tion id="u6bb6efb0-b096-51f3-8812-daac402ae8f2">
Contents
1 Cover
4 Preface
5 Introduction I.1. Preamble I.2. Introduction I.3. Interlude
6 1 The Problem of Thermal Conduction: General Comments 1.1. The fundamental problem of thermal conduction 1.2. Definitions 1.3. Relation to thermodynamics
7 2 The Physics of Conduction 2.1. Introduction 2.2. Fourier’s law 2.3. Heat equation 2.4. Resolution of a problem 2.5. Examples of application
8 3 Conduction in a Stationary Regime 3.1. Thermal resistance 3.2. Examples of the application of thermal resistance in plane geometry 3.3. Examples of the application of the thermal resistance in cylindrical geometry 3.4. Problem of the critical diameter 3.5. Problem with the heat balance
9 4 Quasi-stationary Model 4.1. We can perform a simplified calculation, adopting the following hypotheses 4.2. Method: instantaneous thermal balance 4.3. Resolution 4.4. Applications for plane systems 4.5. Applications for axisymmetric systems
10 5 Non-stationary Conduction 5.1. Single-dimensional problem 5.2. Non-stationary conduction with constant flow density 5.3. Temperature imposed on the wall: sinusoidal variation 5.4. Problem with two walls stuck together 5.5. Application examples
11 6 Fin Theory: Notions and Examples 6.1. Notions regarding the theory of fins 6.2. Examples of application
12 Appendices Appendix 1: Heat Equation of a Three-dimensional System A1.1. Reminder: writing the Fourier law A1.2. Heat equation Appendix 2: Heat Equation: Writing in the Main Coordinate Systems A2.1. The elementary volume A2.2. Problem with variable physical properties A2.3. Problem with constant physical properties A2.4. Time-independent regime A2.5. Writing the Fourier law. How can the expression for the gradient be found? Appendix 3: One-dimensional Heat Equation A3.1. Case of an axisymmetric system A3.2. Case of a spherical system Appendix 4: Conduction of the Heat in a Non-stationary Regime: Solutions to Classic Problems Appendix 5: Table of erf (x), erfc(x) and ierfc(x) Functions Appendix 6: Complementary Information Regarding Fins A6.1. Rectangular wings. Solutions to classic problems Appendix 7: The Laplace Transform A7.1. Definition A7.2. Derivatives and integrals A7.3. We will give two examples A7.4. Resolution of a problem of single-dimensional non-stationary transfer Appendix 8: Reminders Regarding Hyperbolic Functions
13 References
14 Index
List of Illustrations
1 Chapter 2Figure 2.1. Diagram of a simplified device for determining Fourier’s law. For a ...Figure 2.2. Linear temperature profile in a homogeneous material. For a color ve...Figure 2.3. Case of two infinitely