Heat Conduction:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin
Springer Berlin
2009
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | BTU01 FHN01 FHR01 Volltext Inhaltsverzeichnis |
| Beschreibung: | 1 Online-Ressource (250 S.) |
| ISBN: | 9783642012679 |
| DOI: | 10.1007/978-3-642-01267-9 |
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Datensatz im Suchindex
| _version_ | 1804139426123612160 |
|---|---|
| adam_text | WITH SURFACE CONVECTION 41 CONTENTS PREFACE VII CHAPTER 1: BASIC
CONCEPTS 1 1.1 EXAMPLES OF CONDUCTION PROBLEMS 1 1.2 FOCAL POINT IN
CONDUCTION HEAT TRANSFER 2 1.3 FOURIER S LAW OF CONDUCTION 2 1.4
CONSERVATION OF ENERGY: DIFFERENTIAL FORMULATION OF THE HEAT CONDUCTION
IN RECTANGULAR COORDINATES 5 1.5 THE HEAT CONDUCTION EQUATION IN
CYLINDRICAL AND SPHERICAL COORDINATES 9 1.6 BOUNDARY CONDITIONS 10 1.6.1
SURFACE CONVECTION: NEWTON S LAW OF COOLING 10 1.6.2 SURFACE RADIATION:
STEFAN-BOLTZMANN LAW 11 1.6.3 EXAMPLES OF BOUNDARY CONDITIONS 12 1.7
PROBLEM SOLVING FORMAT 15 1.8 UNITS 16 REFERENCES 17 PROBLEMS 18 CHAPTER
2: ONE-DIMENSIONAL STEADY-STATE CONDUCTION 24 2.1 EXAMPLES OF
ONE-DIMENSIONAL CONDUCTION 24 2.2 EXTENDED SURFACES: FINS 34 2.2.1 THE
FUNCTION OF FINS 34 2.2.2 TYPES OF FINS 34 2.2.2 HEAT TRANSFER AND
TEMPERATURE DISTRIBUTION IN FINS 35 2.2.4 THE FIN APPROXIMATION 36 2.2.5
THE FIN HEAT EQUATION: CONVECTION AT SURFACE 37 2.2.6 DETERMINATION OF
DAJDX 39 2.2.7 BOUNDARY CONDITIONS 40 2.2.8 DETERMINATION OF FIN HEAT
TRANSFER RATE Q, 40 2.2.9 STEADY STATE APPLICATIONS: CONSTANT AREA FINS
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/993291287 DIGITALISIERT
DURCH X CONTENTS 2.2.10 CORRECTED LENGTH L C 44 2.2.11 FIN EFFICIENCY RJ
F 44 2.2.12 MOVING FINS 45 2.2.13 APPLICATION OF MOVING FINS 47 2.2.14
VARIABLE AREA FINS 49 2.3 BESSEL DIFFERENTIAL EQUATIONS AND BESSEL
FUNCTIONS 52 2.3.1 GENERAL FORM OF BESSEL EQUATIONS 52 2.3.2 SOLUTIONS:
BESSEL FUNCTIONS 52 2.3.3 FORMS OF BESSEL FUNCTIONS 54 2.3.4 SPECIAL
CLOSED-FORM BESSEL FUNCTIONS: N = ODD INTEGER/2 54 2.3.5 SPECIAL
RELATIONS FOR = 1, 2, 3, ... 55 2.3.6 DERIVATIVES AND INTEGRALS OF
BESSEL FUNCTIONS 56 2.3.7 TABULATION AND GRAPHICAL REPRESENTATION OF
SELECTED BESSEL FUNCTIONS 56 2.4 EQUIDIMENSIONAL (EULER) EQUATION 58 2.5
GRAPHICALLY PRESENTED SOLUTIONS TO FIN HEAT TRANSFER RATE Q F 59
REFERENCES 60 PROBLEMS 61 CHAPTER 3: TWO-DIMESIONAL STEADY STATE
CONDUCTION 72 3.1 THE HEAT CONDUCTION EQUATION 72 3.2 METHOD OF SOLUTION
AND LIMITATIONS 72 3.3 HOMOGENEOUS DIFFERENTIAL EQUATIONS AND BOUNDARY
CONDITIONS 72 3.4 STURM-LIOUVILLE BOUNDARY-VALUE PROBLEM: ORTHOGONALITY
74 3.5 PROCEDURE FOR THE APPLICATION OF SEPARATION OF VARIABLES METHOD
76 3.6 CARTESIAN COORDINATES: EXAMPLES 83 3. CONTENTS XI PROBLEMS 111
CHAPTER 4: TRANSIENT CONDUCTION 119 4.1 SIMPLIFIED MODEL:
LUMPED-CAPACITY METHOD 119 4.1.1 CRITERION FOR NEGLECTING SPATIAL
TEMPERATURE VARIATION 119 4.1.2 LUMPED-CAPACITY ANALYSIS 121 4.2
TRANSIENT CONDUCTION IN PLATES 124 4.3 NON-HOMOGENEOUS EQUATIONS AND
BOUNDARY CONDITIONS 128 4.4 TRANSIENT CONDUCTION IN CYLINDERS 132 4.5
TRANSIENT CONDUCTION IN SPHERES 138 4.6 TIME DEPENDENT BOUNDARY
CONDITIONS: DUHAMEFS SUPERPOSITION INTEGRAL 141 4.6.1 FORMULATION OF
DUHAMEL S INTEGRAL 142 4.6.2 EXTENSION TO DISCONTINUOUS BOUNDARY
CONDITIONS 144 4.6.3 APPLICATIONS 145 4.7 CONDUCTION IN SEMI-INFINITE
REGIONS: THE SIMILARITY TRANSFORMATION METHOD 150 REFERENCES 154
PROBLEMS 154 CHAPTER 5: POROUS MEDIA 163 5.1 EXAMPLES OF CONDUCTION IN
POROUS MEDIA 163 5.2 SIMPLIFIED HEAT TRANSFER MODEL 164 5.2.1 POROSITY
164 5.2.2 HEAT CONDUCTION EQUATION: CARTESIAN COORDINATES 165 5.2.3
BOUNDARY CONDITIONS 167 5.2.4 HEAT CONDUCTION EQUATION: CYLINDRICAL
COORDINATES 168 5.3 APPLICATIONS 168 REFERENCES 174 PROBLEMS 175 XUE
CONTENTS CHAPTER 6: CONDUCTION WITH PHASE CHANGE: MOVING BOUNDARY
PROBLEMS 184 6.1 INTRODUCTION 184 6.2 THE HEAT EQUATION 185 6.3 MOVING
INTERFACE BOUNDARY CONDITIONS 185 6.4 NON-LINEARITY OF THE INTERFACE
ENERGY EQUATION 188 6.5 NON-DIMENSIONAL FORM OF THE GOVERNING EQUATIONS:
GOVERNING PARAMETERS 189 6.6 SIMPLIFIED MODEL: QUASI-STEADY
APPROXIMATION 190 6.7 EXACT SOLUTIONS 197 6.7.1 STEFAN S SOLUTION 197
6.7.2 NEUMANN S SOLUTION: SOLIDIFICATION OF SEMI- INFINITE REGION 200
6.7.3 NEUMANN S SOLUTION: MELTING OF SEMI-INFINITE REGION 203 6.8 EFFECT
OF DENSITY CHANGE ON THE LIQUID PHASE 204 6.9 RADIAL CONDUCTION WITH
PHASE CHANGE 205 6.10 PHASE CHANGE IN FINITE REGIONS 209 REFERENCES 210
PROBLEMS 210 CHAPTER 7: NON-LESEAR CONDUCTION PROBLEMS 215 7.1
INTRODUCTION 215 7.2 SOURCES OF NON-LINEARITY 215 7.2.1 NON-LINEAR
DIFFERENTIAL EQUATIONS 215 7.2.2 NON-LINEAR BOUNDARY CONDITIONS 216 7.3
TAYLOR SERIES METHOD 216 7.4 KIRCHHOFF TRANSFORMATION 220 7.4.1
TRANSFORMATION OF DIFFERENTIAL EQUATIONS 220 7.4.2 TRANSFORMATION OF
BOUNDARY CONDITIONS 221 7.5 BOLTZMANN TRANSFORMATION 224 7.6 COMBINING
BOLTZMANN AND KIRCHHOFF TRANSFORMATIONS 226 7.7 EXACT SOLUTIONS 227
REFERENCES 230 PROBLEMS 230 INTEGRAL METHOD APPROXIMATION: MATHEMATICAL
SIMPLIFICATION PROCEDURE ACCURACY OF THE INTEGRAL METHOD APPLICATION TO
CARTESIAN COORDINATES APPLICATION TO CYLINDRICAL COORDINATES NON-LINEAR
PROBLEMS ENERGY GENERATION REFERENCES PROBLEMS 236 236 237 238 246 251
260 264 264 CONTENTS CHAPTER 8: APPROXIMATE SOLUTIONS: THE INTEGRAL
METHOD 236 8.2 8.3 8.4 8.5 8.6 8.7 CHAPTER 9: PERTURBATION SOLUTIONS 269
9.1 INTRODUCTION 269 9.2 SOLUTION PROCEDURE 270 9.3 EXAMPLES OF
PERTURBATION PROBLEMS IN CONDUCTION 271 9.4 PERTURBATION SOLUTIONS:
EXAMPLES 273 9.5 USEFUL EXPANSIONS 296 REFERENCES 296 PROBLEMS 297
CHAPTER 10: HEAT TRANSFER IN LIVING TISSUE 302 10.1 INTRODUCTION 302
10.2 VASCULAR ARCHITECTURE AND BLOOD FLOW 302 10.3 BLOOD TEMPERATURE
VARIATION 304 10.4 MATHEMATICAL MODELING OF VESSELS-TISSUE HEAT TRANSFER
305 10.4.1 PENNES BIOHEAT EQUATION 305 10.4.2 CHEN-HOLMES EQUATION 312
10.4.3 THREE-TEMPERATURE MODEL FOR PERIPHERAL TISSUE 313 10.4.4
WEINBAUM-JIJI SIMPLIFIED BIOHEAT EQUATION FOR PERIPHERAL TISSUE 315
10.4.5 THE S- VESSEL TISSUE CYLINDER MODEL 323 REFERENCE XIV CONTENTS
CHAPTER 11: M1CROSCALE CONDUCTION 347 11.1 INTRODUCTION 347 11.1.1
CATEGORIES OF MICROSCALE PHENOMENA 348 11.1.2 PURPOSE AND SCOPE OF THIS
CHAPTER 350 11.2 UNDERSTANDING THE ESSENTIAL PHYSICS OF THERMAL
CONDUCTIVITY USING THE KINETIC THEORY OF GASES 351 11.2.1 DETERMINATION
OF FOURIER S LAW AND EXPRESSION FOR THERMAL CONDUCTIVITY 351 11.3 ENERGY
CARRIERS 355 11.3.1 IDEAL GAS: HEAT IS CONDUCTED BY GAS MOLECULES 355
11.3.2 METALS: HEAT IS CONDUCTED BY ELECTRONS 359 11.3.3 ELECTRICAL
INSULATORS AND SEMICONDUCTORS: HEAT IS CONDUCTED BY PHONONS (SOUND
WAVES) 361 11.3.4 RADIATION: HEAT IS CARRIED BY PHOTONS (LIGHT WAVES)
372 11.4 THERMAL CONDUCTIVITY REDUCTION BY BOUNDARY SCATTERING: THE
CLASSICAL SIZE EFFECT 376 11.4.1 ACCOUNTING FOR MULTIPLE SCATTERING
MECHANISMS: MATTHIESSEN S RULE 377 11.4.2 BOUNDARY SCATTERING FOR HEAT
FLOW PARALLEL TO BOUNDARIES 379 11.4.3 BOUNDARY SCATTERING FOR HEAT FLOW
PERPENDICULAR TO BOUNDARIES 387 11.5 CLOSING THOUGHTS 391 REFERENCES 394
PROBLEMS 397 APPENDIX A: ORDINARY DIFFERENTIAL EQUATIONS 402 (1) SECOND
ORDER DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS 402 (2) FIRST
ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS 404
APPENDIX B: INTEGRALS OF BESSEL FUNCTIONS 405 APPENDIX C: VALUES OF
BESSEL FUNCTIONS 406 APPENDI CONTENTS X D-3 PROPERTIES OF HELIUM GAS
412 D-4 PROPERTIES OF COPPER AT 3 00 K 4 12 D-5 PROPERTIES OF FUSED
SILICA 4 2 (AMORPHOUS SILICON DIOXIDE, SIO 2 )AT 300 K 413 D-6
PROPERTIES OF SILICON 413 D-7 MEASURED THERMAL CONDUCTIVITY OF A 56 NM
DIAMETER SILICON NANOWIRE AT SELECTED TEMPERATURES 414 D-8 CALCULATED
THERMAL CONDUCTIVITY OF SINGLE-WALLED CARBON NANOTUBES, SELECTED VALUES
414 INDEX 416
|
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| language | English |
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| spelling | Heat Conduction Latif M. Jiji 2. ed. Berlin Springer Berlin 2009 1 Online-Ressource (250 S.) txt rdacontent c rdamedia cr rdacarrier Wärmeleitung (DE-588)4064192-2 gnd rswk-swf Wärmeleitung (DE-588)4064192-2 s DE-604 Jiji, Latif M. 1927- Sonstige (DE-588)131647156 oth Erscheint auch als Druck-Ausgabe, Hardcover 978-3-642-01266-2 https://doi.org/10.1007/978-3-642-01267-9 Verlag Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017760999&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Heat Conduction Wärmeleitung (DE-588)4064192-2 gnd |
| subject_GND | (DE-588)4064192-2 |
| title | Heat Conduction |
| title_auth | Heat Conduction |
| title_exact_search | Heat Conduction |
| title_full | Heat Conduction Latif M. Jiji |
| title_fullStr | Heat Conduction Latif M. Jiji |
| title_full_unstemmed | Heat Conduction Latif M. Jiji |
| title_short | Heat Conduction |
| title_sort | heat conduction |
| topic | Wärmeleitung (DE-588)4064192-2 gnd |
| topic_facet | Wärmeleitung |
| url | https://doi.org/10.1007/978-3-642-01267-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017760999&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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