Computing and Simulation for Engineers

7 Modeling the Role of Rain in Cleaning the Environment

Sandeep Sharma and Fateh Singh

DIT University, Dehradun

DOI: 10.1201/9781003222255-7

CONTENTS

1. Nomenclature
2. 7.1 Introduction
3. 7.2 Mathematical Model
4. 7.3 Equilibrium Analysis
5. 7.4 Stability Analysis
   1. 7.4.1 Local Stability
   2. 7.4.2 Global Stability
6. 7.5 Numerical Simulation
7. 7.6 Conclusions
8. References

Nomenclature

$T$	Density of the raindrops
$\mathbf{G}$	Concentration of the gaseous pollutants
$P_1$	Concentration of the particulate matter formed naturally
$P_2$	Concentration of the particulate matter generated through various anthropogenic activities
${\mathbf{G}}_a$	Concentration of the gaseous pollutants in the absorbed phase
r	Rate of raindrops generation
$\alpha$	Natural depletion rate of the raindrops