One-dimensional advection-dispersion equation (ADE) is studied along unsteady longitudinal flow through a semi-infinite heterogeneous medium. Adsorption coefficient is considered temporally and spatially–dependent function i.e., expressed in degenerate form. The dispersion parameter is considered as inversely proportional to adsorption coefficient. The input source is of pulse type. The Laplace Transformation Technique (LTT) is used to obtain the analytical solution by introducing certain new independent variables through separate transformations. The effects of adsorption, heterogeneity and unsteadiness are investigated and discussed with the help of various graphs.
Jaiswal, Dilip K. and _, Gulrana
Study of Specially and Temporally Dependent Adsorption Coefficient in Heterogeneous Porous Medium,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 14,
1, Article 34.
Available at: https://digitalcommons.pvamu.edu/aam/vol14/iss1/34