

Introduction
The following files are lecture
notes developed for part of a short course on Environmental Fluid
Mechanics at the University of Granada, Spain.

Contents
 Introduction
General remarks, Fick's Law, and derivation of the advectivereactive diffusion equation.
 Instantaneous
Pointsource Solution
Selfsimilarity and the solution for advective diffusion of an instantaneous point source in onedimension.
 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 farfield turbulent diffusion processes.
 Jets and Plumes I
Selfsimilarity theory, entrainment and spreading hypotheses, integral models, axial jet and plume equations in stagnant
ambient conditions.
 NearField
River Mixing
Solutions to the advective diffusion equation and applications
to nearfield turbulent mixing in rivers.
 Longitudinal
Dispersion
Taylor's analysis for the derivation of the longitudinal
dispersion coefficient in a onedimensional turbulent shear flow.
 FarField River Mixing
Calculating and measuring the longitudinal dispersion
coefficient in rivers and predicting the fate of contaminant sources.
 Mixing
in Lakes and Reservoirs
Buoyancy effects, simple physical limnology, and criteria effecting mixing (Richardson number).
 Jets and Plumes II
Effects of stratification, nontrivial geometries, crossflows,
and an introduction to the Cornell MixingZone 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
model coupling.
 Open Forum
Open discussion (question and answer period) and end of course.
Demonstrations of typical computer models.

