Cloud droplets scavenging of gaseous pollutant from the atmosphere: nonlinear modelling and analyses

The principle of how hazardous pollutants are annulled by rain, dew or precipitations has been a subject of interest in addressing environmental challenges and climate change. This scavenging process when studied generates nonlinear dynamic models that require robust techniques for obtaining their solutions before use for predictions. Consequently, this work presents analytical solutions to such unsteady processes using PADE-Homotopy perturbation method (PADE-HPM) and Multi-step differential transform method (MSDTM). The obtained solutions are verified via a numerical finite difference method (FDM). These methods demonstrate adequate aptitude for predicting the scavenging processes. Furthermore, the study of the controlling parameters shows that reduction in the formation rate of the annulling agents causes a corresponding decrease in the density of the available raindrop for scavenging. Meanwhile, augmentation in formation rate rapidly neutralizes pollutants from the atmosphere. A synonymous impact is realized for growth rate parameter. In addition, it is established that as the transformation rates of hazardous gases reduce while scavenging processes are augmented, the threat posing pollutants would be completely annulled. It is envisaged that the present study will find usage in overcoming one of the dares facing the world at large on scavenging of hazardous pollutants.