Lehrinhalte
1. Introduction
1.1. Differential equations in heat transfer: Definitions and examples
1.2. Boundary value and initial value problems
1.3. Outlook of different solution methods
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. Similarity solutions
Literatur
A summary is distributed weekly in the lectures.
Voraussetzungen
basic knowledge in mathematics and heat transfer
1. Introduction
1.1. Differential equations in heat transfer: Definitions and examples
1.2. Boundary value and initial value problems
1.3. Outlook of different solution methods
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. Similarity solutions
Literatur
A summary is distributed weekly in the lectures.
Voraussetzungen
basic knowledge in mathematics and heat transfer
- Lehrende: Tatiana Gambaryan-Roisman
Semester: ST 2021