PDEs)
74
Parylene
148–149
Parylene C
148–149
Parylene D
148–149
Parylene N
148–149
Passive bubble formations
223–225, 225f
Passive droplet formation
220–223
Passive micromixers
3, 4f
Passive mixers with obstacles
199–201
Peclet number
69, 165, 187, 278
dimensionless mixing time as function of
280f
Photolithography
115–116, 117f
Physical–chemical etching
124
Physical dry etching
123
Physical vapor deposition (PVD)
117–118
Piezoelectric actuator
281
energy density of
241
Piezoelectricity
243
Planar interdigitated electrodes (IDEs)
333–334
Plasma-enhanced chemical vapor deposition (PECVD)
116
Plastics
137–138
Pneumatic actuators
242
Poincaré section
40, 249, 251, 252f, 253f
in Dean flow
38–39, 46f
Polycarbonate (PC)
149, 214
Polydimethylsiloxane (PDMS)
142, 143, 145
chemical structures of
142f
Polyethylene carbonate (PEC)
149
Polyethylene terephthalate (PET)
202–203
Polyethylene terephthalate glycol (PETG)
214
Polyimide
148
Polymeric bulk micromachining
137–147
fast prototyping of micromixers with soft lithography
145
hot embossing
142
injection molding
140
laser machining
146–147
soft lithography
142–145
Polymeric micromixers
138
Polymeric microtechnologies
132–149
polymeric bulk micromachining
137–147
fast prototyping of micromixers with soft lithography
145
hot embossing
142
injection molding
140
laser machining
146–147
soft lithography
142–145
polymeric surface micromachining
128f, 147–149
parylene
148–149
polyimide
148
thick-film polymeric materials
132–137
AZ4562 resist
137
AZ9260 resist
137
Ma-P100 resist
137
polymethylmethacrylate (PMMA) resist
132–133
SU-8 resist
133–136, 135f
Polymeric surface micromachining
128f, 147–149
parylene
148–149
polyimide
148
Polymerization reactions
326–327
cationic polymerization
327
free radical polymerization (FRP)
326–327
living radical polymerization (LRP)
327
Polymer–polymer bonding
154
Polymethylmethacrylate (PMMA) resist
132–133
Polynorbornene (PNB)
149
Polypropylene carbonate (PPC)
149
Polysilicon
128–130, 119–120
polysilicon surface micromachining
128–129
fabrication of microchannels with silicon surface micromachining
129–130
Polyvinylidene fluoride (PVDF)
243
Powder blasting
152–153
Preconcentration, DNA
333–334
Pressure-driven disturbance
240–259
design examples
252–259, 254f
hydrodynamic instability
247–248
model of active mixer with
247f
pressure generation, actuation concepts for
240–246
pulsed source–sink chaotic advection
249–252
Problem description
75
Projection printing system, resolution of
115–116
Proximity printing, resolution of
115
Pulsed source–sink chaotic advection
249–252
active micromixer based on
257f
first-in-last-out concept
257
micro stirrer, integrated
258–259, 258f
stream lines in bounded domain
250f
stream lines in unbounded domain
250f
Purification, DNA
333–334
Q
Quantification methods
direct statistical methods
312–316
indirect methods
316–320
Quantum dot
327–328
R
Random walk
22–23, 23f
Rayleigh number
265, 267
Reaction injection molding (RIM)
140
Reaction time
3
Reactive evaporation (RE)
118
Reactive ion etching (RIE)
124
Real-time scanning optical microscope
302, 303f
Rectangular microchannel
electrokinetic flow in
61–63
single-phase flow in
17, 18f
Relaxation time
170
Replica molding
144–145
Reynolds number
69
high, micromixers based on chaotic advection at
Dean flow with repeated turns
201–203, 202f
passive mixers with obstacles
199–201
T-mixer
196–198, 197f
intermediate, micromixers based on chaotic advection at
204f
with 90° turns
203–205
with other channel designs
205–208
low, micromixers based on chaotic advection at
with Dean vortices and complex 3-d channels
208–211
with flow-guiding structures on channel walls
211–219
S
Scaling law
67–68, 68–71
Schmidt number
68
Sedimentation potential
55
Segmentation based on injection
175–177
Segmented flows
219–220
Sequential lamination
171–173, 172f
Sequential segmentation
173–175, 173f, 174f
Serpentine microchannel, mixing in
96, 99f
Serratia marcescens
246
Shape memory alloy (SMA) films
151, 243
Shape memory polymers (SMPs)
132
Shear surface
55–56
Silicon-based microtechnologies
114–131
chemical vapor deposition (CVD)
116
diamond thin films
130–131
photolithography
115–116, 117f
physical vapor deposition (PVD)
117–118
polysilicon
128–130
fabrication of microchannels with silicon surface micromachining
129–130
polysilicon surface micromachining
128–129, 128f
silicon carbide
131
single-crystalline silicon
119–127
bulk micromachined microchannels and nanochannels
125–127
dry etching
123–125
epi-micromachining/near-surface micromachining
127
wet etching
120–123
spin coating
118–119
thermal oxidation
116
Silicon carbide
131
Silicon dioxide
116
Silicon direct bonding
154
Silicon fusion bonding
Silicon on isolator (SOI) technology
252
Single-crystalline silicon
119–127
bulk micromachined microchannels and nanochannels
125–127
dry etching
123–125
epi-micromachining/near-surface micromachining
127
wet etching
120–123
Single-molecule model
54
Single-phase flow, in rectangular microchannel
17, 18f
Slanted groove micromixer (SGM)
211–214
Smoluchowski velocity
57
Soft lithography technique
142–145, 253–254, 260–261
fast prototyping of micromixers with
145
Solid–liquid system
2
Solution procedure
82–88
finite volume formulation
82–88
level-set method
91–92
of general transient convection diffusion equation
89, 82
of Navier–Stokes equations
90
solution algorithm
88
Solvent-assisted micromolding
144–145
Spark-assisted chemical engraving (SACE)
152
Spatiotemporal resonance
247
Species transport
75–76
Spin coating
118–119
Split-and-recombine (SAR) concept
171
Stability analysis
247
Staggered herringbone mixer (SHM)
215, 215f
Staggered oriented mixers (SORs)
217
Stem cells
335
Stern layer
55–56
Stoke’s penetration depth
267–268
Stokes–Einstein equation
25–26
Stokes–Einstein model of diffusion
23–24
Straight microchannel, mixing in
96, 98f
Streakline
37
Streaming potential
55
Streamlines
37, 37
Substitution reactions
325–326
Substrate materials, metals as
150–151
Surface coupled model, for electrohydrodynamic instability
259
Surface effects versus volume effects
2
Surface properties
138
Swelling
244
T
Taylor–Aris dispersion
182–183
Taylor dispersion
1–2, 28–36
two-dimensional analysis
28–34
three-dimensional analysis
34–36
Tetramethyl ammonium hydroxide (TMAH)
121–122
Texas Instruments
114–115
Thermal disturbance
291, 291f
Thermal-expansion actuators
242
Thermal oxidation
116
Thermocapillary actuation
227
Thermocapillary actuator
245
Thermocapillary effect
102
Thermocapillary merged droplets, mixing in
101–104, 103f, 104f, 105f
Thermoplastic materials
138
Thermopneumatic actuators
242
Thick-film polymeric materials
132–137
AZ4562 resist
137
AZ9260 resist
137
Ma-P100 resist
137
polymethylmethacrylate (PMMA) resist
132–133
SU-8 resist
133–136, 135f
Three-dimensional analysis
34–36
Time-dependent concentration fields
316, 317f, 318f
T-mixer at high Reynolds numbers
196–198, 197f
Trajectory
Transformation
38–39
Transmission-coupled plasma etching (TCPE)
124
Transport phenomena
10–22
continuum level
14–22
conservation of energy
21–22
conservation of mass
14–15
conservation of momentum
15–21
conservation of species
22
molecular level
10–14
Transport processes, prediction of
Triode reactive ion etching (TRIE)
124
T-sensor
329f, 329–330
T-type micromixer
274
Twisted pipes, flow in%
47–50, 49f, 51f, 52f
Two-dimensional analysis
28–34
Two-fluid flows
80–82
U
Ultrananocrystalline diamond (UNCD)
130
Ultrasonic micromachining
153
Ultraviolet (UV) lasers
146
V
Vacuum thermal evaporation (VTA)
118
Velocity distribution, in rectangular mixing channel
19, 19–21, 21f
Verifications and validations
88–92
general transient convection diffusion equation, solution procedure of
89
level-set method, solution procedure of
91–92
Navier–Stokes equations, solution procedure of
90
Viscoelastic effects
53–55
viscoelastic fluids
54
Viscosity of water, determining
13
Volume effects versus surface effects
2
Volume-preserving transformation
39
W
Weber number
220
Wet etching
120–123
Winding microchannels, mixing in
96, 98f, 99f
Y
Young equation
220
Z
Zeta potentials
controlled
50, 51f, 53
model of control of
47f
modification, micromixers based on
52f, 54
variation, electrokinetic instability caused by
24–25
Zinc oxide (ZnO)
18–21
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