Abstract

Mathematical modeling represents a challenge for any researcher or engineers that working in the field of applied sciences. The experimental approach to the water filtering process allowed achieving and verification a three-dimensional mathematical model, depending on the intake flow of the filter, the porosity of the filter layer and the nature of the filter layer. The mathematical model was developed and verified using the software Table Curve 3D. It was found that the mathematical model proposed offers a viable and robust method for determining the mechanical filtration efficiency of water.

Highlights

  • The mathematical modeling represents an important part of research work in the development of science and engineering fields

  • The mathematical modeling studied in natural sciences, in engineering disciplines or in social sciences is an area of great interest and has a broad impact in the most varied fields

  • The mathematical model was validated by comparing experimental data obtained under laboratory conditions to those offered by mathematical modeling software, TableCurve 3D

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Summary

Introduction

The mathematical modeling represents an important part of research work in the development of science and engineering fields. In environmental engineering the mathematical modeling is developed for all environmental factors - water, air or soil [1, 3]. In soil science the mathematical models describing, in particular, the migration of pollutants in soil. The mathematical modeling is studying for risk assessment of contamination produced by certain pollutants, for design of remediation technologies for soil or for descriptions or soil erosion etc. As regards the environmental factor “air” are performed mathematical models that describe the dynamics and / or dispersion of pollutants in the atmosphere. Can be made at the same time, models which help to determine the concentration of pollutants generated by certain industries, could able to predict their behavior into the atmosphere etc. [1]

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