Role of cloud droplets on the removal of gaseous pollutants from the atmosphere: A nonlinear model

International Journal of Applied Mathematics and Computation

Shyam Sundar²  Ram Naresh¹ 

[1] H.B.Technological Institute Kanpur-208002, India$$;PSIT Kanpur$$

关键词: Gaseous pollutants;    precipitation;    cloud droplets;    stability;    computer simulation.;   

DOI  :  10.0000/ijamc.2011.3.4.479

来源: PSIT Kanpur

【 摘 要 】

In this paper, we have proposed a four-dimensional nonlinear mathematical model to see the effect of density of cloud droplets on the removal of gaseous pollutants by rain in the atmosphere. The atmosphere, during rain, is assumed to consist of four nonlinearly interacting phases i.e. the phase of cloud droplets, the phase of raindrops, the phase of gaseous pollutants and the absorbed phase of gaseous pollutants in the raindrops. It is further assumed that these phases undergo ecological type growth and nonlinear interactions. The proposed model is analyzed by stability theory of differential equations and computer simulations. It is shown that the cumulative concentration of pollutants decreases due to rain and its equilibrium level depends upon the density of cloud droplets, the rate of formation of raindrops, emission rate of pollutants, the rate of falling absorbed phase on the ground, etc.  It is noted here that if due to unfavorable conditions, cloud droplets are not formed, gaseous pollutants would not be removed due to non-occurrence of rain.

【 授权许可】

Unknown