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


The full course script is available also as a WinZip archive.  


  1. Introduction
    General remarks, Fick's Law, and derivation of the advective-reactive diffusion equation.

  2. Instantaneous Point-source Solution
    Self-similarity and the solution for advective diffusion of an instantaneous point source in one-dimension. 

  3. Introduction to Turbulence
    Qualitative and quantitative description of turbulence, turbulent length and time scales, statistical methods, and the energy cascade.

  4. Turbulent Mixing
    Derivation of the turbulent diffusion equation and discussion of near- and far-field turbulent diffusion processes.

  5. Jets and Plumes I
    Self-similarity theory, entrainment and spreading hypotheses, integral models, axial jet and plume equations in stagnant ambient conditions.

  6. Near-Field River Mixing
    Solutions to the advective diffusion equation and applications to near-field turbulent mixing in rivers.

  7. Longitudinal Dispersion
    Taylor's analysis for the derivation of the longitudinal dispersion coefficient in a one-dimensional turbulent shear flow.

  8. Far-Field River Mixing
    Calculating and measuring the longitudinal dispersion coefficient
    in rivers and predicting the fate of contaminant sources.

  9. Mixing in Lakes and Reservoirs
    Buoyancy effects, simple physical limnology, and criteria effecting mixing (Richardson number).

  10. Jets and Plumes II
    Effects of stratification, non-trivial geometries, crossflows, and an introduction to the Cornell Mixing-Zone Model (CORMIX).

  11. 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.

  12. Open Forum
    Open discussion (question and answer period) and end of course.  Demonstrations of typical computer models.