# Interdisciplinary Applied Mathematics

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gas damping, 196 gas flows, 30 gases

rarefied, 9

Gauss’s theorem, 53 Gaussian distribution, 298 general velocity slip boundary condition, 70, 75 b-parameter, 72

generalized diffusion coefficient, 152 ghost effect, 177 Grad method, 589 gravitational field flow fractionation, 303

GROMACS, 493, 494, 643, 645 grooved channel flow, 112 drag reduction, 113

H-theorem, 555, 612 hard disk drives, 202 hard sphere model, 594, 598 dynamic viscosity, 590 heat conduction

ghost effect, 177 heat flux, 52 heat transfer, 167

Couette flow, 188 force-driven flow, 186 pressure-driven flow, 179 heated sharp-edge-induced flow, 177

Helmholtz equation, 520 Helmholtz-Smoluchowski

electroosmotic velocity, 265 velocity, 262, 272, 278 Helmholtz-Smoluckowski velocity, 275

heterogeneous substrates, 324 high-order, 66 models, 66 slip coefficient, 73 slip models derivation, 67 slip models temperature jump, 70

slip models velocity, 69 homogeneous substrates, 324 hp version of finite elements, 507 hydrodynamic interactions, 539, 541 hydrodynamic similarity, 186 hydrogen bonding, 420 hydrophilic, 32, 36, 386, 387, 390, 399, 400, 403

hydrophobic, 32, 36, 386-388, 392, 394, 395

ideal gas, see perfect gas

IEF, 293

impulse bit, 240

in situ pressure sensors, 25

incomplete parabolic system, 53

incompressible flow, 54

conservative (flux) form, 54 convective form, 54 high-speed, 55 low-speed, 55 rotational form, 54 skew-symmetric form, 54 incompressible microflows, 510 inflow conditions, 517 inlet flows, 137 Insight II, 645 interface conditions, 515 interferometer, 65 intermolecular potentials, 624 ion channels, 34, 435, 491 gating, 491 sensitivity, 492 ion convection, 264 ionic energy parameter, 258 Irving-Kirkwood tensor, 639

isoelectric focusing, 281, 293

Joule heating, 270, 280, 305

KAM boundaries, 357 Karhunen-Loeve method, 704, 747 weighted form, 707 Kirchhoff

current law, 686 Kirchhoffian method, 676 Kirchoffian modeling, 748 Knudsen, 2

compressors, 174 layer, 57, 84, 150 minimum, 24, 142, 154, 160, 166, 209

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