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Unidimensional solute transport incorporating equilibrium and rate‐limited isotherms with first‐order loss: 2. An approximated simulation after a pulsed input
Author(s) -
Lassey Keith R.
Publication year - 1988
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr024i003p00351
Subject(s) - statistical physics , dirac delta function , position (finance) , function (biology) , path (computing) , computer simulation , thermodynamics , mathematics , mechanics , physics , mathematical analysis , computer science , economics , finance , evolutionary biology , biology , programming language
I develop and illustrate a simple approximation to the simulated concentration history at a position in a unidimensional flow path downstream of an idealized (Dirac delta function) pulse input. The simulation model incorporates combined Freundlich and rate‐limited isotherms as previously formulated. The approximation circumvents the numerical integration which the simulation would otherwise require; it is particularly reliable either for large Péclet number or for minor kinetic influence upon exchange or for both, and it is superior to invoking the “local equilibrium assumption” as an approximant.