Mathematical study of Concentration Distribution in Miscible fluid flow through Homogeneous Porous Media

  • Unique Paper ID: 153024
  • PageNo: 319-324
  • Abstract:
  • The governing equation of longitudinal dispersion phenomenon of one-dimensional concentration distribution in miscible fluid flow through homogeneous porous media has been studied in term of advection-dispersion equation. This one-dimensional equation has been solved analytically by using Duhamel’s theorem, Laplace transform and moving coordinates with appropriate initial and boundary condition. The final solution is obtained in terms of exponential form as well as complementary error function and it is concluded that the concentration distribution of miscible fluids decreases with time. The developed analytical solutions may support as a valuable tool for evaluating the aquifer concentration at any position and time.

Copyright & License

Copyright © 2026 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{153024,
        author = {VENU PRASAD K.K and Dr. K. SHIVASHANKARA and PRAKASHA P and DHANANJAIAH D.S},
        title = {Mathematical study of Concentration Distribution in Miscible fluid flow through Homogeneous Porous Media},
        journal = {International Journal of Innovative Research in Technology},
        year = {},
        volume = {8},
        number = {5},
        pages = {319-324},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=153024},
        abstract = {The governing equation of longitudinal dispersion phenomenon of one-dimensional concentration distribution in miscible fluid flow through homogeneous porous media has been studied in term of advection-dispersion equation. This one-dimensional equation has been solved analytically by using Duhamel’s theorem, Laplace transform and moving coordinates with appropriate initial and boundary condition. The final solution is obtained in terms of exponential form as well as complementary error function and it is concluded that the concentration distribution of miscible fluids decreases with time.  The developed analytical solutions may support as a valuable tool for evaluating the aquifer concentration at any position and time.},
        keywords = {Advection, dispersion, Integral transforms, Moving coordinates, Duhamel’s theorem},
        month = {},
        }

Cite This Article

K.K, V. P., & SHIVASHANKARA, D. K., & P, P., & D.S, D. (). Mathematical study of Concentration Distribution in Miscible fluid flow through Homogeneous Porous Media. International Journal of Innovative Research in Technology (IJIRT), 8(5), 319–324.

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