Course

None

This course provides modelling of thermal systems with a particular focus on building applications. Mathematical methods and their physical applications are explained. The course uses the basics of heat transfer and fluid mechanics, as well as thermodynamics, to derive transient and stationary models of thermal systems.

• Modelling and numerical solution of transient thermodynamic systems such as thermal storage,
• Applied numerics in the simulation of thermal systems (GDGl., special cases of the heat conduction equation),
• Model accuracy,
• System identification, condition estimator,
• Handling of real measurement data, approaches for verification of model-based approaches (e.g. hardware in the loop),

Students know typical methods for modelling thermal systems and their identification on the basis of real measurement data. The students are able to apply numerical and analytical mathematical methods for the calculation of transient system behavior. The students

• can outline and name numerical and analytical solutions for ordinary differential equations
• know possible approaches for the system identification of thermal systems on the basis of experimentally obtained measured values and can outline them
• are able to derive typical model formulations for given problems on transient energy conservation for thermal systems
• know how to discuss different approaches for the simulation of thermal systems with regard to their model accuracy and the resulting suitability for the application.
• can mathematically model simple thermal systems based on basic physical principles (impulse and energy conservation) and propose and apply numerical approaches to solutions
• are able to calculate system parameters of thermal systems on the basis of measurement data and to interpret them physically

Lecture with integrated exercise

• Preparation and delivery of written exercise examples
• Final test

None

• Bähr, Hans Dieter (2019): Wärme und Stoffübertragung. 10. Aufl. Berlin Heidelberg: Springer.
• Dhar, P. L. (2017): Thermal system design and simulation. Amsterdam: Elsevier/AP, Academic Press is an imprint of Elsevier.
• Penoncello, S. G. (2018): Thermal energy systems: design and analysis. Second edition. Boca Raton: Taylor & Francis, CRC Press.

Presence course. Students will be informed of the lecturer's attendance requirements before the start of the course.