Analytical methods for heat transfer and fluid flow problems:
Gespeichert in:
Beteilige Person: | |
---|---|
Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
Berlin [u.a.]
Springer
2004
|
Schlagwörter: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014592739&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Beschreibung: | Literaturverz. S. 247 - 256 |
Umfang: | XX, 258 S. graph. Darst. |
ISBN: | 3540222472 |
Internformat
MARC
LEADER | 00000nam a2200000 c 4500 | ||
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024 | 3 | |a 9783540222477 | |
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100 | 1 | |a Weigand, Bernhard |d 1962- |e Verfasser |0 (DE-588)115406662 |4 aut | |
245 | 1 | 0 | |a Analytical methods for heat transfer and fluid flow problems |c Bernhard Weigand |
264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
300 | |a XX, 258 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
500 | |a Literaturverz. S. 247 - 256 | ||
650 | 4 | |a Fluid mechanics | |
650 | 4 | |a Heat |x Transmission | |
650 | 4 | |a Mechanics, Analytic | |
650 | 4 | |a Separation of variables | |
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Datensatz im Suchindex
DE-BY-TUM_call_number | 0702 MTA 309f 2009 A 2519 |
---|---|
DE-BY-TUM_katkey | 1680526 |
DE-BY-TUM_location | 07 |
DE-BY-TUM_media_number | 040071197694 |
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adam_text | CONTENTS LIST OF
SYMBOLS....................................................................................................
XV LIST OF COPYRIGHTED FIGURES
.............................................................................XIX
1
INTRODUCTION.....................................................................................................
.. ..1
PROBLEMS.........................................................................................................
9 2 LINEAR PARTIAL DIFFERENTIAL EQUATIONS
............................................................. 11 2.1
CLASSIFICATION OF SECOND-ORDER PARTIAL DIFFERENTIAL EQUATIONS
.................. 11 2.2 CHARACTER OF THE SOLUTIONS FOR THE PARTIAL
DIFFERENTIAL EQUATIONS .............. 19 2.2.1 PARABOLIC SECOND-ORDER
EQUATIONS ..................................................... 19 2.2.2
ELLIPTIC SECOND-ORDER EQUATIONS
........................................................ 21 2.2.3
HYPERBOLIC SECOND-ORDER EQUATIONS
.................................................. 23 2.3 SEPARATION OF
VARIABLES
..............................................................................
24 2.3.1 ONE-DIMENSIONAL TRANSIENT HEAT CONDUCTION IN A FLAT
PLATE............. 24 2.3.2 STEADY-STATE HEAT CONDUCTION IN A
RECTANGULAR PLATE........................ 31 2.3.3 SEPARATION OF
VARIABLES FOR THE GENERAL CASE OF A LINEAR SECOND- ORDER PARTIAL
DIFFERENTIAL
EQUATION..............................................................
37
PROBLEMS.......................................................................................................
39 3 HEAT TRANSFER IN PIPE AND CHANNEL FLOWS (PARABOLIC PROBLEMS)
................ 43 3.1 HEAT TRANSFER IN PIPE AND CHANNEL FLOWS WITH
CONSTANT WALL
TEMPERATURE......................................................................................................
43 3.1.1 VELOCITY DISTRIBUTION OF HYDRODYNAMICALLY FULLY DEVELOPED PIPE
AND CHANNEL
FLOWS..............................................................................................
44 3.1.2 THERMAL ENTRANCE SOLUTIONS FOR CONSTANT WALL TEMPERATURE
............ 46 PROPERTIES OF THE STURM-LIOUVILLE
SYSTEM.................................................... 50 3.2
THERMAL ENTRANCE SOLUTIONS FOR AN ARBITRARY WALL TEMPERATURE
DISTRIBUTION
.......................................................................................................
66 3.3 FLOW AND HEAT TRANSFER IN AXIALLY ROTATING PIPES WITH CONSTANT
WALL HEAT FLUX
...................................................................................................................
69 3.3.1 VELOCITY DISTRIBUTION FOR THE HYDRODYNAMICALLY FULLY DEVELOPED
FLOW IN AN AXIAL ROTATING
PIPE....................................................................
72 3.3.2 THERMAL ENTRANCE SOLUTION FOR CONSTANT WALL HEAT
FLUX................... 75
PROBLEMS.......................................................................................................
83 XII CONTENTS 4 ANALYTICAL SOLUTIONS FOR STURM - LIOUVILLE SYSTEMS
WITH LARGE EIGENVALUES
...........................................................................................................
87 4.1 HEAT TRANSFER IN TURBULENT PIPE FLOW WITH CONSTANT WALL
TEMPERATURE 103 4.2 HEAT TRANSFER IN AN AXIALLY ROTATING PIPE WITH
CONSTANT WALL
TEMPERATURE....................................................................................................
109 4.3 ASYMPTOTIC EXPRESSIONS FOR OTHER THERMAL BOUNDARY CONDITIONS
.......... 113
PROBLEMS.....................................................................................................
115 5 HEAT TRANSFER IN DUCT FLOWS FOR SMALL PECLET NUMBERS (ELLIPTIC
PROBLEMS)..............................................................................................
117 5.1 HEAT TRANSFER FOR CONSTANT WALL TEMPERATURES FOR X * 0 AND X
0 ........ 120 5.1.1 HEAT TRANSFER IN LAMINAR PIPE AND CHANNEL FLOWS FOR
SMALL PECLET NUMBERS
.....................................................................................................
131 5.1.2 HEAT TRANSFER IN TURBULENT PIPE AND CHANNEL FLOWS FOR SMALL
PECLET NUMBERS
.....................................................................................................
138 5.2 HEAT TRANSFER FOR CONSTANT WALL HEAT FLUX FOR X * 0 AND X 0
................ 142 5.2.1 HEAT TRANSFER IN LAMINAR PIPE AND CHANNEL
FLOWS FOR SMALL PECLET NUMBERS
.....................................................................................................
147 5.2.2 HEAT TRANSFER IN TURBULENT PIPE AND CHANNEL FLOWS FOR SMALL
PECLET NUMBERS
.....................................................................................................
150 5.3 RESULTS FOR HEATING SECTIONS WITH A FINITE
LENGTH................................... 153 5.3.1 PIECEWISE CONSTANT
WALL TEMPERATURE ............................................. 154 5.3.1
PIECEWISE CONSTANT WALL HEAT
FLUX.................................................. 157 5.4
APPLICATION OF THE SOLUTION METHOD TO RELATED PROBLEMS
....................... 159
PROBLEMS.....................................................................................................
161 6 NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
..................................................... 165 6.1 THE
METHOD OF SEPARATION OF VARIABLES
................................................... 165 6.2
TRANSFORMATIONS RESULTING IN LINEAR PARTIAL DIFFERENTIAL EQUATIONS
....... 172 6.3 FUNCTIONAL RELATIONS BETWEEN DEPENDENT VARIABLES
............................... 174 6.3.1 INCOMPRESSIBLE FLOW OVER A
HEATED FLAT PLATE ................................. 174 6.3.2
COMPRESSIBLE FLOW OVER A FLAT, HEATED
PLATE................................... 177 6.4 SIMILARITY
SOLUTIONS..................................................................................
179 6.4.1 SIMILARITY SOLUTIONS FOR A TRANSIENT HEAT CONDUCTION
PROBLEM....... 179 6.4.2 SIMILARITY SOLUTIONS OF THE BOUNDARY LAYER
EQUATIONS FOR LAMINAR FREE CONVECTION FLOW ON A VERTICAL FLAT
PLATE.......................................... 186 6.4.3 SIMILARITY
SOLUTIONS OF THE COMPRESSIBLE BOUNDARY LAYER
EQUATIONS....................................................................................................
192
PROBLEMS.....................................................................................................
198 APPENDIX A: THE FULLY DEVELOPED VELOCITY PROFILE FOR TURBULENT DUCT
FLOWS....................................................................................................................
203 APPENDIX B: THE FULLY DEVELOPED VELOCITY PROFILE IN AN AXIALLY
ROTATING PIPE
......................................................................................................................
215 CONTENTS XIII APPENDIX C: A NUMERICAL SOLUTION METHOD FOR
EIGENVALUE PROBLEMS ........ 227 C.1 NUMERICAL
TOOLS.......................................................................................
229 APPENDIX D: DETAILED DERIVATION OF CERTAIN PROPERTIES OF THE METHOD
FOR SOLVING THE EXTENDED GRAETZ
PROBLEMS............................................................ 235
D.1 SYMMETRY OF THE MATRIX OPERATOR L %
..................................................... 235 D.2 THE
EIGENFUNCTIONS CONSTITUTE A SET OF ORTHOGONAL FUNCTIONS..............
236 D.3 A DETAILED DERIVATION OF EQ. (5.31) AND EQ.
(5.61)................................ 237 D.4 SIMPLIFICATION OF THE
EXPRESSION FOR THE TEMPERATURE DISTRIBUTION (FOR CONSTANT WALL
TEMPERATURE)
..........................................................................
239 D.5 SIMPLIFICATION OF THE EXPRESSION FOR THE TEMPERATURE
DISTRIBUTION (FOR CONSTANT WALL HEAT FLUX)
...............................................................................
240 D.6 THE VECTOR NORM 2 J * R
..........................................................................
243 REFERENCES
...........................................................................................................
247 INDEX
....................................................................................................................
257
|
any_adam_object | 1 |
author | Weigand, Bernhard 1962- |
author_GND | (DE-588)115406662 |
author_facet | Weigand, Bernhard 1962- |
author_role | aut |
author_sort | Weigand, Bernhard 1962- |
author_variant | b w bw |
building | Verbundindex |
bvnumber | BV021271626 |
callnumber-first | Q - Science |
callnumber-label | QC320 |
callnumber-raw | QC320 |
callnumber-search | QC320 |
callnumber-sort | QC 3320 |
callnumber-subject | QC - Physics |
classification_rvk | UG 2500 |
classification_tum | MTA 700f MTA 309f MTA 330f |
ctrlnum | (OCoLC)56492273 (DE-599)BVBBV021271626 |
dewey-full | 536/.2 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 536 - Heat |
dewey-raw | 536/.2 |
dewey-search | 536/.2 |
dewey-sort | 3536 12 |
dewey-tens | 530 - Physics |
discipline | Maschinenbau / Maschinenwesen Physik Mathematik |
format | Book |
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id | DE-604.BV021271626 |
illustrated | Illustrated |
indexdate | 2024-12-20T12:32:05Z |
institution | BVB |
isbn | 3540222472 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014592739 |
oclc_num | 56492273 |
open_access_boolean | |
owner | DE-703 DE-573 DE-1050 DE-91G DE-BY-TUM DE-634 DE-83 DE-92 |
owner_facet | DE-703 DE-573 DE-1050 DE-91G DE-BY-TUM DE-634 DE-83 DE-92 |
physical | XX, 258 S. graph. Darst. |
publishDate | 2004 |
publishDateSearch | 2004 |
publishDateSort | 2004 |
publisher | Springer |
record_format | marc |
spellingShingle | Weigand, Bernhard 1962- Analytical methods for heat transfer and fluid flow problems Fluid mechanics Heat Transmission Mechanics, Analytic Separation of variables Wärmeübertragung (DE-588)4064211-2 gnd Kanalströmung (DE-588)4137410-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Rohrströmung (DE-588)4050412-8 gnd Analytische Lösung (DE-588)4313842-1 gnd |
subject_GND | (DE-588)4064211-2 (DE-588)4137410-1 (DE-588)4044779-0 (DE-588)4050412-8 (DE-588)4313842-1 |
title | Analytical methods for heat transfer and fluid flow problems |
title_auth | Analytical methods for heat transfer and fluid flow problems |
title_exact_search | Analytical methods for heat transfer and fluid flow problems |
title_full | Analytical methods for heat transfer and fluid flow problems Bernhard Weigand |
title_fullStr | Analytical methods for heat transfer and fluid flow problems Bernhard Weigand |
title_full_unstemmed | Analytical methods for heat transfer and fluid flow problems Bernhard Weigand |
title_short | Analytical methods for heat transfer and fluid flow problems |
title_sort | analytical methods for heat transfer and fluid flow problems |
topic | Fluid mechanics Heat Transmission Mechanics, Analytic Separation of variables Wärmeübertragung (DE-588)4064211-2 gnd Kanalströmung (DE-588)4137410-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Rohrströmung (DE-588)4050412-8 gnd Analytische Lösung (DE-588)4313842-1 gnd |
topic_facet | Fluid mechanics Heat Transmission Mechanics, Analytic Separation of variables Wärmeübertragung Kanalströmung Partielle Differentialgleichung Rohrströmung Analytische Lösung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014592739&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT weigandbernhard analyticalmethodsforheattransferandfluidflowproblems |
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