|The following files are lecture
notes developed for part of a short course on Environmental Fluid
Mechanics at the University of Granada, Spain.
General remarks, Fick's Law, and derivation of the advective-reactive diffusion equation.
Self-similarity and the solution for advective diffusion of an instantaneous point source in one-dimension.
- Introduction to Turbulence
Qualitative and quantitative description of turbulence, turbulent length and time scales, statistical methods, and
the energy cascade.
- Turbulent Mixing
Derivation of the turbulent diffusion equation and discussion of near- and far-field turbulent diffusion processes.
- Jets and Plumes I
Self-similarity theory, entrainment and spreading hypotheses, integral models, axial jet and plume equations in stagnant
Solutions to the advective diffusion equation and applications
to near-field turbulent mixing in rivers.
Taylor's analysis for the derivation of the longitudinal
dispersion coefficient in a one-dimensional turbulent shear flow.
- Far-Field River Mixing
Calculating and measuring the longitudinal dispersion
coefficient in rivers and predicting the fate of contaminant sources.
in Lakes and Reservoirs
Buoyancy effects, simple physical limnology, and criteria effecting mixing (Richardson number).
- Jets and Plumes II
Effects of stratification, non-trivial geometries, crossflows,
and an introduction to the Cornell Mixing-Zone Model (CORMIX).
- Numerical Modeling
Introduction to the methodology of water quality modeling.
Summary of hydrodynamic models and differences between DNS, LES, and RANS. Summary of transport models and issues of
- Open Forum
Open discussion (question and answer period) and end of course.
Demonstrations of typical computer models.