Mathematical Treatment for the Pollutant Dispersion Considering the Ground as an Absorber‐Reflector Surface for the Pollutant

Al‐Seroury, F. A.

doi:doi:10.1063/1.3663134

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AIP Conference Proceedings / Volume 1400

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Mathematical Treatment for the Pollutant Dispersion Considering the Ground as an Absorber‐Reflector Surface for the Pollutant

AIP Conf. Proc. 1400, pp. 312-318; doi:http://dx.doi.org/10.1063/1.3663134 (7 pages)

INTERNATIONAL CONGRESS ON ADVANCES IN APPLIED PHYSICS AND MATERIALS SCIENCE

Date: 12–15 May 2011

Location: Antalya, (Turkey)

F. A. Al‐Seroury

Faculty of Science, King Abdul‐ Aziz University, Jeddah, Kingdom of Saudi Arabia

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A two‐dimensional Steady‐state, mathematical modeling has been presented for the pollutant released from an elevated source in an inversion layer. The study presents a treatment for computing the pollutant concentration distribution under a physically realistic boundary condition which considers the ground as an absorber‐reflector surface for the pollutant simultaneously. The wind speed is parameterized in terms of vertical height using the power law profile. The partial differential equation describing the advection‐diffusion of pollutants has been solved using separation of variables method. An upper boundary condition which assumes the presence of capping inversion is taken into consideration. The mathematical formulation for the pollutant concentration distribution obtained in the present treatment is given in terms of Bessel and Gamma functions.