Removal by rain of two gaseous pollutants and a particulate Matter formed by these two reacting gases from the atmosphere: A model

International Journal of Applied Mathematics and Computation

J.B. Shukla¹  Shyam Sundar²  Ram Naresh³ 

[1] BIT, BIIFRD, Bhabha Group of Institutions, Kanpur (Rural)-209204, India$$;P.S. Institute of Technology, Kanpur-208020, India$$;HBTI Kanpur, India$$

关键词: Gaseous Pollutants;    Particulate matters;    Stability Analysis;    Precipitation;    Simulation;   

DOI  :  10.0000/ijamc.2012.4.2.493

来源: PSIT Kanpur

【 摘 要 】

In this paper, a mathematical model is proposed and analyzed to study the removal by rain of two gaseous pollutants and a particulate matter formed by these two reacting gases from the atmosphere. The atmosphere is assumed to consist of six phases i.e. the phase of raindrops, the two phases of gaseous pollutants, their corresponding absorbed phases in raindrops and the phase of a particulate matter formed by these two chemically reacting gaseous pollutants. The dynamics of these phases is assumed to be governed by the ordinary differential equations with source, nonlinear interaction, and removal terms. The proposed model is analyzed by using stability theory of differential equations and computer simulation. It is shown that under appropriate conditions, the pollutants can be removed from the atmosphere by rain significantly and the removed amount would depend upon the rates of discharges of gaseous pollutants, the rate of formation of particulate matter and the intensity of rain. It is found that if the rate of chemical reaction forming the phase of the particulate matter is large, the two gaseous pollutants would be removed completely from the atmosphere.

【 授权许可】

Unknown