Steady State Dispersion of Non-buoyant Air Pollutants with Variable Wind Profile and Removal Mechanism

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Prem Sagar Bhandari, Shweta Srivastava, Manju Agarwal, Vijai Shanker Verma

Abstract

In this paper, a mathematical model is proposed to study the steady state dispersion of non-buoyant air pollutants emitted from a continuous point source. The effect of wind velocity is taken in the form of a power function that changes with downwind and crosswind distances. The concept of removal mechanism is also incorporated in the model. The concentration profile of non-buoyant air pollutants is computed and variations of the downwind and crosswind distances for a range of parametric values are analyzed. The results are explained graphically. It is found that the curves drawn demonstrate the consistent behavior with different vertical distances for 0 ≤  ≤ 1, while keeping the crosswind distance constant. Also, the downwind distance is increased with a consistent decrease in the concentration profile. The curves with different crosswind distance values and a constant vertical distance also show uniform behavior for 0 ≤  ≤ 1. Concentration profiles have been found to be symmetric for 1 ≤ ≤ 1 with varying downwind distance values while maintaining a constant vertical distance value.

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Author Biography

Prem Sagar Bhandari, Shweta Srivastava, Manju Agarwal, Vijai Shanker Verma

Prem Sagar Bhandari1, Shweta Srivastava2, Manju Agarwal3, Vijai Shanker Verma4*

1 Department of Mathematics, Birendra Multiple Campus, Tribhuvan University, Nepal

2Department of Mathematics, I T College Lucknow, India

3Department of Mathematics and Astronomy, Lucknow University, Lucknow, India

4 Department of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur, India

1premsagar61075@gmail.com  , 2 shwetasrivastava791@gmail.com, 3manjuak@yahoo.com

*Correspondence Author: Vijai Shanker Verma4, Email: drvsverma01@gmail.com