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Carslaw H.S. — Conduction of Heat in Solids
Carslaw H.S. — Conduction of Heat in Solids



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Название: Conduction of Heat in Solids

Автор: Carslaw H.S.

Аннотация:

This classic account describes the known exact solutions of problems of heat flow, with detailed discussion of all the most important boundary value problems.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: second

Год издания: 1959

Количество страниц: 510

Добавлена в каталог: 17.02.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Ackermaxm, G.      392
Adams, E. Q.      430
Adams, L. H.      63 104 185 254
Adler, F.      248 296 339
Albrecht, F.      262
Allan, D. W.      245
Allen, D. N. de G.      393 477 478
Amundson, N. R.      395
Anderson, J. S.      97
Andreae, C.      426
Angell, M. F.      191
Angstr${\o}$m, A. J.      136
Anisotropic solid      3
Anisotropic solid, differential equation of conduction of heat in      41-44
Anisotropic solid, flow in thin plates of      43-46
Anisotropic solid, flux in      38
Anisotropic solid, flux vector in      38 43-49
Anisotropic solid, fundamental assumptions      38
Anisotropic solid, instantaneous point source in      257
Anisotropic solid, principal axes of conductivity in      42
Anisotropic solid, variation of thermal conductivity with direction in      46-49
Anzelius, A.      393
Appell, P.      52
Archer      192
Aris, R.      136
Austin, J. B.      104
Automatic temperature control      407-12
Avrami      168
Awbery, J. H.      12 193 203 246 334 446 451
Ayrton, W. E.      239
B$\hat{o}$cher      39
Babbitt, J. D.      28
Bachmann, H.      124
Baerwald, H. G.      155
Baker, H. D.      470
Barnes, E. W.      251
Barnes, J. L.      298
Barratt      140
Barrer, R.      23 28 91 246 314 403
Bartels, R. C. F.      32
Barus, C.      87
Bateman, H.      248 249 251 441
Beglinger, W.      228
Bell, R. P.      319
Bellman, R.      375
Bend in a wall, steady flow near      445 453
Benfield, A. E.      83 387
Berg, O.      150
Berger, F.      184 227
Berggren, W. P.      336
Besant, W. H.      427
Bessel functions, collection of useful results      488-90
Betti, E.      355
Bierwirth, R. A.      12
Binnie, A.      141
Birch, F.      3 83 85 86 253 424
Birkhoff, G.      38
Bishop, F. L.      231
Blackwell, J. H.      23 339 345
Blanch, G.      476
Blevin, W. R.      294
Blok, H.      269
Bogert, B. P.      334
Boltzmann, L.      89
Boltzmann’s transformation      89
Book, P.      419
Booth, H.      451
Bosanquet, N. H.      136
Bossolasco      429
Boundary conditions for surface diffusion      23
Boundary conditions, at the surface of separation of two media      23
Boundary conditions, mathematical interpretation of      27
Boundary conditions, numerical expression of      474-5
Boundary conditionsat the surface of a conductor      18-24 323
Bourne, D. E.      412
Boussinesq, J.      13 38
Bowman, F.      442
Bridgman, P. W.      49 140 190
Brinkley, S. R.      395
British thermal, unit      3
Bromwich, T. J. I’a.      235 297 298 319 325
Brousseau, R.      471
Brown, G. H.      12
Brown, H. K.      462
Brown, P. W.      141 168
Brown, R. G.      407
Brown, R. L.      112
Brunt, D.      75 77 82 412
Bryan, G. H.      359
Buchholz, H.      170 334
Bueche, W.      141
Buettner, K.      345
Bullard, Sir E. C.      80 83 86 254 342 424
Burgess, J.      482
Bush, V.      155
Byerly, W. E.      248 249
C.H.      x 54 94 204 229 237 298 357
Calder, K, L.      412
Callendar, A.      153 411
Calorie      2
Cambell, G. A.      299 456
Cameron, R. H.      266
Caquot, A.      109
Carslaw, H. S.      29 88 281 297 298 303 319 327 330 332 335 337 355 359 380 383 385 400 404 480
Carson, J. R.      298
Carsten, H. R. F.      331
Carter, F. W.      441 442
Casimir, H. B. G.      41
Castoldi, L.      446
Chadwick, J.      86
Chambr$\acute{e}$, P. L.      294
Change of state, case of a melting range      289
Change of state, case of supercooled liquid      287
Change of state, change of volume on change of state      290
Change of state, conditions at the moving boundary between two phases      284
Change of state, exact solutions for one-variable problems      285-91
Change of state, expression as a moving source problem      293
Change of state, freezing of water      286
Change of state, numerical methods      476-7
Change of state, other boundary conditions      291- 3
Change of state, solidification of magma      288-9
Change of state, solutions in cylindrical and spherical coordinates      294-6
Change of stategeneral discussion      282-3
Chao      265 270
Chao, N. C.      23
Charny, I. A.      451
Chivers, E. W.      179
Christoffel, E. G.      441
Church, A. H.      203
Churchill, R. V.      32 38 88 298 303 319 480
Circle, steady flow between concentric circles      189 436
Circle, steady flow between eccentric circles      436-9 449-51
Circle, steady two-dimensional flow in a circle with arbitrary surface temperature      434-6
Circular cylinder of perfect conductor, region bounded internally by      341-5
Circular cylinder, infinite (general case)continuous sources in      385
Circular cylinder, infinite (general case)Green’s functions for      376-8
Circular cylinder, infinite (general case)steady temperature      208-10 423
Circular cylinder, infinite (general case)steady temperature in moving cylinder      209
Circular cylinder, infinite (general case)variable temperature with various boundary conditions      210-13 376-8
Circular cylinder, infinite (radial flow) with other boundary conditions      203 328-31 369 403
Circular cylinder, infinite (radial flow) with prescribed surface temperature      198-201 327-8 330
Circular cylinder, infinite (radial flow) with radiation at      4
Circular cylinder, infinite (radial flow), beat production in      204 330
Circular cylinder, infinite (radial flow), steady periodic temperature      193
Circular cylinder, infinite (radial flow), steady temperature in      189-93
Circular cylinder, infinite (radial flow), the surface      201-3 329 331 369
Circular cylinder, infinite (radial flow)with arbitrary initial temperature and zero surface temperature      194-8 368
Circular cylinder, infinite, hollow with arbitrary initial temperature and various boundary conditions      370 380
Circular cylinder, infinite, hollow with zero initial temperature and various boundary conditions      207 332-4
Circular cylinder, infinite, hollow, steady temperature      189-93
Circular cylinder, infinite, hollowwith arbitrary initial temperature and zero surface temperature      205-8
Circular cylinder, region bounded internally by with arbitrary initial temperature and various surface conditions, radial flow      370
Circular cylinder, region bounded internally by with constant initial temperature and zero surface temperature      334-6
Circular cylinder, region bounded internally by with other surface conditions      338-9 341-3
Circular cylinder, region bounded internally by with radiation at the surface      336
Circular cylinder, region bounded internally by, general case      375
Circular cylinders, finite and semi-infinite, determination of conductivity from      228
Circular cylinders, finite and semi-infinite, steady temperature      217-25 423
Circular cylinders, finite and semi-infinite, variable temperature, eases in which the solution can be expressed as a product      34 225-8 339
Circular cylinders, finite and semi-infinite, variable temperature, general case      228 380 403 418-19
Clarke, I. E.      121 335
Clarke, L. N.      112
Clemmow      484
Cockcroft, J. D.      170 442
Comenetz, G.      334
Composite solids with cylindrical surface of separation      346-7 399
Composite solids, boundary conditions at surface of separation      23 398
Composite solids, composite cylinder      190
Composite solids, composite cylinder, steady periodic temperature      193-4
Composite solids, composite cylinder, variable temperature      346
Composite solids, composite slab of several layers, steady temperature      92
Composite solids, composite sphere, steady temperature      232
Composite solids, composite sphere, variable temperature      361-2
Composite solids, composite wire, steady temperature      150
Composite solids, infinite composite solid of two media, with plane surface of separation      87-89 363-4
Composite solids, semi-infinite composite solid      319-326 365
Composite solids, slab of two layers, variable temperature      323-4 365
Composite solids, steady periodic temperature      309-12
Composite solids, variable temperature      326
Composite solidsreferences      319
Computation laboratory of Harvard University      336
Comrie, L. J.      482
Concer, D, B.      390
Conduction of heat, fundamental hypothesis in isotropic solid      7
Conduction of heat, in anisotropic solid      38
Conductivity coefficients in anisotropic solid      39
Conductivity coefficients in anisotropic solid, symmetry of      40-43
Conductivity, thermal, definition      2
Conductivity, thermal, dimensions      3
Conductivity, thermal, numerical values of      497
Conductivity, thermal, summary of experimental methods for determining      25
Conductivity, thermal, temperature variation of      2 150
Conductivity, thermal, variation with direction in anisotropic solid      46-49
Conductors in parallel, heat flow through      398-9
Cone, Green’s functions for      383-5
Cone, variable temperature      261-3 383-5 420
Conjugate functions, general theory      431-441 447-9
Conjugate functions, general theory, special transformations      433-47
Contact resistance      (see also under Surface skin Radiation)
Contact resistance at a plane boundary      20 23 88 93 111 364 403 415
Continuous sources of heat, application to heat production along a line in a cylinder      385
Continuous sources of heat, application to heat production in an infinite medium      265
Continuous sources of heat, application to surface heating      263-5
Continuous sources of heat, line source      261-2
Continuous sources of heat, plane source      262
Continuous sources of heat, point source      261
Continuous sources of heat, spherical surface source      263
Continuous sources of heat, steady temperature due to sources and sinks in finite regions      421-3
Contour integrals, use for solving problems on conduction of heat      479
Convection of heat      1
Convection of heat, numerical values for      19-21
Cook, H. F.      80
Cooke, J. C.      464
Cooling fins, on a flat surface      141-2 168 180
Cooling fins, on a flat surface, round a cylinder      143 222
Cooper, J. L. B.      38
Copple, C.      405 155
Craggs, J. W.      213 419
Crandall, S. H.      41 474
Crank - Nicholson method      474
Crank, J.      12 28 91 283 474 476 477
Cranz, C.      149
Crystal classes, conductivity coefficients in      40-41
Curtis, F. W.      12
Cutting, grinding, and sliding temperatures      266-70
Cylindrical coordinate system, solids bounded by surfaces of the steady temperature      214-25 461-2
Cylindrical coordinate system, solids bounded by surfaces of the, steady temperature due to sources and sinks      423
Cylindrical coordinate system, solids bounded by surfaces of the, variable temperature      226-9 339 380 403 418-20
Czermak, P.      151
Dahl, O. G. C.      64 193
Danckwert, P. V.      28 33 283 291 407
Davey, N.      12
Davies, C. N.      28
Davies, D. R.      412
Davy, N.      442 446
Dawson, H. G.      484
De Morgan, A.      482
de Vries, D. A.      82 345 428
Delavault, H.      464
Dennis, S. C. R.      477
Despretfc, C.      135
Diesselhorst, H.      78 151
Differential equation of conduction of heat in isotropic solid      8
Differential equation of conduction of heat, elementary solutions of      50-52
Differential equation of conduction of heat, expressed in orthogonal curvilinear coordinates      15-17
Differential equation of conduction of heat, in a deformable medium      13-15
Differential equation of conduction of heat, in a medium whose thermal properties depend on the temperature      10 89-91
Differential equation of conduction of heat, in a moving medium      13-15 387-92
Differential equation of conduction of heat, in a rod with radiation from its surface      134-5
Differential equation of conduction of heat, in a wire heated by electric current      149-51
Differential equation of conduction of heat, in anisotropic and orthotropic solids      42
Differential equation of conduction of heat, in inhomogeneous solid      10 412
Differential equation of conduction of heat, in isotropic solid in which heat is generated      10 12 404- 7
Differential equation of conduction of heat, numerical methods for solution of      469-78
Differential equations related to the equation of conduction of heat      27-29
Diffusion      28
Diffusion, differential equation of      28
Diffusivity, definition and dimensions      9
Diffusivity, numerical values      497
Dimensionless parameters, occurrence of      121
Dini series      196
Dini series, integrals required in connexion with      196-8
Dini, V.      195
Dirichlet’s conditions      56
Doetsch, G.      37 298 309
Doublets      270-2 371
Dougall, J.      240
Douglas, J.      474
Dufton, A. F.      112
Duhamel, J. I. C.      13 30 38
Duhamel’s theorem      30-32
Duhamel’s theorem, expression of, in terms of Laplace transforms      301
Duncan, R.      151
Dusinberre, G.      436 477
Earthage of      85-87
Earthage of,      322
Earthage of, heat flux from      83
Earthage of, solidification of      253
Earthage of, temperatures within      78-80 84 87 253-
Earth’s crust, oscillations in temperature in      81-83
Earth’s crust, temperature gradient at surface      83
Ebeling, H.      149
Eckart, C.      14
Ede, A. J.      123
Edwards, F. S.      12
Electric cable, heating ofburied      344
Electric cable, heating ofburied, oil-filled      399
Electric transmission lines, differential equation      29
Electric transmission lines, use of in connexion with periodic flow of heat      69
ellipse      15
Ellipse, steady temperature in regions bounded by confocal ellipses and hyperbolas      439-40 452
Ellipsoid      15
Ellipsoid, steady flow in an infinite medium containing an ellipsoid of different conductivity      427
Ellis, C. D.      86
Emde, F.      206 262 482 483
Emmerich. C. L.      191 223
Emmons, H. W.      477
Encke, J. F.      482
Erd$\acute{e}$lyi, A.      299 337 457
Erk, S.      13 19 122 139
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