Continuum Methods of Physical Modeling: Continuum Mechanics, Dimensional Analysis, Turbulence

Front Cover
Springer Science & Business Media, Jan 20, 2004 - Science - 635 pages
This book is a considerable outgrowth of lecture notes on Mechanics of en vironmentally related systems I, which I hold since more than ten years in the Department of Mechanics at the Darmstadt University of Technology for upper level students majoring in mechanics, mathematics, physics and the classical engineering sciences. These lectures form a canon of courses over three semesters in which I present the foundations of continuum physics (first semester), those of physical oceanography and limnology (second semester) and those of soil, snow and ice physics in the geophysical context (third semester). The intention is to build an understanding of the mathemati cal foundations of the mentioned geophysical research fields combined with a corresponding understanding of the regional, but equally also the global, processes that govern the climate dynamics of our globe. The present book contains the material (and extensions of it) of the first semester; it gives an introduction into continuum thermomechanics, the methods of dimensional analysis and turbulence modeling. All these themes belong today to the every day working methods of not only environmental physicists but equally also those engineers, who are confronted with continuous systems of solid and fluid mechanics, soil mechanics and generally the mechanics and thermody namics of heterogeneous systems. The book addresses a broad spectrum of researchers, both at Universities and Research Laboratories who wish to fa miliarize themselves with the methods of "rational" continuum physics, and students from engineering and classical continuum physics.
 

Contents

II
9
III
17
IV
23
VI
24
VII
25
VIII
27
IX
30
X
31
XCVI
299
XCVII
306
XCVIII
311
XCIX
314
C
315
CI
339
CII
340
CIII
342

XI
32
XII
34
XIII
36
XIV
51
XV
55
XVI
58
XVII
59
XIX
61
XX
62
XXI
63
XXII
64
XXIII
65
XXIV
69
XXV
72
XXVI
75
XXVII
76
XXVIII
77
XXIX
81
XXX
93
XXXI
94
XXXII
98
XXXIII
101
XXXIV
103
XXXV
106
XXXVI
110
XXXVIII
115
XXXIX
118
XL
121
XLII
123
XLIII
125
XLIV
126
XLV
128
XLVI
131
XLVII
139
XLVIII
140
XLIX
142
LI
145
LII
148
LV
152
LVI
153
LVII
155
LVIII
158
LIX
160
LXI
162
LXII
163
LXIII
166
LXIV
168
LXVI
170
LXVII
173
LXVIII
175
LXIX
176
LXX
181
LXXI
187
LXXII
191
LXXIII
193
LXXIV
194
LXXV
195
LXXVI
202
LXXVII
204
LXXVIII
207
LXXIX
208
LXXX
215
LXXXI
220
LXXXII
223
LXXXIII
243
LXXXIV
247
LXXXV
249
LXXXVI
250
LXXXVII
251
LXXXVIII
253
LXXXIX
256
XC
263
XCI
272
XCII
273
XCIII
285
XCIV
289
XCV
297
CIV
345
CV
348
CVI
351
CVII
358
CVIII
360
CIX
363
CX
368
CXI
371
CXII
386
CXIII
388
CXIV
393
CXV
395
CXVI
401
CXVII
404
CXVIII
414
CXX
423
CXXI
425
CXXII
430
CXXIII
431
CXXIV
433
CXXV
437
CXXVI
441
CXXVIII
444
CXXIX
447
CXXXI
448
CXXXII
449
CXXXIII
450
CXXXIV
452
CXXXV
453
CXXXVI
457
CXXXVII
459
CXXXVIII
461
CXXXIX
463
CXL
465
CXLI
468
CXLII
469
CXLIII
470
CXLIV
483
CXLV
484
CXLVI
487
CXLVII
489
CXLVIII
491
CXLIX
497
CL
500
CLII
503
CLIV
504
CLV
506
CLVI
510
CLVII
514
CLVIII
515
CLIX
523
CLX
526
CLXI
529
CLXII
534
CLXIII
550
CLXIV
555
CLXV
556
CLXVI
559
CLXVII
561
CLXIX
563
CLXX
566
CLXXI
570
CLXXII
572
CLXXIII
578
CLXXIV
580
CLXXV
582
CLXXVI
584
CLXXVII
586
CLXXVIII
592
CLXXX
595
CLXXXI
597
CLXXXII
598
CLXXXIII
599
CLXXXIV
603
CLXXXV
615
CLXXXVI
619
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