Lehrinhalte
1. Introduction
1.1. Differential equations in heat transfer: Definitions and examples
2. Methods of solution of linear partial differential equations
2.1. Separation of variables
2.2. Fourier series
2.3. Sturm - Liouville problems
2.4. Special functions
2.5. Integral transforms
3. Introduction into nonlinear problems and advanced solution methods
3.1. Perturbation methods
3.2. Heat transfer in thin films
3.3. Stability analysis
Literature
A summary is distributed weekly in the lectures.
Voraussetzungen
basic knowledge in mathematics and heat transfer
Online materials
slides of lectures, videos, matlab scripts
1. Introduction
1.1. Differential equations in heat transfer: Definitions and examples
2. Methods of solution of linear partial differential equations
2.1. Separation of variables
2.2. Fourier series
2.3. Sturm - Liouville problems
2.4. Special functions
2.5. Integral transforms
3. Introduction into nonlinear problems and advanced solution methods
3.1. Perturbation methods
3.2. Heat transfer in thin films
3.3. Stability analysis
Literature
A summary is distributed weekly in the lectures.
Voraussetzungen
basic knowledge in mathematics and heat transfer
Online materials
slides of lectures, videos, matlab scripts
- Lehrende: Tatiana Gambaryan-Roisman
Semester: Verão 2023