Interdisciplinary Applied Mathematics

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shear stress model, 86 slip flow regime, 79 temperature variation, 190 transition, 83 unified slip model, 85 velocity distribution, 188 velocity profile, 80 volumetric flowrate, 80 Coulomb potential, 628 cut-off frequency, 211

Dean flow, 345

Debye length, 259, 273, 295

Debye-Huckel

approximation, 258 equation, 297 linearization, 256 parameter, 257-259, 272 deep reactive ion etching (DRIE), 64 deformable control volume, 52 density distribution, 366

effect of channel width, 371 effect of fluid flow, 371 description languages, 685 developing flow, 137 dewetting, 318

dielectrophoresis, 254, 300, 327 applications, 302 cell separation, 303 DC, 303 filamentary, 304 Joule heating, 281 microwires, 304 mixing, 353 negative, 301 positive, 301 trapping, 304 velocity, 301

dielectrophoretic transport filamentary, 304 trapping, 304 diffuse layer, 257 diffuse reflection, 62 diffusion coefficient table, 342

diffusive time scale, 55 diffusivity

Einstein equation, 638 Green-Kubo equation, 373, 639

dilute gas, 14 dipole strength ratio, 474 direct simulation Monte Carlo method, 556

direct stiffness summation, 509, 518 discharge mass efficiency, 242 dissipative particle dynamics (DPD), 659

distributed parameter modeling, 682

DKT, see drafting-kissing-tumbling

DMD, 196

DNA sequencing, 35

DPD, 636, 659

Euler method, 664 Lowe’s method, 666, 668 splitting method, 665 Verlet method, 664, 668 drafting-kissing-tumbling event, 544 drag force, 279, 541-543 sphere, 225, 539, 550 drag reduction, 83, 181 DRIE, 241, 243 drying transition, 435 DSMC, 556

boundary conditions, 559 information-preservation scheme, 565

limitations, 558 no-time-counter, 563 unsteady flows, 563 DSMC coupling, 568 DSMC statistical scatter, 564 DSMC-IP, 568 duct flow model, 161

apect ratio factor, 163 mass flowrate, 163 remarks, 166 dynamic coating, 282 dynamic similarity, 18, 562 dynamic viscosity, 591, 596

Eckert number, 61

EDL, 256, 279, 291, 520, 719

bulk flow interface matching, 277

drag force, 279 effective thickness, 260, 277 inner layer scaling, 259 numerical stiffness, 280

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