FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2034219400> ?p ?o ?g. }

• W2034219400 endingPage "023601" @default.
• W2034219400 startingPage "023601" @default.
• W2034219400 abstract "We use the Liapunov–Schmidt (LS) technique of bifurcation theory to derive a low-dimensional model for laminar dispersion of a nonreactive solute in a tube. The LS formalism leads to an exact averaged model, consisting of the governing equation for the cross-section averaged concentration, along with the initial and inlet conditions, to all orders in the transverse diffusion time. We use the averaged model to analyze the temporal evolution of the spatial moments of the solute and show that they do not have the centroid displacement or variance deficit predicted by the coarse-grained models derived by other methods. We also present a detailed analysis of the first three spatial moments for short and long times as a function of the radial Peclet number and identify three clearly defined time intervals for the evolution of the solute concentration profile. By examining the skewness in some detail, we show that the skewness increases initially, attains a maximum for time scales of the order of transverse diffusion time, and the solute concentration profile never attains the Gaussian shape at any finite time. Finally, we reason that there is a fundamental physical inconsistency in representing laminar (Taylor) dispersion phenomena using truncated averaged models in terms of a single cross-section averaged concentration and its large scale gradient. Our approach evaluates the dispersion flux using a local gradient between the dominant diffusive and convective modes. We present and analyze a truncated regularized hyperbolic model in terms of the cup-mixing concentration for the classical Taylor–Aris dispersion that has a larger domain of validity compared to the traditional parabolic model. By analyzing the temporal moments, we show that the hyperbolic model has no physical inconsistencies that are associated with the parabolic model and can describe the dispersion process to first order accuracy in the transverse diffusion time." @default.
• W2034219400 created "2016-06-24" @default.
• W2034219400 creator A5014304854 @default.
• W2034219400 creator A5087251889 @default.
• W2034219400 date "2011-02-01" @default.
• W2034219400 modified "2023-09-27" @default.
• W2034219400 title "Exact averaging of laminar dispersion" @default.
• W2034219400 cites W1964416153 @default.
• W2034219400 cites W1965419874 @default.
• W2034219400 cites W1967775154 @default.
• W2034219400 cites W1972233499 @default.
• W2034219400 cites W1984996110 @default.
• W2034219400 cites W1992499517 @default.
• W2034219400 cites W1995915242 @default.
• W2034219400 cites W1996818420 @default.
• W2034219400 cites W2004227979 @default.
• W2034219400 cites W2014570548 @default.
• W2034219400 cites W2017527151 @default.
• W2034219400 cites W2027530884 @default.
• W2034219400 cites W2029017233 @default.
• W2034219400 cites W2046340496 @default.
• W2034219400 cites W2049062373 @default.
• W2034219400 cites W2054070175 @default.
• W2034219400 cites W2066338367 @default.
• W2034219400 cites W2076735336 @default.
• W2034219400 cites W2081468698 @default.
• W2034219400 cites W2096359889 @default.
• W2034219400 cites W2118916106 @default.
• W2034219400 cites W2138240186 @default.
• W2034219400 cites W2152666750 @default.
• W2034219400 cites W2161187883 @default.
• W2034219400 cites W2171982500 @default.
• W2034219400 cites W2325784639 @default.
• W2034219400 cites W2898023325 @default.
• W2034219400 cites W3106416878 @default.
• W2034219400 cites W4213264637 @default.
• W2034219400 cites W4230166490 @default.
• W2034219400 cites W4241073501 @default.
• W2034219400 doi "https://doi.org/10.1063/1.3555156" @default.
• W2034219400 hasPublicationYear "2011" @default.
• W2034219400 type Work @default.
• W2034219400 sameAs 2034219400 @default.
• W2034219400 citedByCount "33" @default.
• W2034219400 countsByYear W20342194002012 @default.
• W2034219400 countsByYear W20342194002013 @default.
• W2034219400 countsByYear W20342194002014 @default.
• W2034219400 countsByYear W20342194002015 @default.
• W2034219400 countsByYear W20342194002016 @default.
• W2034219400 countsByYear W20342194002017 @default.
• W2034219400 countsByYear W20342194002018 @default.
• W2034219400 countsByYear W20342194002019 @default.
• W2034219400 countsByYear W20342194002020 @default.
• W2034219400 countsByYear W20342194002021 @default.
• W2034219400 countsByYear W20342194002022 @default.
• W2034219400 crossrefType "journal-article" @default.
• W2034219400 hasAuthorship W2034219400A5014304854 @default.
• W2034219400 hasAuthorship W2034219400A5087251889 @default.
• W2034219400 hasConcept C105795698 @default.
• W2034219400 hasConcept C120665830 @default.
• W2034219400 hasConcept C121332964 @default.
• W2034219400 hasConcept C121864883 @default.
• W2034219400 hasConcept C122342681 @default.
• W2034219400 hasConcept C126530081 @default.
• W2034219400 hasConcept C162324750 @default.
• W2034219400 hasConcept C163716315 @default.
• W2034219400 hasConcept C176217482 @default.
• W2034219400 hasConcept C177562468 @default.
• W2034219400 hasConcept C205684552 @default.
• W2034219400 hasConcept C21547014 @default.
• W2034219400 hasConcept C33923547 @default.
• W2034219400 hasConcept C57736034 @default.
• W2034219400 hasConcept C57879066 @default.
• W2034219400 hasConcept C62520636 @default.
• W2034219400 hasConcept C69357855 @default.
• W2034219400 hasConcept C76563973 @default.
• W2034219400 hasConcept C97355855 @default.
• W2034219400 hasConceptScore W2034219400C105795698 @default.
• W2034219400 hasConceptScore W2034219400C120665830 @default.
• W2034219400 hasConceptScore W2034219400C121332964 @default.
• W2034219400 hasConceptScore W2034219400C121864883 @default.
• W2034219400 hasConceptScore W2034219400C122342681 @default.
• W2034219400 hasConceptScore W2034219400C126530081 @default.
• W2034219400 hasConceptScore W2034219400C162324750 @default.
• W2034219400 hasConceptScore W2034219400C163716315 @default.
• W2034219400 hasConceptScore W2034219400C176217482 @default.
• W2034219400 hasConceptScore W2034219400C177562468 @default.
• W2034219400 hasConceptScore W2034219400C205684552 @default.
• W2034219400 hasConceptScore W2034219400C21547014 @default.
• W2034219400 hasConceptScore W2034219400C33923547 @default.
• W2034219400 hasConceptScore W2034219400C57736034 @default.
• W2034219400 hasConceptScore W2034219400C57879066 @default.
• W2034219400 hasConceptScore W2034219400C62520636 @default.
• W2034219400 hasConceptScore W2034219400C69357855 @default.
• W2034219400 hasConceptScore W2034219400C76563973 @default.
• W2034219400 hasConceptScore W2034219400C97355855 @default.
• W2034219400 hasIssue "2" @default.
• W2034219400 hasLocation W20342194001 @default.
• W2034219400 hasOpenAccess W2034219400 @default.

• next