Atmosphere 2011, 2(2), 21-35; doi:10.3390/atmos2020021
Article

An Analytical Simple Formula for the Ground Level Concentration from a Point Source

Tiziano Tirabassi 1,* email, Alessandro Tiesi 1 email, Marco T. Vilhena 2 email, Bardo E.J. Bodmann 2 email and Daniela Buske 3 email
1 Institute of Atmospheric Science and Climate (ISAC), National Council of Researches (CNR), Via Gobetti, 101, I-40129 Bologna, Italy 2 Departamento de Engenharia Mecânica, Universidade Federal do Rio Grande do Sul (UFRGS), Sarmento Leite, 425, 3° andar, Porto Alegre, RS 90046-900, Brazil 3 Departamento de Matemática e Estatística (IFM/DME), Universidade Federal de Pelotas (UFPel), Pelotas, RS 96010-900, Brazil
* Author to whom correspondence should be addressed.
Received: 30 January 2011; in revised form: 2 March 2011 / Accepted: 8 March 2011 / Published: 24 March 2011
(This article belongs to the Special Issue Air Pollution Modeling: Reviews of Science Process Algorithms)
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Abstract: The Advection-Diffusion Equation is solved for a constant pollutant emission from a point-like source placed inside an unstable Atmospheric Boundary Layer. The solution is obtained adopting the novel analytical approach: Generalized Integral Laplace Transform Technique. The concentration solution of the equation is expressed through an infinite series expansion. After setting a realistic scenario through the wind and diffusivity parameterizations, the Ground Level Concentration (GLC) is determined, and an explicit approximate expression is provided for it, allowing an analytically simple expression for the position and value of the maximum. Remarks arise regarding the ability to express value and position of the GLC as explicit functions of the parameters defining the Atmospheric Boundary Layer scenario and the source height.
Keywords: air pollution modeling; analytical solutions; advection-diffusion equation; maximum concentration

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MDPI and ACS Style

Tirabassi, T.; Tiesi, A.; Vilhena, M.T.; Bodmann, B.E.; Buske, D. An Analytical Simple Formula for the Ground Level Concentration from a Point Source. Atmosphere 2011, 2, 21-35.

AMA Style

Tirabassi T, Tiesi A, Vilhena MT, Bodmann BE, Buske D. An Analytical Simple Formula for the Ground Level Concentration from a Point Source. Atmosphere. 2011; 2(2):21-35.

Chicago/Turabian Style

Tirabassi, Tiziano; Tiesi, Alessandro; Vilhena, Marco T.; Bodmann, Bardo E.J.; Buske, Daniela. 2011. "An Analytical Simple Formula for the Ground Level Concentration from a Point Source." Atmosphere 2, no. 2: 21-35.

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