Number of hours
- Lectures 6.0
- Projects 0
- Tutorials 18.0
- Internship 0
- Laboratory works 0
ECTS
ECTS 2.0
Goal(s)
Present and describe the laws of mass transfer
Describe point defects in solids
Quantifying the phenomena relating to mass transfers in fluids and solids
Study of the laminar and turbulent boundary layers
Study of specific cases involving mass transfer
Content(s)
Part I: Mass transfer in fluids
1. Introduction
2- Mass transfer
Simulation of gas dynamics
Concentrations / titers, mass / molars
Fick's law for binary and/or diluted mixtures
Diffusivity of gases and liquids
3- Global and local equations
Conservation of the flow of a species in 1D stationary pure convective
Generalization: diffusion, unsteady state, chemical reactions
Boundary conditions
Local transport equation for a chemical species
4- Laminar and turbulent boundary layers
Boundary layer equation
Boundary layer calculation results
Turbulence: notion of turbulent viscosity
Uses of numerical correlations
5- Analogies with heat transfer and use of correlations
Similarity of equations
Similarity of transfer laws
Examples
Part II: Mass transfer in solids
1. Introduction
2- Diffusion and mass transport in solids
3- Defects in solids
4- Atomic diffusion theory
5- Autodiffusion
6- Heterodiffusion
7- Diffusion and transport in alloys and compounds (interdiffusion)
8- Diffusion at interfaces
9- Reactive diffusion
10- Diffusion equation solutions for some specific cases
11- Diffusion in ternary systems (elementary notions)
Prerequisites
Crystallography, thermodynamic of solutions, phase diagrams
- In presence
Session 1:
Written exam, 2h, the only permitted document: 1 page A4 double-sided handwritten, calculator allowed
Session 2:
Written exam, 2h, the only permitted document: 1 page A4 double-sided handwritten, calculator allowed
- Confinement:
Session 1:
Written exam, 2h, documents and calculator allowed, monitored by zoom
Session 2:
Written exam, 2h, documents and calculator allowed, monitored by zoom
Session 1 :100% examen écrit
Session 2 :100% examen écrit
B.R. Bird, W.E. Stewart, E.N. Lightfoot, Transport Phenomena, John Wiley & Sons, 2006
F.P. Incropera, D.P. DeWitt, Fundamentals of Heat and Mass Transfer, 4ème edition, Wiley, 1996
J. Philibert, Diffusion et transport dans les solides, Les éditions de la physique, 1985
P. Shewmon, Diffusion in solids, 2ème édition. The Minerals, Metals and Materials Society, USA, 1989
M. Barsoum, Fundamentals of Ceramics, Mc Graw-Hill Companies, Inc., 1997
J. Crank, The Mathematics of Diffusion, Clarendon Press, Oxford, 1975