This first document describes a general framework for the transport of heat and mass. The diffusion equations (Fourier and Fick’s laws) are extended to take into account transport by convection (here convection refers to the macroscopic motion of a fluid).
Steady state one dimensional diffusion problems
This second document shows how to solve one dimensional steady state diffusion problems, in particular with source terms. It introduces the notion of effective transfer coefficient at an interface and thermal resistance. As an example, the concepts described are used to derive the bioheat equation modeling heat transfer in living tissues.
Radiative heat transfer
This document describes the characteristics of the electromagnetic radiation emitted by a body at finite temperature. It shows how one can compute the exchange of energy by radiation between two bodies.
Combined convection and diffusion
This document analyses the interplay between convection and diffusion in situations when the Peclet number is large and when thin transport boundary layers control the flux of heat or mass.
Thermal convection
This document describes the basis of thermal convection and introduces the relevant dimensionless numbers through the analysis of a simple case.
Heat exchangers
This document analyses the flow of heat within a counter curent heat exchanger, with application to heat transfer in fins of marine mammals.
Exam
The exam was based on two publications by S. Ward et al. on heat transfer from starlings : « Heat transfer from starlings sturnus vulgaris during flight » and « Metabolic power of European starlings sturnus vulgaris during flight in a wind tunnel, estimated from heat transfer modelling, doubly labelled water and mask respirometry« .
Composition Partie Pédagogique :
- General laws for transport of heat and mass
- Steady state one dimensional diffusion problems
- Radiative heat transfer
- Combined convection and diffusion
- Thermal convection
- Heat exchangers
- Exam 2017