Matches in SemOpenAlex for { <https://semopenalex.org/work/W2098989830> ?p ?o ?g. }
- W2098989830 endingPage "2971" @default.
- W2098989830 startingPage "2957" @default.
- W2098989830 abstract "A mathematical model is presented which describes non-Fickian diffusion with chemical reaction of a penetrant A with some reactive group B of a granular glassy polymer. The diffusion process cannot be described by Fick's law due to the swelling of the glassy polymer grain caused by the penetration of the diffusing species. Therefore, the kinetics of swelling must be taken into account. A new model is presented, allowing for mass transfer with chemical reaction whilst assuming power-law kinetics for the velocity of the swelling front: where c*a is the threshold concentration for swelling, ca,r=r0 the concentration of penetrant A at the position r0 of the swelling front and K a constant independent of the penetrant concentration. Two cases of reaction kinetics are analysed: first order in A only and first order in both A and B (overall second order). Criteria forthe occurrence of homogeneous addition and for a shrinking core type of reaction are given. For a low conversion of B, the reaction can be pseudo-first-order in A. Both Fickian diffusion (high K, n > 0 and c*a = 0) and the so-called case II diffusion (low K, n > 0) are shown to be asymptotic solutions of the model. It is also shown that in some cases an excellent agreement can be obtained between the numerical unsteady-state solution and the so-called pseudo-steady-state solution in which the accumulation term of the mass balance of A is neglected. This PSS-solution could be obtained analytically. Both the case without reaction and with first-order kinetics in A are analysed. The approximation is rather good for high first-order reaction rates, short diffusion times and if case II diffusion is approached." @default.
- W2098989830 created "2016-06-24" @default.
- W2098989830 creator A5013690532 @default.
- W2098989830 creator A5088584887 @default.
- W2098989830 date "1993-08-01" @default.
- W2098989830 modified "2023-10-10" @default.
- W2098989830 title "Non-fickian diffusion with chemical reaction in glassy polymers with swelling induced by the penetrant: a mathematical model" @default.
- W2098989830 cites W1974948776 @default.
- W2098989830 cites W1990128192 @default.
- W2098989830 cites W1994304925 @default.
- W2098989830 cites W1999723804 @default.
- W2098989830 cites W2009113651 @default.
- W2098989830 cites W2013251127 @default.
- W2098989830 cites W2019473860 @default.
- W2098989830 cites W2024289440 @default.
- W2098989830 cites W2026205734 @default.
- W2098989830 cites W2028094606 @default.
- W2098989830 cites W2031095798 @default.
- W2098989830 cites W2038027713 @default.
- W2098989830 cites W2039718881 @default.
- W2098989830 cites W2041638490 @default.
- W2098989830 cites W2044153714 @default.
- W2098989830 cites W2045781645 @default.
- W2098989830 cites W2052949169 @default.
- W2098989830 cites W2054384142 @default.
- W2098989830 cites W2060641582 @default.
- W2098989830 cites W2066844601 @default.
- W2098989830 cites W2067599156 @default.
- W2098989830 cites W2067771730 @default.
- W2098989830 cites W2077365056 @default.
- W2098989830 cites W2078589582 @default.
- W2098989830 cites W2078776664 @default.
- W2098989830 cites W2087537544 @default.
- W2098989830 cites W2090996270 @default.
- W2098989830 cites W2091325133 @default.
- W2098989830 cites W2165712856 @default.
- W2098989830 cites W2313571047 @default.
- W2098989830 doi "https://doi.org/10.1016/0009-2509(93)80041-n" @default.
- W2098989830 hasPublicationYear "1993" @default.
- W2098989830 type Work @default.
- W2098989830 sameAs 2098989830 @default.
- W2098989830 citedByCount "18" @default.
- W2098989830 countsByYear W20989898302012 @default.
- W2098989830 countsByYear W20989898302014 @default.
- W2098989830 countsByYear W20989898302016 @default.
- W2098989830 countsByYear W20989898302019 @default.
- W2098989830 countsByYear W20989898302021 @default.
- W2098989830 countsByYear W20989898302023 @default.
- W2098989830 crossrefType "journal-article" @default.
- W2098989830 hasAuthorship W2098989830A5013690532 @default.
- W2098989830 hasAuthorship W2098989830A5088584887 @default.
- W2098989830 hasConcept C121332964 @default.
- W2098989830 hasConcept C148898269 @default.
- W2098989830 hasConcept C159985019 @default.
- W2098989830 hasConcept C177801218 @default.
- W2098989830 hasConcept C178790620 @default.
- W2098989830 hasConcept C185592680 @default.
- W2098989830 hasConcept C192562407 @default.
- W2098989830 hasConcept C2778540859 @default.
- W2098989830 hasConcept C2779335537 @default.
- W2098989830 hasConcept C33923547 @default.
- W2098989830 hasConcept C42475967 @default.
- W2098989830 hasConcept C43617362 @default.
- W2098989830 hasConcept C51038369 @default.
- W2098989830 hasConcept C521977710 @default.
- W2098989830 hasConcept C53403541 @default.
- W2098989830 hasConcept C62520636 @default.
- W2098989830 hasConcept C69357855 @default.
- W2098989830 hasConcept C80107235 @default.
- W2098989830 hasConcept C93391505 @default.
- W2098989830 hasConcept C97355855 @default.
- W2098989830 hasConceptScore W2098989830C121332964 @default.
- W2098989830 hasConceptScore W2098989830C148898269 @default.
- W2098989830 hasConceptScore W2098989830C159985019 @default.
- W2098989830 hasConceptScore W2098989830C177801218 @default.
- W2098989830 hasConceptScore W2098989830C178790620 @default.
- W2098989830 hasConceptScore W2098989830C185592680 @default.
- W2098989830 hasConceptScore W2098989830C192562407 @default.
- W2098989830 hasConceptScore W2098989830C2778540859 @default.
- W2098989830 hasConceptScore W2098989830C2779335537 @default.
- W2098989830 hasConceptScore W2098989830C33923547 @default.
- W2098989830 hasConceptScore W2098989830C42475967 @default.
- W2098989830 hasConceptScore W2098989830C43617362 @default.
- W2098989830 hasConceptScore W2098989830C51038369 @default.
- W2098989830 hasConceptScore W2098989830C521977710 @default.
- W2098989830 hasConceptScore W2098989830C53403541 @default.
- W2098989830 hasConceptScore W2098989830C62520636 @default.
- W2098989830 hasConceptScore W2098989830C69357855 @default.
- W2098989830 hasConceptScore W2098989830C80107235 @default.
- W2098989830 hasConceptScore W2098989830C93391505 @default.
- W2098989830 hasConceptScore W2098989830C97355855 @default.
- W2098989830 hasIssue "16" @default.
- W2098989830 hasLocation W20989898301 @default.
- W2098989830 hasOpenAccess W2098989830 @default.
- W2098989830 hasPrimaryLocation W20989898301 @default.
- W2098989830 hasRelatedWork W1984120133 @default.
- W2098989830 hasRelatedWork W2056180017 @default.
- W2098989830 hasRelatedWork W2088618167 @default.