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On the physical meaning of the dispersion equation and its solutions for different initial and boundary conditions

✍ Scribed by A. Kreft; A. Zuber


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
993 KB
Volume
33
Category
Article
ISSN
0009-2509

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✦ Synopsis


Ahstraet-It

IS shown that srmrlarly to the movement m capdlartes, also m other dtspersrve systems, the drstrnction between the concentratron of solute in resident fluid and m gurd flux has to he made Introducmg this concept to the dispersion equation, both for the injection and detection modes, a better understanding of the physrcal meanmg of the known solutions as well as the new ones can be obtamed It IS also shown how parttcular sohrtrons are related by known and new transformations Time and spatral moments of all solubons as well as changes of time moments are given To make the paper more general all the consrderatrons are performed in normal time and space v&rinables However, a change to dunenaonless vanables, generally apphed m chemmai engmeermg, can be performed at any stage The paper deals only wath solutrons for lnfinlte and semi-mfirute media m the case of a conservatrve tracer However. there IS no doubt that the apphed concept may be extended to other cases The drlTerences between the solutrons for different mJectron-detection modes are essential m cases of low Peclet numbers It IS shown that the theory of age-&stnbuUon functions apples only d the tracer is mjected and measured m flux


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Process splitting of the boundary condit
✍ Kolawole O. Aiyesimoju; Rodney J. Sobey πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 453 KB πŸ‘ 1 views

Rational strategies are considered for the specification of the intermediate boundary condition at an inflow boundary where process splitting (fractional steps) is adopted in solving the advection-dispersion equation. Three lowest-order methods are initially considered and evaluation is based on com