Interdisciplinary Applied Mathematics

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SURFACE EVOLVER, 325 surface force apparatus, 387 surface tension, 32, 311 table, 312


temperature variation, 311 Sutherland’s law, 514, 515 system simulation, 38


low-dimensional models, 42


T-junction flow, 33 Taylor dispersion, 295, 342 Taylor-Aris limit, 296 temperature discontinuity-induced flow, 177


temperature jump, 60


boundary condition, 70 temperature minimum, 187 temperature-induced flow discontinuity, 175 heated plate, 175 Tersoff potential, 628 thermal creep, 31, 167, 607 effects, 181 experiment, 173 flow, 596


pressure drop, 170 thermal effects, 167 thermal stress, 59, 599, 601 thermal stress slip flow, 175, 176, 596


thermocapillary pumping, 322 thermostats, 634


Andersen, 635, 666 Berendsen, 634 Nose-Hoover, 634 thin films, 317 third-order slip, 73 through variable, 677 thrust force, 241 time-periodic Couette flow, 96 basic characteristics, 103 bounded rarefaction layer, 97 bounded Stokes layer, 97 energy dissipation, 107 free-molecular regime, 98 penetration depth, 103 shear stress, 105 slip velocity, 106 solution of Boltzmann equations, 98


transition regime, 97 time-periodic electroosmosis, 270 time-splitting method, 509 TMAC, see accommodation coefficients


transition flow, 16, 19 transition regime, 20, 57 duct flow model, 161 flowrate, 142, 150 mass flowrate, 157 modeling, 140 pipe flow model, 156 unified model, 146 velocity scaling, 147


transpiration, see thermal creep Tsallis entropy, 613


Woods equations, 57


Young equation


general form, 315 gravity, 316


Young-Lippmann equation, 330 general form, 331 Young-Lippmann equation, 327 Yukawa potential, 626 Yvon-Born-Green theory, 371


zeta potential, 257, 258, 264, 297 modifications, 281


unified model


duct flow, 161 pipe flow, 156


unsteady Couette flow, see time-periodic Couette flow


unsteady Stokes equations, 56


validation of slip models, 131 van der Waals forces, 317 variable diffusion coefficient model,


152


velocity distribution function, 584 velocity slip, 60 virtual walls, 326 viscous heating, 31, 182, 187 VLSI, 38

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