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Malan, Reshma, ‎Desai, ‎Narendrasinh. (1402). Contaminant transportation modeling with time dependent dispersion. سامانه مدیریت نشریات علمی, 11(3), 605-614. doi: 10.22034/cmde.2023.51014.2125
Reshma Rajesh Malan; ‎Narendrasinh B. ‎Desai. "Contaminant transportation modeling with time dependent dispersion". سامانه مدیریت نشریات علمی, 11, 3, 1402, 605-614. doi: 10.22034/cmde.2023.51014.2125
Malan, Reshma, ‎Desai, ‎Narendrasinh. (1402). 'Contaminant transportation modeling with time dependent dispersion', سامانه مدیریت نشریات علمی, 11(3), pp. 605-614. doi: 10.22034/cmde.2023.51014.2125
Malan, Reshma, ‎Desai, ‎Narendrasinh. Contaminant transportation modeling with time dependent dispersion. سامانه مدیریت نشریات علمی, 1402; 11(3): 605-614. doi: 10.22034/cmde.2023.51014.2125

Contaminant transportation modeling with time dependent dispersion

Computational Methods for Differential Equations
مقاله 12، دوره 11، شماره 3، شهریور 2023، صفحه 605-614    اصل مقاله (381.8 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.51014.2125
نویسندگان
Reshma Rajesh Malan* 1؛ ‎Narendrasinh B. ‎Desai2
1Department of Mathematics, Government Engineering College, Valsad-Gujarat, India.
2Department of Mathematics‎, ‎A‎. ‎D‎. ‎Patel Institute of Technology‎, ‎Anand-388121‎, ‎India.
چکیده
A mathematical modeling of contaminate transportation has been presented in the current paper. The time-dependent dispersion has been considered in the transportation of contaminant in a  nite homogeneous porous medium. The study of contaminants concentration has been presented for the uniform unsteady flow of ground-water. Instead of a constant dispersion, in order to consider the effect of groundwater velocity on contaminant transportation, dispersion has been considered as a groundwater velocity-dependent quantity. As found in the many practical aspects, a linear increase in concentration at a source point with time has been assumed for the present modeling. The spread of the initial contaminant concentration has been considered linearly decreasing along the direction of one-dimensional  flow. The contaminant transport equation for the above-mentioned conditions and environment has been solved. The Laplace transform variation iteration method (LVIM) has been adopted to obtain a solution. Spatial and temporal variations of concentration for a developed model have been presented graphically by varying dispersion. The LVIM has been found suitable for the present study of contaminant transport modeling. The MATHEMATICA package has been used for the present study.
کلیدواژه‌ها
Contaminant transport؛ Correlation function؛ Laplace transform variational iteration method
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