Matches in SemOpenAlex for { <https://semopenalex.org/work/W1623973013> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W1623973013 endingPage "116" @default.
- W1623973013 startingPage "105" @default.
- W1623973013 abstract "Singular perturbation methods are used to treat analytically the problem of steady one-dimensional flow in a porous column, assuming non-linear exchange equilibrium and concentration-dependent diffusivity, when the Péclet number is large. The breakdown of the original problem into a non-linear outer problem, which is hyperbolic and of first order, and an inner problem which is equivalent to a set of ordinary differential equations, greatly facilitates analysis. The development and movement of concentration discontinuites (jumps) within the flow is examined via the outer expansion, the first term of which neglects diffusion entirely. The next term gives a first estimate of diffusion effects. It is found that material diffusing towards a discontinuity increases its speed, as would be expected. In the neighborhood of a discontinuity, a state of quasi-equilibrium exists between diffusion and convective effects due to the relative velocity between the characteristics and the discontinuity. A quasi-steady diffusion zone of thickness O (ε) exists, in contrast to the zone, O (ε12t12), which forms in the linear case. The first term of the inner expansion is matched both ahead of and behind the jump with the aid of only one arbitrary function of integration; the second function remains undetermined. At the next order, this function is evaluated as a shift of origin of the inner expansion to match the displacement of the jump due to diffusion. However, at this next order of matching, a new undetermined function appears. Extensions of the method to more general cases of non-linear, non-equilibrium exchange, and when source terms are present, are discussed briefly." @default.
- W1623973013 created "2016-06-24" @default.
- W1623973013 creator A5089105235 @default.
- W1623973013 date "1972-06-01" @default.
- W1623973013 modified "2023-09-25" @default.
- W1623973013 title "Perturbation analysis of the equation for the transport of dissolved solids through porous media" @default.
- W1623973013 cites W1577682717 @default.
- W1623973013 cites W1585593729 @default.
- W1623973013 cites W1973909523 @default.
- W1623973013 cites W1982247117 @default.
- W1623973013 cites W1994493445 @default.
- W1623973013 cites W2008095720 @default.
- W1623973013 cites W2020538775 @default.
- W1623973013 cites W2032137277 @default.
- W1623973013 cites W2102123503 @default.
- W1623973013 cites W2104658347 @default.
- W1623973013 cites W2319325382 @default.
- W1623973013 cites W2320841503 @default.
- W1623973013 cites W2329555096 @default.
- W1623973013 cites W2331172766 @default.
- W1623973013 cites W2333778614 @default.
- W1623973013 cites W2484020100 @default.
- W1623973013 cites W3036726909 @default.
- W1623973013 cites W2088670585 @default.
- W1623973013 doi "https://doi.org/10.1016/0022-1694(72)90116-3" @default.
- W1623973013 hasPublicationYear "1972" @default.
- W1623973013 type Work @default.
- W1623973013 sameAs 1623973013 @default.
- W1623973013 citedByCount "3" @default.
- W1623973013 crossrefType "journal-article" @default.
- W1623973013 hasAuthorship W1623973013A5089105235 @default.
- W1623973013 hasConcept C11683690 @default.
- W1623973013 hasConcept C121332964 @default.
- W1623973013 hasConcept C134306372 @default.
- W1623973013 hasConcept C136264566 @default.
- W1623973013 hasConcept C15627037 @default.
- W1623973013 hasConcept C162324750 @default.
- W1623973013 hasConcept C165160513 @default.
- W1623973013 hasConcept C177918212 @default.
- W1623973013 hasConcept C2777042112 @default.
- W1623973013 hasConcept C2780378061 @default.
- W1623973013 hasConcept C2780695682 @default.
- W1623973013 hasConcept C33923547 @default.
- W1623973013 hasConcept C37668627 @default.
- W1623973013 hasConcept C51544822 @default.
- W1623973013 hasConcept C571446 @default.
- W1623973013 hasConcept C57879066 @default.
- W1623973013 hasConcept C62520636 @default.
- W1623973013 hasConcept C69357855 @default.
- W1623973013 hasConcept C78045399 @default.
- W1623973013 hasConcept C97355855 @default.
- W1623973013 hasConceptScore W1623973013C11683690 @default.
- W1623973013 hasConceptScore W1623973013C121332964 @default.
- W1623973013 hasConceptScore W1623973013C134306372 @default.
- W1623973013 hasConceptScore W1623973013C136264566 @default.
- W1623973013 hasConceptScore W1623973013C15627037 @default.
- W1623973013 hasConceptScore W1623973013C162324750 @default.
- W1623973013 hasConceptScore W1623973013C165160513 @default.
- W1623973013 hasConceptScore W1623973013C177918212 @default.
- W1623973013 hasConceptScore W1623973013C2777042112 @default.
- W1623973013 hasConceptScore W1623973013C2780378061 @default.
- W1623973013 hasConceptScore W1623973013C2780695682 @default.
- W1623973013 hasConceptScore W1623973013C33923547 @default.
- W1623973013 hasConceptScore W1623973013C37668627 @default.
- W1623973013 hasConceptScore W1623973013C51544822 @default.
- W1623973013 hasConceptScore W1623973013C571446 @default.
- W1623973013 hasConceptScore W1623973013C57879066 @default.
- W1623973013 hasConceptScore W1623973013C62520636 @default.
- W1623973013 hasConceptScore W1623973013C69357855 @default.
- W1623973013 hasConceptScore W1623973013C78045399 @default.
- W1623973013 hasConceptScore W1623973013C97355855 @default.
- W1623973013 hasIssue "2" @default.
- W1623973013 hasLocation W16239730131 @default.
- W1623973013 hasOpenAccess W1623973013 @default.
- W1623973013 hasPrimaryLocation W16239730131 @default.
- W1623973013 hasRelatedWork W189832769 @default.
- W1623973013 hasRelatedWork W1970472625 @default.
- W1623973013 hasRelatedWork W2002445975 @default.
- W1623973013 hasRelatedWork W2041306459 @default.
- W1623973013 hasRelatedWork W2065072237 @default.
- W1623973013 hasRelatedWork W2074263019 @default.
- W1623973013 hasRelatedWork W2143733044 @default.
- W1623973013 hasRelatedWork W2765299251 @default.
- W1623973013 hasRelatedWork W4206897103 @default.
- W1623973013 hasRelatedWork W834805372 @default.
- W1623973013 hasVolume "16" @default.
- W1623973013 isParatext "false" @default.
- W1623973013 isRetracted "false" @default.
- W1623973013 magId "1623973013" @default.
- W1623973013 workType "article" @default.