Interdisciplinary Applied Mathematics

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bioelectronic circuit, 305 black box models, 691, 748 Boltzmann equation, 584 approximate forms, 590 classical solutions, 588 heat transfer, 607 macroscopic quantities, 586 numerical solutions, 602 Boltzmann inequality, 585 Bond number, 313, 335 bond order, 628 bounce-back scheme, 614


boundary cloud method, 534 boundary elements, 5, 505 boundary scattering, 137 bounded rarefaction layer, 98


see time-periodic Couette flow, 97


Bretherton equation, 336 Bretherton scaling, 336 Brownian motion, 18, 301, 470, 479, 487


bubbles


transport, 335 Buckingham potential, 627 bulk scattering, 137 Burnett equations, 57, 144 asymptotic limit, 146 cross-flow component, 145 deviations, 146 numerical instabilities, 67 streamwise component, 145 stress tensor, 66


capillarity, 314 capillary drying, 13 capillary number, 320, 336 capillary spreading, 319


self-similar solution, 322 capillary wicking, 319 carbon nanotubes, 379, 424, 488, 489 armchair, 489 multiwalled, 489 single-walled, 489 velocity slip, 497 zigzag, 489 Casimir effect, 9 cationic surfactants, 338 cavity flow, 110, 532 pressure, 112 vortex center, 112 Cercignani-Lampis model, 587 channel


elastomeric, 32 channel flow


compressibility effects, 121 limitation of analytic formulas, 126


mass flowrate, 120 pressure distribution, 120 velocity profile, 120


chaotic advection, 283, 342-345, 347, 349


Chapman-Enskog expansion, 57, 67, 611


Chapman-Enskog method, 589, 590 Chapman-Enskong theory, 14 characteristic boundary conditions, 509


characteristic decomposition, 515 characteristic treatment, 509, 515 charge inversion, 462 charged particle in a pipe, 300 charged species


conservation equation, 261 CHARMM, 645 Chemical, 645 chemisorption, 426 chiral angle, 490 chirality, 489 vector, 489 choking, 217


Clausius-Mossotti factor, 301 CODESC, 42 collision frequency, 152 colloidal micropumps, 8 comb-drive, 3 compressibility, 31 compressible flow, 57 adiabatic, 126 isothermal, 118 compressible microflows, 513 compressible Navier-Stokes, 53 conductivity, 596 conservation equations, 52, 59 conservative variables, 514 contact angle, 311, 314 contact angle saturation, 332 continuum, 16, 57 continuum hypothesis, 8 continuum regime, 57 convective time scale, 55 Couette flow, 79 flowrate, 203 free-molecular, 83 friction coefficient, 80, 81 heat transfer, 188 high-order slip effect, 76, 80 oscillatory, 90, 197

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