Mathematical investigation of diffusion and decomposition of pollutants as a basic issue in water stream pollution
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ORIGINAL PAPER
Mathematical investigation of diffusion and decomposition of pollutants as a basic issue in water stream pollution Farshad Farahbod 1 Received: 30 January 2020 / Accepted: 20 August 2020 # Saudi Society for Geosciences 2020
Abstract The main objective of study is to express the mathematical model for the emission of pollutants in the flow of water. For the modeling of pollutant emission, the physical principles are expressed, and simple hypotheses are expressed by the mathematical expressions derived from the stability equations of the mass. Therefore, boundary conditions are considered in solving the extracted equations. The results show that the increase in the production time of pollutants in both directions x and y is due to wave depletion in 40 s, and emission concentration of the pollutant gradually decreases (consider the dimensions of the z axis). Also, increasing the time to 40 s increases the density of pollutant in the direction of x and z by eliminating the wave after 40 s, and finally the pollution of the pollutant decreases due to chemical pollution and transmission by diffusion. The results show the effect of a reaction rate constant increasing from k = 0 to k = 0.04 min−1 on the distribution of contaminant concentration in the x direction at different times. The results show that if the reaction rate constant was zero, there is no use of mass inside the system. Moreover, the results show that the pollutant concentration will increase by increasing contact time from 0.003 to 0.197 mmol/cm3. Keywords Mathematical . Diffusion . Decomposition . Pollutants . Diffusion and decomposition . Water
Introduction Pollution of water in rivers, lakes, and underground reservoirs is one of the serious concerns in the environmental field (AlMamun et al. 2018; Osman 2020). This infection is usually due to human activities; industrial and domestic contaminates are the main causes of water pollution (Farahbod et al. 2012; Osman 2020). Information about the consequences of pollution and its prediction through the modeling process can play an important role in controlling and eliminating contamination (Rathinam et al. 2018). The use of adsorbents, especially nano-adsorbents, can play a significant role in reducing water pollution (Mo et al. 2018). Also, if nano-adsorbents with magnetic properties are used, the process of removing contaminants from the water will be accelerated (Chen et al. 2019;
Responsible Editor: Broder J. Merkel * Farshad Farahbod [email protected]; [email protected] 1
Department of Chemical Engineering, Firoozabad Branch, Islamic Azad University, Firoozabad, Iran
Abdel Maksoud et al. 2020). Moreover, the researches show that the use of membranes in bioreactors to remove sludge contaminants can be effective (Zhang and Jiang 2019). Also, if mineral salts such as calcium and magnesium are dissolved in the water stream, the use of zeolites can play a significant role in softening the water flow (El-Nahas et al. 2020). But in general, it is necessary to examine this issue
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