Holdings: Engineering heat transfer

Engineering heat transfer:

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Bibliographic Details
Main Author:	Janna, William S. (Author)
Format:	Book
Language:	English
Published:	Boca Raton, FL u.a. CRC Press 2009
Edition:	3. ed.
Series:	Heat transfer
Subjects:	Heat > Transmission Heat exchangers Wärmeübertragung Wärmeaustauscher Einführung
Online Access:	Inhaltsverzeichnis Klappentext
Physical Description:	Getr. Zählung Ill., graph. Darst.
ISBN:	9781420072020

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adam_text	Contents Preface .....................................................................................................................xv Acknowledgments .................................................................................................xvii Author .....................................................................................................................xix 1 Fundamental Concepts 1.1 Introduction .....................................................................................................................................1-1 1.2 Mechanisms of Heat Transfer .......................................................................................................1-1 1.3 Dimensions and Units ...................................................................................................................1-3 1.4 Fourier s Law of Heat Conduction ...............................................................................................1-5 1.5 Thermal Conductivity ....................................................................................................................1-8 1.6 Convection Heat Transfer ...........................................................................................................1-13 1.7 Convection Heat-Transfer Coefficient .......................................................................................1-16 1.8 Radiation Heat Transfer ..............................................................................................................1-18 1.9 Emissivity and Other Radiative Properties . 1.10 Combined Heat-Transfer Mechanisms ......... 1.11 Summary ........................................................... 1.12 Problems ............................................................ 1.12.1 Introduction to Conduction .......... 1.12.2 Introduction to Convection ........... 1.12.3 Introduction to Radiation .............. 1.12.4 Combined Mechanism Problems . -20 -21 -23 -24 -24 -26 -27 -29 2 Steady-State Conduction in One Dimension 2.1 Introduction ....................................................................................................................................2-1 2.2 One-Dimensional Conduction Equation ...................................................................................2-2 2.3 Plane Geometry Systems ..............................................................................................................2-5 2.3.1 Thermal Circuit ..................................................................................................................2-7 2.3.2 Materials in Series ...........................................................................................................2-Ю 2.3.3 Materials in Parallel ........................................................................................................2-13 2.3.4 Plane Wall with Heat Generation .................................................................................2-16 2.3.5 Overall Heat-Transfer Coefficient .................................................................................2-18 2.4 Polar Cylindrical Geometry Systems ........................................................................................2-21 2.4.1 Pipe and Tube Specifications .........................................................................................2-24 2.4.2 Materials in Series ..........................................................................................................2-26 2.4.3 Cylinder with Heat Generation .....................................................................................2-29 2.4.4 Overall Heat-Transfer Coefficient .................................................................................2-31 2.4.5 Critical Thickness of Insulation ...................................................................................2-34 vii vin Contents 2.5 Spherical Geometry Systems ......................................................................................................2-37 2.6 Thermal Contact Resistance .......................................................................................................2-39 2.7 Heat Transfer from Extended Surfaces ....................................................................................2-44 2.7.1 General Differential Equation for Extended Surfaces ...............................................2-45 2.7.2 Analysis of Pin Fin ..........................................................................................................2-48 2.7.3 Analysis of Straight Fin of Rectangular Profile .........................................................2-58 2.7.4 Straight Fins of Triangular and Parabolic Profile ......................................................2-61 2.7.5 Circular Fin of Rectangular Profile ..............................................................................2-65 2.8 Summary ................................................ ..........................................................................2-70 2.9 Problems ............................................... ..............................................................2-71 2.9.1 One-Dimensional Planar Conduction ..........................................................................2-71 2.9.2 One-Dimensional Conduction in Polar Coordinates ................................................2-75 2.9.3 Internal Heat Generation ...............................................................................................2-76 2.9.4 One-Dimensional Conduction in Spherical Coordinates ........................................2-77 2.9.5 Contact Resistance ..........................................................................................................2-77 2.9.6 Pin Fins ..............................................................................................................................2-79 2.9.7 Straight Fins .....................................................................................................................2-81 2.9.8 Circular Fins ....................................................................................................................2-84 3 Steady-State Conduction in Multiple Dimensions 3.1 Introduction ..................................................................................................................3-1 3.2 General Conduction Equation .....................................................................................................3-1 3.2.1 Cartesian Coordinates .......................................................................................................3-1 3.3 Analytical Method of Solution .....................................................................................................3-3 3.4 Graphical Method of Solution ....................................................................................................3-10 3.5 Conduction Shape Factor ............................................................................................................3-15 3.6 Solution by Numerical Methods (Finite Differences) ............................................................3-24 3.6.1 Normalization of Equations ..........................................................................................3-25 3.6.2 Numerical Method of Solution for One-Dimensional Problems ............................3-26 3.7 Numerical Method of Solution for Two-Dimensional Problems ..........................................3-37 3.8 Methods of Solving Simultaneous Equations .........................................................................3-47 3.9 Summary .......................................... 3.52 3.10 Problems ................................................................................................................................... 3.53 3.10.1 Analytical Methods ......................................................................................................3-53 3.10.2 Field Plotting: Graphical Method ...............................................................................3-54 3.10.3 Shape Factor Method: Charts ....................................................................................3-58 3.10.4 Normalization/Transformation of Equations ..........................................................3-61 3.10.5 Numerical Methods for One-Dimensional Problems .............................................3-63 3.10.6 Numerical Methods for Two-Dimensional Problems .............................................3-64 4 Unsteady-State Heat Conduction 4.1 Introduction ...................................... 44 4.2 Systems with Negligible Internal Resistance .............................................................................4-2 4.3 Systems with Finite Internal and Surface Resistances ............................................................4-8 4.4 Solutions to Multidimensional Geometry Systems ................................................................4-26 4.5 Approximate Methods of Solution to Transient-Conduction Problems ............................4-35 4.5.1 Numerical Methods ........................................................................................................4-35 4.5.2 Graphical Method ..........................................................................................................4-46 4.6 Summary ............................... 4_50 Contents ix 4.7 Problems........................................................................................................................................4-50 4.7.1 Lumped Capacitance Method .......................................................................................4-50 4.7.2 Chart Solutions: Slabs, Cylinders, Spheres .................................................................4-51 4.7.3 Semi-Infinite Slabs ..........................................................................................................4-53 4.7.4 Multidimensional Problems ..........................................................................................4-53 4.7.5 Numerical Methods ........................................................................................................4-54 4.7.6 Graphical Methods .........................................................................................................4-54 4.7.7 Project Problems .............................................................................................................4-55 5 Introduction to Convection 5.1 Introduction .....................................................................................................................................5-1 5.2 Fluid Properties ...............................................................................................................................5-1 5.2.1 Absolute Viscosity ..............................................................................................................5-2 5.2.2 Pressure ................................................................................................................................5-3 5.2.3 Density .................................................................................................................................5-3 5.2.4 Kinematic Viscosity ..........................................................................................................5-4 5.2.5 Surface Tension .................................................................................................................5-5 5.2.6 Internal Energy ..................................................................................................................5-5 5.2.7 Enthalpy ..............................................................................................................................5-5 5.2.8 Specific Heat .......................................................................................................................5-6 5.2.9 Compressibility Factor ......................................................................................................5-7 5.2.10 Volumetric Thermal-Expansion Coefficient .................................................................5-8 5.3 Characteristics of Fluid Flow .......................................................................................................5-9 5.4 Equations of Fluid Mechanics .....................................................................................................5-Ю 5.4.1 Continuity Equation ........................................................................................................5-10 5.4.2 Momentum Equation (or Equation of Motion) ...........................................................5-11 5.5 Thermal-Energy Equation ...........................................................................................................5-17 5.6 Applications to Laminar Flows ..................................................................................................5-20 5.7 Applications to Turbulent Flows ................................................................................................5-23 5.8 Natural-Convection Problem ....................................................................................................5-24 5.9 Dimensional Analysis ..................................................................................................................5-28 5.9.1 Internal Flows ....................................................................................................................5-31 5.9.2 External Flows ..................................................................................................................5-32 5.9.3 Natural Convection ..........................................................................................................5-33 5.10 Summary .......................................................................................................................................5-34 5.11 Problems ........................................................................................................................................5-36 5.11.1 Fluid Properties ..............................................................................................................5-36 5.11.2 Momentum Equation ....................................................................................................5-36 5.11.3 Thermal-Energy Equation .............................................................................................5-37 5.11.4 Dimensional Analysis ...................................................................................................5-39 5.11.5 Miscellaneous Problems ...............................................................................................5-40 6 Convection Heat Transfer in a Closed Conduit 6.1 Introduction .....................................................................................................................................6-1 6.2 Heat Transfer to and from Laminar Flow in Circular Conduit ..............................................6-1 6.2.1 Constant Heat Flux at Wall .............................................................................................6-3 6.2.2 Constant Wall Temperature ...........................................................................................6-11 6.2.3 Thermal Entry Length .....................................................................................................6-17 6.2.4 Combined-Entry-Length Problem for Laminar Flow in Circular Duct ................6-26 6.3 Heat Transfer to and from Turbulent Flow in Circular Conduit ..........................................6-31 x Contents 6.3.1 Constant Heat Flux at Wall and Constant Wall Temperature .................................6-32 6.4 Heat-Transfer Correlations for Flow in Noncircular Ducts ..................................................6-37 6.4.1 Concentric Annular Duct ..............................................................................................6-38 6.4.2 Rectangular Cross Sections ...........................................................................................6-41 6.5 Summary .......................................................................................................................................6-43 6.6 Problems ........................................................................................................................................6-43 6.6.1 Entrance Length ..............................................................................................................6-43 6.6.2 Constant Wall Flux .........................................................................................................6-45 6.6.3 Constant Wall Temperature ..........................................................................................6-46 6.6.4 Empirical Correlations ...................................................................................................6-48 6.5.5 Noncircular Cross Sections ...........................................................................................6-52 6.6.6 Derivations and Theoretical Problems ........................................................................6-53 7 Convection Heat Transfer in Flows Past Immersed Bodies 7.1 Introduction .....................................................................................................................................7-1 7.2 Boundary-Layer Flow .....................................................................................................................7-1 7.2.1 Laminar-Boundary-Layer Flow over Flat Plate .............................................................7-4 7.2.2 Constant Wall Temperature ...........................................................................................7-Ю 7.2.3 Constant Wall Flux ..........................................................................................................7-17 7.2.4 General Relationship ........................................................................................................7-21 7.2.5 Reynolds Analogy ............................................................................................................7-21 7.3 Turbulent Flow over Flat Plate .....................................................................................................7-23 7.3.1 Laminar and Turbulent Flow over Flat Plate ................................................................7-24 7.4 Flow Past Various Two-Dimensional Bodies ............................................................................7-31 7.5 Flow Past a Bank of Tubes ...........................................................................................................7-42 7.6 Flow Past a Sphere ........................................................................................................................7-49 7.7 Summary .........................................................................................................................................7-50 7.8 Problems .........................................................................................................................................7-52 7.8.1 Flow Past a Flat Plate ........................................................................................................7-52 7.8.2 Reynolds-Colburn Analogy ...........................................................................................7-53 7.8.3 Flow Past Two-Dimensional Bodies ..............................................................................7-53 7.8.4 Flow Past a Tube Bank .....................................................................................................7-55 7.8.5 Derivations ........................................................................................................................7-56 8 Natural-Convection Systems 8.1 Introduction .....................................................................................................................................8-1 8.2 Natural Convection on a Vertical Surface: Laminar Flow .......................................................8-2 8.3 Natural Convection on a Vertical Surface: Transition and Turbulence ...............................8-14 8.4 Natural Convection on an Inclined Flat Plate ..........................................................................8-16 8.5 Natural Convection on a Horizontal Flat Surface ...................................................................8-19 8.6 Natural Convection on Cylinders .............................................................................................8-22 8.6.1 Vertical Cylinders ...........................................................................................................8-22 8.6.2 Horizontal Cylinders ......................................................................................................8-23 8.6.3 Inclined Cylinders ..........................................................................................................8-25 8.7 Natural Convection around Spheres and Blocks ....................................................................8-25 8.8 Natural Convection about an Array of Fins ............................................................................8-28 8.9 Combined Forced- and Natural-Convection Systems ............................................................8-31 8.10 Summary .......................................................................................................................................8-32 8.11 Problems ........................................................................................................................................8-32 8.11.1 Natural Convection: Vertical Plane Surfaces ............................................................8-32 Contents xi 8.11.2 Natural Convection: Inclined Surfaces ......................................................................8-35 8.11.3 Natural Convection: Horizontal Plane Surfaces ......................................................8-35 8.11.4 Natural Convection: Cylinders ...................................................................................8-36 8.11.5 Natural Convection: Miscellaneous Geometries and Problems ............................8-38 8.11.6 Natural Convection: Fins .............................................................................................8-39 8.11.7 Derivations .....................................................................................................................8-40 8.12 Project Problems ...........................................................................................................................8-43 9 Heat Exchangers 9.1 Introduction .....................................................................................................................................9-1 9.2 Double-Pipe Heat Exchangers ......................................................................................................9-2 9.2.1 Circular Duct .....................................................................................................................9-9 9.2.2 Annular Duct ....................................................................................................................9-10 9.2.3 Fouling Factors .................................................................................................................9-14 9.3 Shell-and-Tube Heat Exchangers ................................................................................................9-19 9.3.1 Shells ..................................................................................................................................9-20 9.3.2 Tubes ..................................................................................................................................9-20 9.3.3 Baffles ................................................................................................................................9-23 9.3.4 Modifications ...................................................................................................................9-23 9.3.5 Tube Side ...........................................................................................................................9-25 9.3.6 Shell Side ...........................................................................................................................9-27 9.3.7 True Temperature Difference ........................................................................................9-29 9.4 Effectiveness-Number of Transfer Units Method of Analysis .............................................9-36 9.4.1 Effectiveness-Number of Transfer Units Equations ..................................................9-38 9.5 Crossflow Heat Exchangers ........................................................................................................9-42 9.6 Efficiency of a Heat Exchanger ...................................................................................................9-50 9.7 Summary ........................................................................................................................................9-51 9.7.1 Double-Pipe Heat Exchangers Suggested Order of Calculations ..............................9-51 9.7.2 Shell-and-Tube Heat Exchangers Suggested Order of Calculations ........................9-54 9.7.3 Crossflow Heat Exchangers Suggested Order of Calculations .................................9-56 9.8 Problems ........................................................................................................................................9-58 9.8.1 Double-Pipe Heat Exchangers .......................................................................................9-58 9.8.2 Shell-and-Tube Heat Exchangers ..................................................................................9-61 9.8.3 Crossflow Heat Exchangers ...........................................................................................9-63 9.8.4 Miscellaneous Problems and Equations ......................................................................9-65 10 Condensation and Vaporization Heat Transfer 10.1 Introduction ................................................................................................................................10-1 10.2 Condensation Heat Transfer ....................................................................................................10-1 10.2.1 Laminar Film Condensation on a Vertical Flat Surface .......................................10-2 10.2.2 Turbulent Film Condensation on Vertical Flat Surface .......................................10-10 10.2.3 Laminar Film Condensation on an Inclined Flat Surface ...................................10-10 10.2.4 Film Condensation on a Vertical Tube ...................................................................10-11 10.2.5 Film Condensation on a Horizontal Tube and on a Horizontal Tube Bank.... 10-12 10.2.6 Film Condensation within Horizontal Tubes ........................................................10-14 10.3 Boiling Heat Transfer ..............................................................................................................10-15 10.3.1 Nucleate Pool Boiling ................................................................................................10-19 10.3.2 Nucleate Pool Boiling Critical Heat Flux ..............................................................10-19 10.4 Summary ...................................................................................................................................10-23 10.5 Problems ....................................................................................................................................10-23 10.5.1 Filmwise Condensation-Flat Plates ........................................................................10-23 xii Contents 10.5.2 Condensation on Tubes ............................................................................................10-25 10.5.3 Boiling ......................................................................................................................... 10-26 11 Introduction to Radiation Heat Transfer 11.1 Introduction ................................................................................................................................. HI 11.2 Electromagnetic Radiation Spectrum ......................................................................................11-2 11.3 Emission and Absorption at the Surface of an Opaque Solid ..............................................11-3 11.4 Radiation Intensity ...................................................................................................................... H-5 11.5 Irradiation and Radiosity ........................................................................................................... H-9 11.6 Radiation Laws ..........................................................................................................................11-14 11.6.1 Kirchhofs Law ............................................................................................................11-14 11.6.2 Stefan-Boltzmann Law ..............................................................................................11-15 11.6.3 Planck s Distribution Law .........................................................................................11-18 11.6.4 Wien s Displacement Law ..........................................................................................11-23 11.7 Characteristics of Real Surfaces ..............................................................................................11-24 11.7.1 Absorptivity and Reflectivity ....................................................................................11-27 11.7.2 Transmissivity .............................................................................................................11-28 11.8 Summary ....................................................................................................................................11-31 11.9 Problems .....................................................................................................................................11-31 11.9.1 Radiation Spectrum ....................................................................................................11-31 11.9.2 Radiation Intensity .....................................................................................................11-33 11.9.3 Radiation and Radiosity ............................................................................................11-35 11.9.4 Radiation Laws ............................................................................................................11-35 11.9.5 Characteristics of Real Surfaces ...............................................................................11-36 12 Radiation Heat Transfer between Surfaces 12.1 Introduction ................................................................................................................................12-1 12.2 View Factor .................................................................................................................................12-1 12.2.1 View Factor between Two Differential Elements ...................................................12-2 12.2.2 View Factor between Differential Element and Finite Area ................................12-4 12.2.3 View Factors for Two Finite Areas ...........................................................................12-6 12.3 Methods for Evaluating View Factors ....................................................................................12-6 12.3.1 View-Factor Algebra for Pairs of Surfaces ..............................................................12-7 12.3.2 View-Factor Algebra for Enclosures ......................................................................12-15 12.3.3 Crossed-String Method .............................................................................................12-17 12.4 Radiation Heat Transfer within Enclosure of Black Surfaces ...........................................12-20 12.5 Radiation Heat Transfer within an Enclosure of Diffuse-Gray Surfaces .......................12-24 12.5.1 Surface Heating and Surface Temperature ...........................................................12-26 12.5.2 Radiosity and Surface Temperature .......................................................................12-30 12.5.3 Electrical Analogy .....................................................................................................12-31 12.6 Summary ...................................................................................................................................12-36 12.7 Problems ....................................................................................................................................12-37 12.7.1 View Factor and Heat Transfer Radiation .............................................................12-37 12.7.2 Radiation in Enclosure of Black Surfaces ..............................................................12-41 12.7.3 Radiation in Enclosure of Diffuse-Gray Surfaces ................................................12-42 12.8 Project Problems ......................................................................................................................12-45 Bibliography and Selected References .................................................................. B-l Contents xiii Appendixes............................................................................................................A-l A.I Prefixes ............................................................................................................................................A-l A.2 Conversion Factors Listed by Physical Quantity ..................................................................... A-l A.3 Temperature Conversions ............................................................................................................ A-3 A. 4 Hyperbolic Functions .................................................................................................................... A-3 A. 5 Error Function or Probability Integral ....................................................................................... A-6 A. 6 Symbols and Units ......................................................................................................................... A-8 B.I Thermal Properties of Selected Metallic Elements at 293 К (20°C) or 528°R (65°F) ............ A-9 B.2 Thermal Properties of Selected Alloys at 293 К (20°C) or 528°R (65°F) .............................. A-10 B.3 Thermal Properties of Selected Building Materials and Insulations at 293 К (20°C) or 528°R (65°F) .................................................................................................... A-ll C.I Properties of Saturated Liquids: Ammonia NH, ..................................................................... A-13 C.2 Properties of Saturated Liquids: Carbon Dioxide CO2 ........................................................... A-14 C.3 Properties of Saturated Liquids: Dichlorodifluoromethane (Freon-12) CC12F2 ................. A-15 C.4 Properties of Saturated Liquids: Engine Oil (Unused) ........................................................... A-16 C.5 Properties of Saturated Liquids: Ethylene Glycol C2H4(OH2) ............................................... A-16 С. 6 Properties of Saturated Liquids: Eutectic Calcium Chloride Solution (29.9% CaCl2) ....... A-17 C.7 Properties of Saturated Liquids: Glycerin C3H5(OH)3 ............................................................ A-17 C.8 Properties of Saturated Liquids: Mercury Hg .......................................................................... A-18 C.9 Properties of Saturated Liquids: Methyl Cloride Ch3Cl ......................................................... A-18 CIO Properties of Saturated Liquids: Sulfur dioxide SO2 ............................................................... A-19 СП Properties of Saturated Liquids: Water H2O ............................................................................ A-20 D.I Properties of Gases at Atmospheric Pressure (101.3 kPa = 14.7 psia): Air [Gas constant = 286.8 J/(kg ■ K) = 53.3 ft ■ lbf/lbm · °R; γ = cp/cv = 1.4].................. A-21 D.2 Properties of Gases at Atmospheric Pressure (101.3 kPa = 14.7 psia): Carbon Dioxide [Gas constant = 188.9 J/(kg · K) = 35.11 ft-lbf/lbm ■ °R; γ = c/c, = 1.30]...................... A-22 D.3 Properties of Gases at Atmospheric Pressure (101.3 kPa = 14.7 psia): Helium [Gas constant = 2 077 J/(kg · K) = 386 ft · lbf/lbm · °R; у = cp/cv = 1.66]........................ A-22 D.4 Properties of Gases at Atmospheric Pressure (101.3 kPa = 14.7 psia): Hydrogen [Gas constant = 4 126 J/(kg ■ K) = 767 ft · lbf/lbm · °R; γ = cp/cv = 1.405]..................... A-23 D.5 Properties of Gases at Atmospheric Pressure ( 101.3 kPa = 14.7 psia): Nitrogen [Gas constant = 296.8 J/(kg · K) = 55.16 ft · lbf/lbm · °R; γ = cp/cv = 1.40]..................... A-24 D.6 Properties of Gases at Atmospheric Pressure (101.3 kPa = 14.7 psia): Oxygen [Gas constant = 260 J/(kg · K) = 48.3 ft ■ lbf/lbm ■ °R; γ = cp/cv = 1.40].......................... A-24 D.7 Properties of Gases at Atmospheric Pressure (101.3 kPa = 14.7 psia): Water Vapor or Steam [Gas constant = 461.5 J/(kg · K) = 85.78 ft · lbf/lbm · °R; γ = cp/cv = 1.33].......... A-25 E.I Normal Emissivity of Various Metals ........................................................................................ A-26 E.2 Normal or Total (Hemispherical) Emissivity of Various Nonmetallic Solids ...................... A-26 F.I Dimensions of Wrought-Steel and Wrought-Iron Pipe .......................................................... A-27 F.2 Dimensions of Seamless Copper Tubing .................................................................................. A-29 G.I The Greek Alphabet ..................................................................................................................... A-30 Answers to Selected Odd-Numbered Problems ............................................................................... A-31 Index ....................................................................................................................... I~l EERING ш bdítíon LLUÜá Adhering to editions of t Third E - ■ present, gra, The v, are used to ι that are pr¡ New in the Third Editi nnial bestsellers, Engineering Heat Transfer, ~ s with a highly readable and concrete bstract topic. Drawings, sketches, and 1 as are examples and problems. md show h lems. The ť Ýww examples emphasizes mathematical techniques, but preserves physical interpretation of heat transfer fundamentals and modeling of heat transfer phenomena. The end-of-chapter problems proceed from short and simple confidence builders to difficult and lengthy problems that will greatly help students develop a rigorous yet concrete approach to problem solving that will greatly assist them throughout their continued education and professional careers.
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genre	1\p (DE-588)4151278-9 Einführung gnd-content
genre_facet	Einführung
id	DE-604.BV035392673
illustrated	Illustrated
indexdate	2024-07-09T21:34:12Z
institution	BVB
isbn	9781420072020
language	English
lccn	2008043509
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-017313430
oclc_num	172980299
open_access_boolean
owner	DE-1050 DE-703 DE-Aug4
owner_facet	DE-1050 DE-703 DE-Aug4
physical	Getr. Zählung Ill., graph. Darst.
publishDate	2009
publishDateSearch	2009
publishDateSort	2009
publisher	CRC Press
record_format	marc
series2	Heat transfer
spelling	Janna, William S. Verfasser (DE-588)13754555X aut Engineering heat transfer William S. Janna 3. ed. Boca Raton, FL u.a. CRC Press 2009 Getr. Zählung Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Heat transfer Heat Transmission Heat exchangers Wärmeübertragung (DE-588)4064211-2 gnd rswk-swf Wärmeaustauscher (DE-588)4064176-4 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Wärmeaustauscher (DE-588)4064176-4 s DE-604 Wärmeübertragung (DE-588)4064211-2 s Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017313430&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017313430&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Janna, William S. Engineering heat transfer Heat Transmission Heat exchangers Wärmeübertragung (DE-588)4064211-2 gnd Wärmeaustauscher (DE-588)4064176-4 gnd
subject_GND	(DE-588)4064211-2 (DE-588)4064176-4 (DE-588)4151278-9
title	Engineering heat transfer
title_auth	Engineering heat transfer
title_exact_search	Engineering heat transfer
title_full	Engineering heat transfer William S. Janna
title_fullStr	Engineering heat transfer William S. Janna
title_full_unstemmed	Engineering heat transfer William S. Janna
title_short	Engineering heat transfer
title_sort	engineering heat transfer
topic	Heat Transmission Heat exchangers Wärmeübertragung (DE-588)4064211-2 gnd Wärmeaustauscher (DE-588)4064176-4 gnd
topic_facet	Heat Transmission Heat exchangers Wärmeübertragung Wärmeaustauscher Einführung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017313430&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017313430&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT jannawilliams engineeringheattransfer

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