Analytical methods for heat transfer and fluid flow problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2015
|
| Edition: | 2. ed. |
| Series: | Mathematical engineering
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XXII, 310 S. graph. Darst. 24 cm |
| ISBN: | 3662465922 9783662465929 |
Staff View
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| 245 | 1 | 0 | |a Analytical methods for heat transfer and fluid flow problems |c Bernhard Weigand |
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Record in the Search Index
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CONTENTS
1 INTRODUCTION 1
2 LINEAR PARTIAL DIFFERENTIAL EQUATIONS 13
2.1 CLASSIFICATION OF SECOND-ORDER PARTIAL DIFFERENTIAL EQUATIONS. .
13
2.2 CHARACTER OF THE SOLUTIONS FOR THE PARTIAL DIFFERENTIAL
EQUATIONS 21
2.2.1 PARABOLIC SECOND-ORDER EQUATIONS 21
2.2.2 ELLIPTIC SECOND-ORDER EQUATIONS 23
2.2.3 HYPERBOLIC SECOND-ORDER EQUATIONS 24
2.3 SEPARATION OF VARIABLES 25
2.3.1 ONE-DIMENSIONAL TRANSIENT HEAT CONDUCTION IN A SLAB. . . 26
2.3.2 STEADY-STATE HEAT CONDUCTION IN A RECTANGULAR PLATE . 33
2.3.3 SEPARATION OF VARIABLES FOR THE GENERAL CASE
OF A LINEAR SECOND-ORDER PARTIAL DIFFERENTIAL EQUATION. 39
3 HEAT TRANSFER IN PIPE AND CHANNEL FLOWS (PARABOLIC PROBLEMS). . . 47
3.1 HEAT TRANSFER IN PIPE AND CHANNEL FLOWS WITH CONSTANT
WALL TEMPERATURE 47
3.1.1 VELOCITY DISTRIBUTION OF HYDRODYNAMICALLY FULLY
DEVELOPED PIPE AND CHANNEL FLOWS 48
3.1.2 THERMAL ENTRANCE SOLUTIONS FOR CONSTANT WALL
TEMPERATURE 50
3.2 THERMAL ENTRANCE SOLUTIONS FOR AN ARBITRARY WALL
TEMPERATURE DISTRIBUTION 70
3.3 FLOW AND HEAT TRANSFER IN AXIALLY ROTATING PIPES
WITH CONSTANT WALL HEAT FLUX 73
3.3.1 VELOCITY DISTRIBUTION FOR THE HYDRODYNAMICALLY
FULLY DEVELOPED FLOW IN AN AXIAL ROTATING PIPE 75
3.3.2 THERMAL ENTRANCE SOLUTION FOR CONSTANT WALL
HEAT FLUX 78
XIII
HTTP://D-NB.INFO/1066473382
XIV CONTENTS
4 ANALYTICAL SOLUTIONS FOR STURM-LIOUVILLE SYSTEMS WITH LARGE
EIGENVALUES 91
4.1 HEAT TRANSFER IN TURBULENT PIPE FLOW WITH CONSTANT WALL
TEMPERATURE 107
4.2 HEAT TRANSFER IN AN AXIALLY ROTATING PIPE WITH CONSTANT
WALL TEMPERATURE 112
4.3 ASYMPTOTIC EXPRESSIONS FOR OTHER THERMAL BOUNDARY
CONDITIONS 116
5 HEAT TRANSFER IN DUCT FLOWS FOR SMALL PECLET NUMBERS
(ELLIPTIC PROBLEMS) 121
5.1 HEAT TRANSFER FOR CONSTANT WALL TEMPERATURES
FOR X ^ 0 AND X 0 124
5.1.1 HEAT TRANSFER IN LAMINAR PIPE AND CHANNEL FLOWS
FOR SMALL PECLET NUMBERS 135
5.1.2 HEAT TRANSFER IN TURBULENT PIPE AND CHANNEL FLOWS
FOR SMALL PECLET NUMBERS 145
5.2 HEAT TRANSFER FOR CONSTANT WALL HEAT FLUX
FOR JR ^ 0 AND * 0 149
5.2.1 HEAT TRANSFER IN LAMINAR PIPE AND CHANNEL FLOWS
FOR SMALL PECLET NUMBERS 154
5.2.2 HEAT TRANSFER IN TURBULENT PIPE AND CHANNEL FLOWS
FOR SMALL PECLET NUMBERS 158
5.3 RESULTS FOR HEATING SECTIONS WITH A FINITE LENGTH 160
5.3.1 PIECEWISE CONSTANT WALL TEMPERATURE 161
5.3.2 PIECEWISE CONSTANT WALL HEAT FLUX 164
5.4 APPLICATION OF THE SOLUTION METHOD TO RELATED PROBLEMS 167
6 NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS 173
6.1 THE METHOD OF SEPARATION OF VARIABLES 174
6.2 TRANSFORMATIONS RESULTING IN LINEAR PARTIAL DIFFERENTIAL
EQUATIONS 180
6.3 FUNCTIONAL RELATIONS BETWEEN DEPENDENT VARIABLES 186
6.3.1 INCOMPRESSIBLE FLOW OVER A HEATED FLAT PLATE 186
6.3.2 COMPRESSIBLE FLOW OVER A FLAT, HEATED PLATE 189
6.4 SIMILARITY SOLUTIONS 191
6.4.1 SIMILARITY SOLUTIONS FOR A TRANSIENT HEAT CONDUCTION
PROBLEM 191
6.4.2 SIMILARITY SOLUTIONS OF THE BOUNDARY LAYER EQUATIONS
FOR LAMINAR FREE CONVECTION FLOW ON A VERTICAL
FLAT PLATE 198
6.4.3 SIMILARITY SOLUTIONS OF THE COMPRESSIBLE BOUNDARY
LAYER EQUATIONS 204
CONTENTS XV
APPENDIX A: THE FULLY DEVELOPED VELOCITY PROFILE
FOR TURBULENT DUCT FLOWS 217
APPENDIX B: THE FULLY DEVELOPED VELOCITY PROFILE
IN AN AXIALLY ROTATING PIPE 229
APPENDIX C: A NUMERICAL SOLUTION METHOD FOR EIGENVALUE
PROBLEMS 241
APPENDIX D: DETAILED DERIVATION OF CERTAIN PROPERTIES
OF THE METHOD FOR SOLVING THE EXTENDED
GRAETZ PROBLEMS 249
APPENDIX E: SHORT SOLUTIONS OF THE CHAPTER PROBLEMS 263
REFERENCES 301
INDEX 309 |
| 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 | BV042707687 |
| classification_rvk | UG 2500 |
| ctrlnum | (OCoLC)903394765 (DE-599)DNB1066473382 |
| dewey-full | 620.10640151535 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.10640151535 |
| dewey-search | 620.10640151535 |
| dewey-sort | 3620.10640151535 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Physik Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV042707687 |
| illustrated | Illustrated |
| indexdate | 2024-09-10T01:48:31Z |
| institution | BVB |
| isbn | 3662465922 9783662465929 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028139085 |
| oclc_num | 903394765 |
| open_access_boolean | |
| owner | DE-83 DE-703 DE-1050 |
| owner_facet | DE-83 DE-703 DE-1050 |
| physical | XXII, 310 S. graph. Darst. 24 cm |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series2 | Mathematical engineering |
| spelling | Weigand, Bernhard 1962- Verfasser (DE-588)115406662 aut Analytical methods for heat transfer and fluid flow problems Bernhard Weigand 2. ed. Berlin [u.a.] Springer 2015 XXII, 310 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Mathematical engineering Literaturangaben Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Wärmeübertragung (DE-588)4064211-2 gnd rswk-swf Analytische Lösung (DE-588)4313842-1 gnd rswk-swf Kanalströmung (DE-588)4137410-1 gnd rswk-swf Rohrströmung (DE-588)4050412-8 gnd rswk-swf Mixed media product Graduate Nusselt-Graetz problems Internal heat transfer Similarity solutions Analytical Solutions Convective Heat Transfer Rohrströmung (DE-588)4050412-8 s Kanalströmung (DE-588)4137410-1 s Wärmeübertragung (DE-588)4064211-2 s Partielle Differentialgleichung (DE-588)4044779-0 s Analytische Lösung (DE-588)4313842-1 s DNB Erscheint auch als Online-Ausgabe 978-3-662-46593-6 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=5147637&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028139085&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weigand, Bernhard 1962- Analytical methods for heat transfer and fluid flow problems Partielle Differentialgleichung (DE-588)4044779-0 gnd Wärmeübertragung (DE-588)4064211-2 gnd Analytische Lösung (DE-588)4313842-1 gnd Kanalströmung (DE-588)4137410-1 gnd Rohrströmung (DE-588)4050412-8 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4064211-2 (DE-588)4313842-1 (DE-588)4137410-1 (DE-588)4050412-8 |
| 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 | Partielle Differentialgleichung (DE-588)4044779-0 gnd Wärmeübertragung (DE-588)4064211-2 gnd Analytische Lösung (DE-588)4313842-1 gnd Kanalströmung (DE-588)4137410-1 gnd Rohrströmung (DE-588)4050412-8 gnd |
| topic_facet | Partielle Differentialgleichung Wärmeübertragung Analytische Lösung Kanalströmung Rohrströmung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=5147637&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028139085&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT weigandbernhard analyticalmethodsforheattransferandfluidflowproblems |