Computational Heat Transfer

Aim

After completion of the course, the student must be able to:

• Describe basic principles of heat transfer including laws of thermodynamics and modes of heat transfer (conduction, convection and radiation)
• Describe the physical and mathematical characteristics of problems involving heat transfer.
• Explain and discuss the importance of different modes of heat transfer for problems of different levels of complexity involving heat and energy transfer.
• Apply appropriate solution strategy for solving heat transfer problems. This include the choice of relevant equations, boundary conditions, implementation of numerical schemes, spatial and temporal resolution (meshing and time resolution), solver set up and post-processing of the results.
• Solve heat transfer problems of industrial relevance with different level of complexity using commercial software and through appropriate modeling and simulation strategy, assumptions, simplification, choice of heat transfer mode, boundary conditions, etc.
• Evaluate and verify the results of a modeled heat transfer problem through verification, validation and know-how.

Content

Basic relations for heat transport in fluids and solids. Heat transport across material boundaries. Modelling techniques. Numerical computational methods in heat transfer, especially. The finite difference method. Discretization techniques. Explicit and implicit numerical methods for one- and two-dimensional problems, both steady-state and non-steady.