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G. K. Batchelor, “Diffusion in a Field of Homogeneous Turbulence, Eulerian Analysis,” Australian Journal of Scientific Research, Vol. 2, 1949, pp. 437-450.

has been cited by the following article:

• TITLE: Air Pollution Steady-State Advection-Diffusion Equation: The General Three-Dimensional Solution

  AUTHORS: Daniela Buske, Marco Túllio Vilhena, Tiziano Tirabassi, Bardo Bodmann

  KEYWORDS: Advection-Diffusion Equation; Analytical Solution; Laplace Transform; Air Pollution Modeling; Atmospheric Boundary Layer; Eulerian Models

  JOURNAL NAME: Journal of Environmental Protection, Vol.3 No.9A, September 27, 2012

  ABSTRACT: Atmospheric air pollution turbulent fluxes can be assumed to be proportional to the mean concentration gradient. This assumption, along with the equation of continuity, leads to the advection-diffusion equation. Many models simulating air pollution dispersion are based upon the solution (numerical or analytical) of the advection-diffusion equation as- suming turbulence parameterization for realistic physical scenarios. We present the general steady three-dimensional solution of the advection-diffusion equation considering a vertically inhomogeneous atmospheric boundary layer for arbitrary vertical profiles of wind and eddy-diffusion coefficients. Numerical results and comparison with experimental data are shown.