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Semi-analytical solution of solute dispersion model in semi-infinite media
Taghvaei, P. Pourshahbaz, H. Pu, Jaan H. Pandey, M. Pourshahbaz, V. Abbasi, S. Tofangdar, N.
Taghvaei, P.
Pourshahbaz, H.
Pu, Jaan H.
Pandey, M.
Pourshahbaz, V.
Abbasi, S.
Tofangdar, N.
Publication Date
2022-12
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2022-09-05
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Abstract
The advection–dispersion equation (ADE) is one of the most widely used methods for estimating natural stream pollution at different locations and times.
In this paper, variational iteration method (VIM) is utilized to obtain a semianalytical solution for 1D ADE in a temporally dependent solute dispersion
within uniformsteady flow. Through a computational validation, the effect of
different parameters such as uniform flow velocity and dispersion coefficient
on the solute concentration values has been investigated. Results show that the
change in velocity has a strong effect on fluid density variation. However, when
the diffusion coefficient has been increased, the change in flow and velocity
behaviors is negligible. To verify the proposed semianalytical solution, the results
were compared to analytical solutions and errors were found to be <0.7% in all
simulations.
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Taghvaei P, Pourshahbaz H, Pu JH et al (2022) Semi-analytical solution of solute dispersion model in semi-infinite media. Journal of Applied Mathematics and Mechanics. 102(12): e202000271.
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