Advanced Heat Transfer

In this course the concepts en mathematics of heat transfer in the engineering context are treated.

Elementary understanding of the three modes of heat transfer - conduction, convection and radiation - will be briefly reviewed during the first two lectures.

During the remainder of the course, the underlying physics will be emphasized and advanced mathematical formulations will be explained. Typically, to course is focused on the analysis of heat transfer as it is encountered in real life applications.

Subjects in order of appearance:

- A refresher on the underlying thermodynamics; energy, enthalpy, specific heats and phase change enthalpy.

- A refresher on BSc. level Conduction, Convection and Radiation.

- Integral and differential energy balances in a 1-D and multiple-D continuum; absorption, reaction and dissipation as source terms.

- Stationary conduction: cooling fins, multi-dimensional conduction and Laplace’ equation; boundary conditions; analytical techniques en numerical techniques.

- Instationary conduction: Fourier and Biot number; boundary conditions; analytical techniques en numerical techniques; stability criteria.

- Phase change as a boundary phenomenon; melting and solidification fronts; Jakob number en Stefan condition; integral approximation method.

- Forced en Free convection: Nusselt, Stanton, Prandtl en Peclet numbers; analysis and the physics of thermal boundary layers and fully developed (internal) fluid flows. The physical reasoning behind empirical correlations. The role of boundary conditions.

- Radiation: radiative exchange between grey bodies, solar radiation, spectral characteristics, surface characteristics.