Journal of
Chemical Engineering and Materials Science

  • Abbreviation: J. Chem. Eng. Mater. Sci.
  • Language: English
  • ISSN: 2141-6605
  • DOI: 10.5897/JCEMS
  • Start Year: 2010
  • Published Articles: 92

Full Length Research Paper

Time dependent mathematical model of air pollutants emitted from time-dependent elevated line source into a stable atmospheric boundary layer

Moka Shekhu
  • Moka Shekhu
  • Department of Science, Government Polytechnic, Chennasandra, Bangalore-560067, India
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C. Sulochana
  • C. Sulochana
  • Department of Mathematics, Gulbarga University, Gulbarga, Karnataka, India
  • Google Scholar


  •  Accepted: 30 November 2013
  •  Published: 31 December 2013

Abstract

A time dependent atmospheric model is represented for chemically reactive primary pollutants emitted from an elevated line source into a stable atmospheric boundary layer, over rough surface terrains. The time dependent model was obtained through an analytical solution from a multiple Inverse Laplace transform of the atmospheric diffusion equation with the parabolic eddy-diffusion coefficient (exchange coefficient) and the wind velocity as functions of vertical height. The pollutants were considered to be of chemically reactive primary pollutants emitted from a time-dependent line source of, step-Function type. In order to facilitate the application of the model, the results for the general situation that includes chemical reaction rate and time dependent line source are incorporated in the model. In this model, the effect of step-function type elevated line source studied near the source. The results obtained in this model are compared with that of the continuous line sources in the previous work. The results obtained in this model are of good agreement with that of the continuous line source.

Key words: Stable-atmospheric boundary layer (SBL), Step-function type line sources, parabolic eddy-diffusion coefficient.