# Interdisciplinary Applied Mathematics

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slip condition, 278 EDM, 1

effective viscosity, 210, 212 electric

conductivity, 264, 280 current density, 280 electric double layer, 256

displacement thickness, 266 electric neutrality, 256, 292 electrocapillary, 326 electrochemical potential correction, 454

electrokinetic

body force, 261 flow, 253 instability, 282 micropump, 268 mobility, 262 potential, 257, 258 electrokinetics, 31 electroosmosis, 254 AC, 270

flow control, 283 Joule heating, 281 mixing, 282

numerical verification, 520 suppression, 281 time-periodic, 271 electroosmotic flow, 511 array of posts, 288 complex geometric flows, 283 control, 283

cross-flow junctions, 284 governing equations, 264 slip condition, 459 electroosmotic potential, 259 electroosmotic/pressure-driven flows, 255, 266 dispersion, 297 shear stress, 267 volumetric flowrate, 267 electrophoresis, 254, 290 capillary, 294, 298 in a pipe, 300 migration velocity, 292 mobility, 291 moving boundary, 293 steady stat, 293 zone, 294 electrophoresis

migration velocity, 290 electrophoretic

deposition, 484

deposition colloidal aggregation, 485

migration velocity, 263 mobility, 262 velocity, 300 electrostatics, 56 electrowetting, 326, 327, 749 continuous type, 327 electrowetting-on-dielectric, 327 element stamps, 685 embedding method, 652 Navier-Stokes, 655 Poisson-Boltzmann, 653 EMD, 623, 639 energy methods, 678 ensemble average, 564 entropic LBM, 187, 612, 617, 618 method, 187

equation of state, see perfect gas equations of motion, 51 equilibrium state, 585 equivalent circuit representation, 677 equivalent electric circuit model, 210 Euler backward method, 509 Euler equations, 53 Ewald summation, 631 expansion cooling, 187

Fanning friction, 130 coefficient, 181 factor, 127, 130 Fanno theory, 126 fast multipole method, 632 FCM, see force coupling method, 553 multipole expansion, 545 fingering instability, 323 finite cloud method, 528 finite differences, 505 finite elements, 505 first coordination shell, 430 first-order models, 59 flow past a sphere, 224

drag force components, 225 external flow, 224 in a pipe, 225

flow reversal, 467 fluid layering, 367 fluid-wall interaction, 368 FMMR, 243, 587 force coupling method, 543 force-driven, 186

flow heat transfer, 186 Poiseuille flow, 186 Fourier law of heat conduction, 52 fractional step method, 510 free-molecular flow, 16, 590 free-molecular regime flowrate, 164 modeling, 140 unified model, 146 frequency domain, 211 friction factor, 21 functionalized nanotubes, 496

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