Pintu Das
Department of Mathematics, Sarala Birla University, Ranchi, Jharkhand, India.

Sanjay Kumar
Department of Mathematics, Sarala Birla University, Ranchi, Jharkhand, India.

DOI https://doi.org/10.33889/PMSL.2024.3.1.008

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Abstract

The solute transport modeling is presented for the movement of various decay parameters under degradation situations of solute transport phenomena. In this present study analytical solution of solute transport modeling is presented for semi-infinite homogeneous geological formation using the Laplace transform technique. Uniform solute segmentation is assumed initially at the geological formation. The one end of the geological formation is polluted by temporally dependent sinusoidal source segmentation. At the other end of the domain solute segmentation flux is assumed to be zero. The concept of dispersion coefficient is directly proportional to the initial outflow velocity used for analytical results. The efforts of distinct velocity patterns (i.e.; exponential decreasing and sinusoidal) are significantly used to observe the solute segmentation behaviour. The solute segmentation distribution increases with time and decreases with space. The Relative Percent Error (RPE) is used to check the accuracy of the solute segmentation with respect to time period. The obtained results may be useful to maintain the quality of groundwater resources.

Keywords- Homogeneous, Solute, Contaminant, Porosities, Densities.

Citation

Das, P., & Kumar, S. (2024). Solute Transport Modeling with Impact of Sinusoidal Form of Inlet Source at Boundary of the Geological Formation. Prabha Materials Science Letters, 3(1), 105-122. https://doi.org/10.33889/PMSL.2024.3.1.008.