Front spreading with nonlinear sorption for oscillating flow

D.G. Cirkel, S.E.A.T.M. van der Zee, J.C.L. Meeussen

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)


In this paper, we consider dispersive and chromatographic mixing at an interface, under alternating flow conditions. In case of a nonreactive or linearly sorbing solute, mixing is in complete analogy with classical dispersion theory. For nonlinear exchange, however, oscillating convective flow leads to an alternation of sharpening (Traveling Wave TW) and spreading (Rarefaction Wave RW). As the limiting TW form is not necessarily accomplished at the end of the TW half cycle, the oscillating fronts show gradual continuous spreading that converges to a zero-convection nonlinear pure diffusion spreading, which is mathematically of quite different nature. This behavior is maintained in case the total (background) concentration differs at both sides of the initial exchange front.
Original languageEnglish
Pages (from-to)2986-2993
JournalWater Resources Research
Issue number4
Publication statusPublished - 2015


  • thermal-energy storage
  • porous mediums
  • transport
  • groundwater
  • solute
  • propagation

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