Heat Transfer 1: Conduction

ISBN-13: 9781786305169 / Angielski / Twarda / 2021 / 352 str.

Michel LeDoux; Abdelkhalak El Hami

Spis treści

Preface ixIntroduction xiiiChapter 1. The Problem of Thermal Conduction: General Comments 11.1. The fundamental problem of thermal conduction 11.2. Definitions 21.2.1. Temperature, isothermal surface and gradient 21.2.2. Flow and density of flow 41.3. Relation to thermodynamics 51.3.1. Calorimetry 51.3.2. The first principle 61.3.3. The second principle 6Chapter 2. The Physics of Conduction 92.1. Introduction 92.2. Fourier's law 92.2.1. Experiment 92.2.2. Temperature profile 122.2.3. General expression of the Fourier law 142.3. Heat equation 162.3.1. General problem 162.3.2. Mono-dimensional plane problem 182.3.3. Case of the axisymmetric system 242.3.4. Case of the spherical system 252.4. Resolution of a problem 262.5. Examples of application 292.5.1. Problems involving spherical symmetry 40Chapter 3. Conduction in a Stationary Regime 533.1. Thermal resistance 533.1.1. Thermal resistance: plane geometry 533.1.2. Thermal resistance: axisymmetric geometry. The case of a cylindrical wall 623.1.3. Thermal resistance to convection 653.1.4. Critical radius 673.2. Examples of the application of thermal resistance in plane geometry 693.3. Examples of the application of the thermal resistance in cylindrical geometry 853.4. Problem of the critical diameter 923.5. Problem with the heat balance 99Chapter 4. Quasi-stationary Model 1034.1. We can perform a simplified calculation, adopting the following hypotheses 1034.2. Method: instantaneous thermal balance 1044.3. Resolution 1064.4. Applications for plane systems 1074.5. Applications for axisymmetric systems 152Chapter 5. Non-stationary Conduction 1835.1. Single-dimensional problem 1835.1.1. Temperature imposed at the interface at instant t = 0 1845.2. Non-stationary conduction with constant flow density 1905.3. Temperature imposed on the wall: sinusoidal variation 1935.4. Problem with two walls stuck together 2005.5. Application examples 2045.5.1. Simple applications 2045.5.2. Some scenes from daily life 213Chapter 6. Fin Theory: Notions and Examples 2376.1. Notions regarding the theory of fins 2376.1.1. Principle of fins 2376.1.2. Elementary fin theory 2386.1.3. Parallelepiped fin 2426.2. Examples of application 249Appendices 263Appendix 1. Heat Equation of a Three-dimensional System 265Appendix 2. Heat Equation: Writing in the Main Coordinate Systems 273Appendix 3. One-dimensional Heat Equation 283Appendix 4. Conduction of the Heat in a Non-stationary Regime: Solutions to Classic Problems 291Appendix 5. Table of erf (x), erfc (x) and ierfc (x) Functions 295Appendix 6. Complementary Information Regarding Fins 297Appendix 7. The Laplace Transform 301Appendix 8. Reminders Regarding Hyperbolic Functions 309References 313Index 315

O autorze

Michel Ledoux was Professor and Vice-President at the University of Rouen, France. He was also Director of the UMR CNRS CORIA, then Regional Delegate for Research and Technology in Upper Normandy, France. Specializing in fluid mechanics and transfers, he has worked in the fields of reactive boundary layers and spraying. Currently retired, he is an adviser to the Conservatoire National des Arts et Metiers in Normandy, collaborating with the Institute of Industrial Engineering Techniques (ITII) in Vernon, France.Abdelkhalak El Hami is Full Professor of Universities at INSA-RouenNormandie, France. He is the author/co-author of several books and is responsible for the Chair of mechanics at the Conservatoire National des Arts et Metiers in Normandy, as well as for several European pedagogical projects. He is a specialist in problems of optimization and reliability in multi-physical systems.