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| Crank J. — The Mathematics of Diffusion |
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| Ïðåäìåòíûé óêàçàòåëü |
Instantaneous source: plane 11—13
Instantaneous source: point 28 29
Intrinsic diffusion coefficient 209—211
Irreversible reaction see Chemical reaction and diffusion
Irreversible thermodynamics 213 214 262—264
Ivantsov, G.P. 308
Jackson, R. 107 149 157
Jackson, R.A. 63 252 253
Jacobs, M.H. 10 45 47
Jaeger, J.C. 7 8 11 14 19 20 23 24 25 29 32 41 47 49 52 53 57 59 60 61 64 71 73 74 81 82 83 84 86 87 88 91 97 98 101 105 217 268 269 290 307 329 334 351
Jason, A.C. 48
Jeans, J.H. 209
Jefferson, T.B. 274 281 284
Jenkins, R.C. LI. 52
Johnson, P. 214
Johnson, W.A. 212
Jost, W. 10 17 39 47 63 214
Katchalsky, A. 270
Katz, S.M. 349 350
Kawalki, W. 63
Kedem, O. 270
Kegeles, G. 213
Keller, J.B. 273 283 284
Kidder, R.E. 125
Kindswater, H.M. 232
King, G. 189 352 353
Kirchhoff, G. 107
Kirk, R.S. 281
Kirkendall effect 209
Kirkendall, E.O. 209
Kirkwood, J.G. 213
Kishimoto, A. 248 251
Kitchener, J.A. 48 49
Klug, A. 350
Knight, J.H. 31 125 126
Kokes, R.J. 244
Kreith, F. 312 313
Kreuzer, F. 350
Kruse, R.L. 329
Kubin, M. 53 269
Kubu, E.T. 349 350
Kuusinen, J. 211
Kwei, T.K. 257 261 262
Laidler, K.J. 213
LaMer, V.K. 310
Laminates 266—268
Laminates, time-lag 268 269
Lamm, O. 211
Landau, H.G. 315
Landis, F. 314 322
Langford, D. 26
Laplace transformation: definition 19
Laplace transformation: table of 377—379
Laplace transformation: use of 20—24
Lazaridis, A. 314
Lebedev, Ya. S. 350
Lee, C F. 108 109 110 126 169 382
Levine, J.D. 269
Lin Hwang, J. 251
Line source 29
Linear diffusion coefficients 118—124
Linear diffusion coefficients, common points of intersection 176—179
Linear diffusion coefficients, concentration curves 161 169 171 172
Linear diffusion coefficients, correction factors applied to sorption and desorption data 241—242
Linear diffusion coefficients, sorption and desorption curves 179 180
Lloyd, W.G. 254 255 257 262
Long, F.A. 180 244 255 256 257 264
Lurie, J. 55
Macey, H.H. 62 81
Machin, D. 223 251
Mandelkern, L. 180
March, H. 57
Martin, T.R. 70
Mass flow see Bulk flow
Matano's method 230—238
Matano, C. 232 236 237 238 239
Mathematical solutions See also Methods of solution Numerical
Mathematical solutions: for cylinder 69—87 200—202
Mathematical solutions: for infinite and semi-infinite media 28—43 195
Mathematical solutions: for plane sheet 44—68 195—200
Mathematical solutions: for simultaneous transfer of heat and moisture 352—367
Mathematical solutions: for sphere 89—103
Mathematical solutions: for variable diffusion coefficients 160—202
Mathematical solutions: types of 11
Mathematical solutions: with chemical reaction 326—351
Mathematical solutions: with moving boundary 286—325
Maxwell, C. 271 272
Mayers, D.F. 158
Mazur, P. 262
McKay, A.T. 49
McKerrow, N.W. 73
Meadley, C.K. 316
Mean diffusion coefficient: from initial rates of sorption and desorption 244—246
Mean diffusion coefficient: from sorption and desorption half-times 239—244
Mean diffusion coefficient: from steady-state flow 46 69 90
Meares, P. 224 225 257
Mehl, R.F. 232
Membranes 44—47 49—53 69—71 84 99—101 160—164 191—193
Membranes: asymmetrical 165
Membranes: immobilizing reaction 230
Membranes: non-homogeneous 228—230
Membranes: time-lags in concentration and time dependent membranes 222—228
Methods of solution, constant diffusion coefficient: Laplace transform 19—24
Methods of solution, constant diffusion coefficient: other methods 25—26
Methods of solution, constant diffusion coefficient: product solutions 24—25
Methods of solution, constant diffusion coefficient: reflection and superposition 11—17
Methods of solution, constant diffusion coefficient: separation of variables 17—18
Methods of solution, discontinuous diffusion coefficients 287—298
Methods of solution, variable diffusion coefficients: concentration dependent 105—136
Methods of solution, variable diffusion coefficients: exact formal solutions 125—129
Methods of solution, variable diffusion coefficients: exponential and linear diffusion coefficients 112—125
Methods of solution, variable diffusion coefficients: Goodman's integral method 129
Methods of solution, variable diffusion coefficients: method of moments 129—135 or-
Methods of solution, variable diffusion coefficients: numerical methods 137—159
Methods of solution, variable diffusion coefficients: thogonal functional approximations 135—136
Methods of solution, variable diffusion coefficients: time dependent 104—105
Meyer, O.E. 209
Michaels, A.S. 269
Mills, R. 214
Milne-Thomson, L.M. 14 34
Mitchell, A.R. 138 152 153 158 159
Moisture, uptake by wool see Heat and moisture
Moments, method of 129—135
Moore, R.S. 252
Motz, H. 153 155 159
Moving boundary: associated with discontinuous diffusion coefficients 287—298
Moving boundary: Danckwert's general treatment 298—308
Moving boundary: finite-difference methods 313—323
Moving boundary: Goodman's integral method 312—313
Moving boundary: isotherm migration method 323—324
Moving boundary: Neumann's method 290
Moving boundary: other methods 325
Moving boundary: practical examples 286 303—307
Moving boundary: proximation 310—312
Moving boundary: radial phase growth 308—310
Moving boundary: steady state 0
Muehlbauer, J.C. 287
Murray, W.D. 314 322
Mutual diffusion coefficient 205 214
Myers, G.E. 159
Neale, S.M. 238
Nelson, P.M. 52
Neumann, F. 108
Newman, A.B. 60 80 96
Newns, A.C. 44 259
Newton's law of cooling 9
Nicholas, C.H. 284
Nicholson, D. 230
Nicolson, P. 144 145 147 151 350
Nomograms, for diffusion of heat and moisture 365 366
| Non-dimensional variables 138—139 369
Non-Fickian diffusion 254—265
Nooney, G.C. 192
Numerical methods 137—159
Odian, G. 329
Olcer, N.Y. 82
Oldland, S.R.D. 63 252 253
Olson, F.C. 49
Orthogonal functions, approximate solutions 135—136
Ott, R.J. 351
Pajaczkowski, A. 63 252 253
Palmer, D.G. 268 269
Papamichael, N. 159 282
Parallelepiped, diffusion in with irreversible reaction 333
Parallelepiped, rectangular 3
Park, G.S. 180 191 195 214 230 239 240 242 253 255 256 257 260 373
Parker, I.B. 65 66 67 68
Parlange, J.-Y. 125
Particulates: mathematical models of two-phase systems 270—285
Pasternak, R.A. 216
Pattle, R.E. 124 211 213
Paul, D.R. 53 222 230
Peaceman, D.W. 151
Pekeris, C.L. 312
Permeability constant 45 51
Peterlin, A. 165
Peters, G.R. 48
Peterson, J.D. 232
Petropoulos, J.H. 227 228 229 230 255 259 350
Phahle, R.D. 324
Philip, J.R. 31 107 108 111 112 125 126 127 128 129 215 216 388
Picard, E. 125
Plane sheet, composite membrane 46—47
Plane sheet, concentration distributions 160—164
Plane sheet, non-steady state see also Sorption and desorption curves and measurement
Plane sheet, non-steady state: approximate two-dimensional solutions 65—68
Plane sheet, non-steady state: constant surface concentrations 47—53
Plane sheet, non-steady state: constant surface flux 61—62
Plane sheet, non-steady state: edge effects 64—65
Plane sheet, non-steady state: from a stirred solution 56—60
Plane sheet, non-steady state: impermeable surfaces 62—64
Plane sheet, non-steady state: surface evaporation 60—61
Plane sheet, non-steady state: swelling sheet 239
Plane sheet, non-steady state: temperature changes accompanying diffusion 367—374
Plane sheet, non-steady state: variable surface concentration 53—56
Plane sheet, non-steady state: with surface skin 196—200
Plane sheet, steady state 44—46
Plane source 11 13
Pleshanov, A.S. 313
Point source 28—29 124—125
Pollack, H.O. 223
polystyrene see Chloroform in polystyrene
Poots, G. 313
Porter, A.W. 70
Prager, S. 180 212 234 236 238 244 246 247
Prigogine, I. 262
Product solutions 24—25
Rachford, H.H. 151
Radio-tracer methods 58 63 212—214 252—253
Random walk 1
Rayleigh, Lord 272
Reese, C.E. 349 350
Reflection and superposition 11—17
Reiss, A. 310
Relationships between different coefficients 207—214
Reversible reaction see Chemical reaction and diffusion
Richman, D. 256 264
Rideal, E.K. 31
Rieck, R. 308
Robinson, C. 209 257
Rogers, C.E. 165 255 256 257
Rogers, M.G. 64 65
Rogers, W.A. 51 52
Romie, F.E. 312
Roughton, F.J.W. 350
Roussis, P.P. 227 228 229 230 259 350
Rubenstein, L.T. 287
Runge, I. 272
Ruthven, D.M. 176
Rys, P. 351
Sacks, D. 284
Saddington, K. 49
Saito, Y. 42 43
Sanders, R.W. 315
Sankar, R. 153 159
Sarjant, R.J. 107 149 157
Schimscheimer, J.F. 216
Schulz, O.T. 49
Seitz, F. 212
Self diffusion 58 212—214
Semi-infinite media: composite 41—42
Semi-infinite media: concentration dependent diffusion in 105—124
Semi-infinite media: concentration distributions 171—176
Semi-infinite media: extended source 16
Semi-infinite media: plane source 13
Semi-infinite media: prescribed surface concentration 32—35
Semi-infinite media: square root relationship 37
Semi-infinite media: surface evaporation 35—37
Semi-infinite media: Weber's disc 42—43
Separation of variables 17—18 71
Severn, R.T. 313
Shampine, L.F. 122 169
Sibbett, W.L. 274
Sigmoid sorption curves see Inflexion in sorption curve
Singularities 152—157
Skin: on cylinder 82 200—202
Skin: on plane sheet 64 195—200
Skin: on semi-infinite medium 41
Skin: on sphere 97
Sladek, K.J. 329
Slichter, L.B. 312
Smith, G.D. 138 143 144 145 146 147 152 158 159 389
Smith, P.J.A. 211 213
Solubility 44 51 224—225 227 228 230
Sorption and desorption curves for various diffusion coefficients: diffusion coefficient exhibiting a maximum 184
Sorption and desorption curves for various diffusion coefficients: discontinuous diffusion coefficient 288 289 296
Sorption and desorption curves for various diffusion coefficients: exponential concentration dependence 181
Sorption and desorption curves for various diffusion coefficients: linear concentration dependence 179 180
Sorption and desorption curves: correspondence principle 173
Sorption and desorption curves: effect of surface skin 195—200
Sorption and desorption curves: general properties of 179—191
Sorption and desorption curves: in cylinder 75 77 79 80 83 201 328
Sorption and desorption curves: in plane sheet 54 55 59 61 196 347 348 349
Sorption and desorption curves: in semiinfinite medium 33 38 42 196 335
Sorption and desorption curves: in sphere 93 94 95 97 99
Sorption and desorption curves: temperature change accompanying sorption 353 367
Spacek, P. 53 269
Spalding, D.B. 315
Sphere, hollow, non-steady state: constant surface concentration 98—99
Sphere, hollow, non-steady state: flow through wall and time-lag 99—101
Sphere, hollow, non-steady state: surface evaporation 101—102
Sphere, hollow, steady state 89—90 160—164
Sphere, hollow, steady state, influence of wall thickness on rate of flow 90
Sphere, non-steady state: composite 97
Sphere, non-steady state: constant surface concentration 90—91
Sphere, non-steady state: finite-difference formulae 148—149
Sphere, non-steady state: in stirred solution 93—96
Sphere, non-steady state: new variable rC 89 102
Sphere, non-steady state: variable surface concentration 91—93
Sphere, non-steady state: with constant surface flux 96—97
Sphere, non-steady state: with irreversible reaction 332 334
Sphere, non-steady state: with surface evaporation 96
Sphere, region bounded internally by 102—103
Sphere, steady state with irreversible reaction 337
Spherical source 29
Spirer, L. 52
Square-root relationship 37 179
Standing, H.A. 329
Stannett, V. 255 355
Steady-state method, of measuring the diffusion coefficient and its concentration dependence 44 218—221
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