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Integral method for solving the convective diffusion problem

Authors: Parfentyeva N.A., Truhanov S.V., Kashintseva V.L. Published: 11.09.2013
Published in issue: #3(50)/2013  
DOI:

 
Category: Applied Mathematics and Methods of Mathematical Simulation  
Keywords: diffusion, convection, boundary layer, approximation method

The approximation for solving the convective diffusion problem is proposed, which allows the calculations to be conducted using a simple formula that provides the possibility of determining concentrations of air contaminants and a rate of air purification. Solving such problems is necessary in view of the constantly emerging environmental issues and air pollution. The proposed approach is based on derivation of the equations of material balance and is a promising method for solving similar problems in case of different geometry of boundary layers. The approximate solution has a form of the third-degree polynomial, which makes it possible to easily study physical dependences. The solution can also be used for analyzing the correctness of numerical solutions to convective diffusion problems.

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