Università Roma Tre

Diffusion Equation (DE):
- definition of quantities involved
- dimensional analysis and Buckingham theorem
- "Fickian" diffusion
- diffusion coefficients
- 1D and 2D DE, and some analytical solutions:
i) instantaneous point source
ii) instantaneous uniform source
iii) constant point source
- impervious boundary conditions

Advection-Diffusion Equation (ADE) :
- Advection and diffusion spatial and temporal scales
- some analytical solutions for 1D ADE:
i) instantaneous point source
ii) instantaneous uniform source
iii) constant point source

Turbulent Diffusion (TD)
- TD in rivers:
i) longitudinal and transverse TD
ii) longitudinal dispersion: Taylor-Elder theory
- how to quantify longitudinal dispersion:
i) semi-empirical formulae
ii) method of moments
iii) tracers

Reacting solutes
- kinetic temporal scale vs convective ones
- first and second order
- ADE with homogeneous and heterogeneous reactions
- heterogeneous reactions:
i) air-water interface : Streeter-Phelps equation
ii) sediment-water interface: adsorption

Water quality models
- how to choose a model
- CSTR, PLug-flow

excercises

Socolofsky, Jirka - Special Topics in Mixing and Transport Processes in the Environment - 5th Edition, 2005