Asset Details

  • Description:
  • Advection-dominated solute transport pattern (Pe=\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\text{Pe}} = $$\end{document}1.4, ℓ=\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \ell = $$\end{document}1.0 km) in the fractal framework using the index value n = 1.5 in equation (3): (a) in the presence of the uniform source, evaluated from the combination of equations (34a) and (37a) for concave spatial dispersivity and from equations (34a) and (40a) for convex variation, and (b) in the absence of source, evaluated from the combination of equations (34b) and (37b) for concave spatial dispersivity and from equations (34b) and (40b) for convex variation. The curves marked with circles depict the numerical solution of the respective problem obtained using MATLAB solver pdepe.
  • License:
  • Rights Managed
  • Rights Holder:
  • Springer Nature
  • License Rights Holder:
  • © Indian Academy of Sciences 2019
  • Asset Type:
  • Image
  • Asset Subtype:
  • Chart/Graph
  • Image Orientation:
  • Portrait
  • Image Dimensions:
  • 977 x 1674
  • Image File Size:
  • 138 KB
  • Creator:
  • Vinod Kumar Bharati, Vijay P Singh, Abhishek Sanskrityayn, Naveen Kumar
  • Credit:
  • Bharati, V. K., Singh, V. P., Sanskrityayn, A., & Kumar, N. (2019). Analytical solution for solute transport from a pulse point source along a medium having concave/convex spatial dispersivity within fractal and Euclidean framework. Journal of Earth System Science, 128(8), 203. https://doi.org/10.1007/s12040-019-1231-5.
  • Collection:
  • Keywords:
  • Extended Fourier series method (EFSM), Sturm–Liouville problem (SLP), initial value problem (IVP), fractal framework, Euclidean framework
  • Restrictions:
  • Property Release:
  • No
  • Model Release:
  • No
  • Purchasable:
  • Yes
  • Sensitive Materials:
  • No
  • Article Authors:
  • Vinod Kumar Bharati, Vijay P Singh, Abhishek Sanskrityayn, Naveen Kumar
  • Article Copyright Year:
  • 2019
  • Publication Volume:
  • 128
  • Publication Issue:
  • 8
  • Publication Date:
  • 07/22/2019
  • DOI:
  • https://doi.org/10.1007/s12040-019-1231-5

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