Matches in SemOpenAlex for { <https://semopenalex.org/work/W2100257814> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W2100257814 endingPage "802" @default.
- W2100257814 startingPage "793" @default.
- W2100257814 abstract "The problem of mass transfer with nonequilibrium at, and significant convection across, the interface has been studied by the method of matched asymptotic expansions. The inner solution for small values of t or z/Um was found in terms of fk functions which were obtained in closed analytical form. The outer solution for large values of t or z/Um was found in terms of gk functions which had to be determined numerically. With these solutions, calculation of concentratration distributions or instantaneous rates of mass transfer is straightforward, but determination of the total amount of mass transfer as a function of time is complicated by the lack of an intersection wherein the inner and outer solutions overlap and converge. To avoid the need for graphical interpolation and integration of the interfacial concentration as a function of time to obtain the total mass transferred, the constant of integration M1 is found to be (−kγdocumentclass{article}pagestyle{empty}begin{document}$ sqrt pi $end{document}/2h) by assuming that the ratio of mass transferred with an equilibrium interface to that with a nonequilibrium interface is independent of whether or not Vy convection is negligible in the system as t → ∞. The effect of a nonequilibrium interface is greatest for small t in unsteady systems and z/Um in steady state systems. This occurs because the departure from their equilibrium values of the interfacial concentrations of the phases in contact is greatest when they are first brought into contact. The larger the interfacial mass transfer coefficient α, the smaller is the time required for the interfacial concentrations to achieve their equilibrium values. Other things being equal, the rate of mass transfer is greatest when the driving force xA*-x is greatest. Since the departure from equilibrium at the interface is greatest for small values of time, it follows that nonequilibrium interfacial phenomena can be observed most easily in systems where the rate of mass transfer is high. This is also the case when one cannot neglect the effect of finite velocity at the interface which is shown in the present work to be a significant effect. The method of analysis can be used to study a variety of problems in addition to the specific system considered here. In particular, both batch and flow reverse osmosis problems can be attacked by the present approach." @default.
- W2100257814 created "2016-06-24" @default.
- W2100257814 creator A5002693442 @default.
- W2100257814 creator A5084851332 @default.
- W2100257814 date "1970-09-01" @default.
- W2100257814 modified "2023-10-18" @default.
- W2100257814 title "Mass transfer across a nonequilibrium interface" @default.
- W2100257814 doi "https://doi.org/10.1002/aic.690160518" @default.
- W2100257814 hasPublicationYear "1970" @default.
- W2100257814 type Work @default.
- W2100257814 sameAs 2100257814 @default.
- W2100257814 citedByCount "2" @default.
- W2100257814 crossrefType "journal-article" @default.
- W2100257814 hasAuthorship W2100257814A5002693442 @default.
- W2100257814 hasAuthorship W2100257814A5084851332 @default.
- W2100257814 hasConcept C101555633 @default.
- W2100257814 hasConcept C10899652 @default.
- W2100257814 hasConcept C121332964 @default.
- W2100257814 hasConcept C127413603 @default.
- W2100257814 hasConcept C14036430 @default.
- W2100257814 hasConcept C146978453 @default.
- W2100257814 hasConcept C147789679 @default.
- W2100257814 hasConcept C173608175 @default.
- W2100257814 hasConcept C185592680 @default.
- W2100257814 hasConcept C2776175482 @default.
- W2100257814 hasConcept C41008148 @default.
- W2100257814 hasConcept C51038369 @default.
- W2100257814 hasConcept C57879066 @default.
- W2100257814 hasConcept C64543145 @default.
- W2100257814 hasConcept C74859849 @default.
- W2100257814 hasConcept C78458016 @default.
- W2100257814 hasConcept C8171440 @default.
- W2100257814 hasConcept C86803240 @default.
- W2100257814 hasConcept C97355855 @default.
- W2100257814 hasConceptScore W2100257814C101555633 @default.
- W2100257814 hasConceptScore W2100257814C10899652 @default.
- W2100257814 hasConceptScore W2100257814C121332964 @default.
- W2100257814 hasConceptScore W2100257814C127413603 @default.
- W2100257814 hasConceptScore W2100257814C14036430 @default.
- W2100257814 hasConceptScore W2100257814C146978453 @default.
- W2100257814 hasConceptScore W2100257814C147789679 @default.
- W2100257814 hasConceptScore W2100257814C173608175 @default.
- W2100257814 hasConceptScore W2100257814C185592680 @default.
- W2100257814 hasConceptScore W2100257814C2776175482 @default.
- W2100257814 hasConceptScore W2100257814C41008148 @default.
- W2100257814 hasConceptScore W2100257814C51038369 @default.
- W2100257814 hasConceptScore W2100257814C57879066 @default.
- W2100257814 hasConceptScore W2100257814C64543145 @default.
- W2100257814 hasConceptScore W2100257814C74859849 @default.
- W2100257814 hasConceptScore W2100257814C78458016 @default.
- W2100257814 hasConceptScore W2100257814C8171440 @default.
- W2100257814 hasConceptScore W2100257814C86803240 @default.
- W2100257814 hasConceptScore W2100257814C97355855 @default.
- W2100257814 hasIssue "5" @default.
- W2100257814 hasLocation W21002578141 @default.
- W2100257814 hasOpenAccess W2100257814 @default.
- W2100257814 hasPrimaryLocation W21002578141 @default.
- W2100257814 hasRelatedWork W2025967154 @default.
- W2100257814 hasRelatedWork W2034293280 @default.
- W2100257814 hasRelatedWork W2046473043 @default.
- W2100257814 hasRelatedWork W2049372633 @default.
- W2100257814 hasRelatedWork W2088545740 @default.
- W2100257814 hasRelatedWork W2100257814 @default.
- W2100257814 hasRelatedWork W2394208475 @default.
- W2100257814 hasRelatedWork W250717994 @default.
- W2100257814 hasRelatedWork W2530041116 @default.
- W2100257814 hasRelatedWork W4291302563 @default.
- W2100257814 hasVolume "16" @default.
- W2100257814 isParatext "false" @default.
- W2100257814 isRetracted "false" @default.
- W2100257814 magId "2100257814" @default.
- W2100257814 workType "article" @default.