Optimization of wind speed and vertical diffusion from source near the ground

Khaled sadek Essa, aziz mina, Hany Hamdy, Shaban Abdel Moiez

Abstract


In this paper, the advection-diffusion equation was solved in two dimensions to calculate the crosswind integrated concentration by Laplace technique. Taking different two shaped for the wind speed and the eddy diffusivity in stable and unstable conditions (Businger 1973). A comparison between two predicted models, and observed data measured at Prairie Grass (Barad, 1958) diffusion experiment in O’Neill, Nebraska, 1956, has been carried out. One finds that there was a good agreement between our two predicted models and the observed concentrations. Also from the statistical technique, one can conclude that two predicted models perform better with the observed concentrations.

Keywords


Diffusion Equation, Laplace Technique, Wind Speed, Eddy Diffusivity, friction velocity.

Full Text:

PDF

References


Barad M. L. (Ed) (1958). Project Prairie Grass, A field program in diffusion, vol. 1., Geophysics Research Paper no. 59, Geophysics Research Directorate, Air Force Cambridge Research Center.

Busnger J.A. (1973) In workshop of Micrometeorology, Haugen D. A. (ED), American Meteorological Society.

Hanna, S. R., 1989, “confidence limit for air quality models as estimated by bootstrap and Jacknife resem¬bling methods”, Atom. Environ. 23, 1385-1395.

John M. Stock I. E. (2011). The Mathematics of Atmospheric Dispersion Modeling. SIAM Review, Vol. 53. No. 2, pp. 349-372.

Khaled S.M. Essa, Aziz N. Mina, Hany S. Hamdy, Fawzia Mubarak and Ayman A. khalifa (2017) under publication in NRIAG Astronomy and geophysics

Khaled S. M. Essa and Sawsan. E. M. Elsaid. (2015): “Solving the Advection-Diffusion Equation in Three Dimensions in Neutral Case”, Pyrex Journal of Ecology and the Natural Environment Vol 1 (1) pp. 001-006.

Khaled S. M. Essa, Sawsan E. M. Elsaid and Fawzia Mubarak (2015), "Time-Dependent Advection-Diffusion Equation in Two Dimensions" Journal of Atmosphere, 1(1): 8-16.

Lin, J .S., Hildemann, L.M., (1996): "Analytical Solutions of the Atmospheric Diffusion Equation with Multiple Sources and Height-Dependent Wind Speed and Eddy Diffusivities", Atmospheric Environment 30, 239-254.

Palazzi, E., De Faveri, M., Fumarola, G., Ferraiolla, G., (1982), Diffusion from a steady source of short duration, Atmospheric Environment 16, 2785–2790.

Pramod Kumar (2010): “Analytical Models for Dispersion of Pollutants in the Atmospheric Boundary Layer”, Ph.D., Indian Institute of Technology Delhi, Indian.

Singh K. M, Tanaka M. (2000): “On Exponential Variable Transformation Based Boundary Element Formulation for Advection-Diffusion Problems”, Eng Anal Bound Elem; 24: 225-235.

Tirabassi Tiziano and Vilhena Marco T. (2012): “Advection-Diffusion in the Atmosphere: Equations and Solutions”, Atmospheric Flow Field: Theory, Numerical Methods and Software Tools, 153-173.

Van Ulden A. P. (1978): “ Simple estimates for vertical diffusion from sources near the ground”, Atmospheric Environment Vol. 12, pp 2125-2129.


Refbacks

  • There are currently no refbacks.


Copyright (c) 2018 The Journal of Applied Sciences Research

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.