C
Capillary electrophoresis (CE)
330,
331fCationic polymerization
327Chaotic advection, micromixers based on
195at low Reynolds numbers
208–219with Dean vortices and complex 3-d channels
208–211with flow-guiding structures on channel walls
211–219Chapman–Enskog theory
10–11Characterization techniques
imaging techniques
confocal laser scanning microscopy
301–302digital images, acquisition and processing
303–307two-dimensional fluorescence microscopy
299–301two-dimensional optical microscopy
295–299optical microscopy, measurement using
concentration field measurement
310–312Charge relaxation time
246Chemical vapor deposition (CVD)
116Clausius–Mossotti factor
262Colored particle tracking method (CPTM)
215–216Computational transport processes
73examples
92–109droplet driven by electro-osmotic flow in enclosure, mixing within
104–107droplet flowing in straight microchannel, mixing within
97–100droplet flowing through a micro-u-bend, mixing within
100ferrofluid droplet, mixing within
107–109lid-driven microcavity, mixing in
92–96micro-enclosure, mixing in
92straight microchannel, mixing in
96three thermocapillary merged droplets, mixing in
101–104winding microchannels, mixing in
96mathematical formulation
75–82electric and magnetic fields
77–79solution procedure
82–88finite volume formulation
82–88of general transient convection diffusion equation
82,
89of Navier–Stokes equations
90Conductivity gradient, electrokinetic instability caused by
264–267Confocal laser scanning microscopy
301–302Conservation kf energy
21–22Conservation of mass
14–15Conservation of momentum
15–21Conservation of species
22Continuum level
14–22conservation of energy
21–22conservation of mass
14–15conservation of momentum
15–21conservation of species
22Continuum surface force model
80–81Cyclic olefin copolymer (COC) substrate
205–206,
210Cylindrical capillary, electrokinetic flow in
60–61Czocharalski method (CZ method)
119–120D
Dielectrophoretic disturbance
262–263active micromixer based on
263fDiffusion/convection equation
22Diffusion coefficient
24–27in Poiseuille flow between two parallel plates
32Diffusive mixing, gradient generator based on
187–193parallel lamination gradient generator
187–190Dimensionless pressure gradient
49Dimensionless three-dimensional velocity field
44–45,
44fDirect simulation Monte Carlo (DSMC)
13,
14Droplet-based lab-on-a-chip
50Droplet-based mixing in straight channel
231–232Droplet driven by electro-osmotic flow in enclosure, mixing within
104–107,
107f,
108fDroplet flowing in straight microchannel, mixing within
97–100,
99f,
100fE
Electric and magnetic fields
77–79electro-osmotic flows
78–79Electric field variation, electrokinetic instability caused by
267–268Electrocapillary actuators
245Electrochemical actuators
244Electrochemical machining (ECM)
152Electrohydrodynamic (EHD) disturbance
259–262active micromixer with different electrode configurations
261fElectrohydrodynamic force
245Electrokinetic disturbance
263–275conductivity gradient, instability caused by
264–267electric field variation, instability caused by
267–268micromixer with staggered herringbone electrodes
273fof two streams with different ionic concentration
266fzeta potentials variation, instability caused by
268–270Electrokinetic effects
55–66electroosmosis
55–64electrokinetic flow between two parallel plates
58–59electrokinetic flow in cylindrical capillary
60–61electrokinetic flow in rectangular microchannel
61–63electroosmotic transport effect
57–58Ohmic model for electrolyte solutions
63–64dielectrophoresis (DEP)
65–66Electrokinetic flow
dimensionless time-dependent velocity profile of
268fsequential segmentation in
272Electrolytes, diffusion coefficient of
26–27Electrolyte solutions, Ohmic model for
63–64Electromagnetic actuators
244Electron beam evaporation (EBE)
118Electroosmosis
55–64electrokinetic flow between two parallel plates
58–59electrokinetic flow in cylindrical capillary
60–61electrokinetic flow in rectangular microchannel
61–63electroosmotic transport effect
57–58Ohmic model for electrolyte solutions
63–64Electroosmotic mobility
57Electrophilic aromatic substitution reactions
323Electrophoretic mobility
64–65Electrostatic actuators
243Electrostrictive force
245Epi-micromachining/near-surface micromachining
127Ethylene diamine pyrochatechol (EDP)
121F
Fabrication technologies
113metallic microtechnologies
150–153focused ion beam micromachining
152metals as substrate materials
150–151micro-electro-discharge machining
152ultrasonic micromachining
153polymeric microtechnologies
132–149polymeric bulk micromachining
137–147polymeric surface micromachining
147–149thick-film polymeric materials
132–137silicon-based microtechnologies
114–131chemical vapor deposition (CVD)
116physical vapor deposition (PVD)
117–118Fast prototyping of micromixers with soft lithography
145Ferrofluids
66,
77–78Navier–Stokes equation for
67Ferromagnetic nanoparticles
66–67Finite volume formulation
82–88higher-order schemes
86–87First law of thermodynamics
21–22Floating zone method (FZ-method)
119–120Fluid flow, in microscale
68–71Fluorescence microscopy, two-dimensional
299–301Focused ion beam micromachining
152Free radical polymerization (FRP)
326–327Friedel–Crafts reactions
323L
Lennard–Jones characteristic energies/diameters
11tLIGA (Lithographie-Galvanoformung-Abformung)
140,
151–152Liquid–liquid reactions, micromixers
322–324addition and elimination reactions
323electrophilic aromatic substitution reactions
323nucleophilic substitution reactions
322oxidation and reduction reactions
324Living radical polymerization (LRP)
327Lorentz’s convection flow
40,
41fLow-pressure chemical vapor deposition (LPCVD)
116M
Magnetically enhanced reactive ion etching (MERIE)
124Magnetite precipitation
67Magnetohydrodynamic (MHD) disturbance
275–281active micromixer based on
275fstraight channel configuration
275–276Magnetohydrodynamics (MHD)
Magnetorheological fluid (MRF)
66Mass transport, in microscale
electrokinetic effects
55–66electromagnetic effects
68molecular diffusion
22–27diffusion coefficient
24–27random walk and Brownian motion
22–23Stokes–Einstein model of diffusion
23–24Taylor dispersion
28–36three-dimensional analysis
34–36two-dimensional analysis
28–34viscoelastic effects
53–55Mathematical formulation
75–82electric and magnetic fields
77–79Mean-fluctuation method
31–32Metallic microtechnologies
150–153focused ion beam micromachining
152metals as substrate materials
150–151micro-electro-discharge machining
152ultrasonic micromachining
153Metals as substrate materials
150–151Microchannels
fabrication of
with silicon surface micromachining
129–130Microcrystalline diamond (MCD)
130Microdroplets
mixing in
231–236based on chaotic advection inside microdroplet
232–236droplet-based mixing in straight channel
231–232Micro-electro-discharge machining
152Microelectromechanical systems (MEMSs)
114Micro-enclosure, mixing in
92,
95fMicromixers
114application in chemical and biochemical analysis
purification and preconcentration
333–334application in chemical industry
micromixers as microreactors
321–322Microscale, multiphase systems in
219–230microdroplet, active control of
225–230Mixing
within droplet driven by electro-osmotic flow in enclosure
104–107within droplet flowing in straight microchannel
97–100within droplet flowing through a micro-u-bend
100in lid-driven microcavity
92–96in serpentine microchannel
99fin straight microchannel
96in three thermocapillary merged droplets
101–104in winding microchannels
96Mixing streams, focusing of
177–186,
177fhydrodynamic focusing and sequential segmentation
181–186Molecular beam epitaxy (MBE)
118Molecular diffusion
22–27diffusion coefficient
24–27random walk and Brownian motion
22–23Stokes–Einstein model of diffusion
23–24Molecular diffusion, micromixers based on
163focusing of mixing streams
177–186,
177fhydrodynamic focusing and sequential segmentation
181–186gradient generator based on diffusive mixing
187–193segmentation based on injection
175–177Molecular dynamics (MD)
13–14Multiphase flow, chaotic advection in
219–236mixing in microdroplets
231–236based on chaotic advection inside microdroplet
232–236droplet-based mixing in straight channel
231–232multiphase systems in microscale
219–230microdroplet, active control of
225–230P
Partial differential equations (PDEs)
74Passive mixers with obstacles
199–201Physical–chemical etching
124Physical vapor deposition (PVD)
117–118Piezoelectric actuator
281Planar interdigitated electrodes (IDEs)
333–334Plasma-enhanced chemical vapor deposition (PECVD)
116Polydimethylsiloxane (PDMS)
142,
143,
145chemical structures of
142fPolyethylene carbonate (PEC)
149Polyethylene terephthalate (PET)
202–203Polyethylene terephthalate glycol (PETG)
214Polymeric bulk micromachining
137–147fast prototyping of micromixers with soft lithography
145Polymeric microtechnologies
132–149polymeric bulk micromachining
137–147fast prototyping of micromixers with soft lithography
145thick-film polymeric materials
132–137polymethylmethacrylate (PMMA) resist
132–133Polymerization reactions
326–327cationic polymerization
327free radical polymerization (FRP)
326–327living radical polymerization (LRP)
327Polymer–polymer bonding
154Polymethylmethacrylate (PMMA) resist
132–133Polypropylene carbonate (PPC)
149Polyvinylidene fluoride (PVDF)
243Pressure-driven disturbance
240–259model of active mixer with
247fpressure generation, actuation concepts for
240–246pulsed source–sink chaotic advection
249–252Projection printing system, resolution of
115–116Proximity printing, resolution of
115Pulsed source–sink chaotic advection
249–252active micromixer based on
257ffirst-in-last-out concept
257stream lines in bounded domain
250fstream lines in unbounded domain
250fS
Sedimentation potential
55Segmentation based on injection
175–177Serpentine microchannel, mixing in
96,
99fShape memory alloy (SMA) films
151,
243Shape memory polymers (SMPs)
132Silicon-based microtechnologies
114–131chemical vapor deposition (CVD)
116physical vapor deposition (PVD)
117–118polysilicon
128–130fabrication of microchannels with silicon surface micromachining
129–130single-crystalline silicon
119–127bulk micromachined microchannels and nanochannels
125–127epi-micromachining/near-surface micromachining
127Silicon direct bonding
154Silicon on isolator (SOI) technology
252Single-crystalline silicon
119–127bulk micromachined microchannels and nanochannels
125–127epi-micromachining/near-surface micromachining
127Single-phase flow, in rectangular microchannel
17,
18fSlanted groove micromixer (SGM)
211–214Solution procedure
82–88finite volume formulation
82–88of general transient convection diffusion equation
89,
82of Navier–Stokes equations
90Solvent-assisted micromolding
144–145Spark-assisted chemical engraving (SACE)
152Spatiotemporal resonance
247Split-and-recombine (SAR) concept
171Staggered herringbone mixer (SHM)
215,
215fStaggered oriented mixers (SORs)
217Stokes–Einstein equation
25–26Stokes–Einstein model of diffusion
23–24Straight microchannel, mixing in
96,
98fSubstrate materials, metals as
150–151Surface coupled model, for electrohydrodynamic instability
259Surface effects versus volume effects
T
Tetramethyl ammonium hydroxide (TMAH)
121–122Thermal-expansion actuators
242Thermocapillary actuation
227Thermocapillary actuator
245Thermocapillary effect
102Thermoplastic materials
138Thermopneumatic actuators
242Thick-film polymeric materials
132–137polymethylmethacrylate (PMMA) resist
132–133Three-dimensional analysis
34–36Transmission-coupled plasma etching (TCPE)
124Transport phenomena
10–22continuum level
14–22conservation of energy
21–22conservation of mass
14–15conservation of momentum
15–21conservation of species
22Transport processes, prediction of
Triode reactive ion etching (TRIE)
124Two-dimensional analysis
28–34V
Vacuum thermal evaporation (VTA)
118Velocity distribution, in rectangular mixing channel
19,
19–21,
21fVerifications and validations
88–92general transient convection diffusion equation, solution procedure of
89level-set method, solution procedure of
91–92Navier–Stokes equations, solution procedure of
90Viscoelastic effects
53–55Viscosity of water, determining
13Volume effects versus surface effects
Volume-preserving transformation
39