Analytical solutions to one-dimensional advection – diffusion equation with variable coefficients in semi-infinite media

@inproceedings{Kumar2009AnalyticalST,
  title={Analytical solutions to one-dimensional advection – diffusion equation with variable coefficients in semi-infinite media},
  author={Atul Kumar and Dilip Kumar Jaiswal and Naveen Kumar},
  year={2009}
}
0022-1694/$ see front matter 2009 Elsevier B.V. A doi:10.1016/j.jhydrol.2009.11.008 * Corresponding author. Address: P-12, New Med 221005, India. Tel.: +91 9450541328. E-mail addresses: nks_1953@yahoo.co.in, naveen@ In the present study one-dimensional advection–diffusion equation with variable coefficients is solved for three dispersion problems: (i) solute dispersion along steady flow through an inhomogeneous medium, (ii) temporally dependent solute dispersion along uniform flow through… CONTINUE READING
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Analytical solutions for temporally and spatially dependent solute dispersion of pulse type input concentration in one-dimensional semi-infinite media

  • D. K. Jaiswal, A. Kumar, N. Kumar, R. R. Yadav
  • Journal of Hydroenvironmental Research
  • 2009
Highly Influential
6 Excerpts

Analytical solutions of one-dimensional macrodispersion in stratified porous media by the quadrupole method: convergence to an equivalent homogeneous porous medium

  • S. Didierjean, D. Maillet, C. Moyne
  • Advances in Water Resources
  • 2004
Highly Influential
4 Excerpts

Two-dimensional Laplace-transformed power series solution for solute transport in a radially convergent flow field

  • J. S. Chen, C. W. Liu, C. M. Liao
  • Advances in Water Resources
  • 2003
Highly Influential
8 Excerpts

Solute dispersion along unsteady groundwater flow in a semi-infinite aquifer

  • N. Kumar, M. Kumar
  • Hydrology and Earth System Sciences
  • 1997
Highly Influential
2 Excerpts

Analytical solutions to the solute transport equation with rate-limited desorption and decay

  • V. A. Fry, J. D. Istok, R. B. Guenther
  • Water Resources Research
  • 1993
Highly Influential
4 Excerpts

The Physics of Flow through Porous Media

  • A. E. Scheidegger
  • 1957
Highly Influential
3 Excerpts

Dynamic and Transient Infinite Elements: Geological, Geotechnical and Geoenvironmental Applications

  • C. Zhao
  • 2009
1 Excerpt

The state-of-art of the GILTT method to simulate pollutant dispersion in the atmosphere

  • D. M. Moreira, M. T. Vilhena, D. Buske, T. Tirabassi
  • Atmospheric Research
  • 2009
1 Excerpt

A finite element solution for the fractional advection–dispersion equation

  • Q. Huang, G. Huang, H. Zhan
  • Advances in Water Resources
  • 2008
1 Excerpt

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