University of Limerick Institutional Repository

Approximate solution techniques for the sorption of a finite amount of swelling solvent in a glassy polymer

DSpace Repository

Show simple item record

dc.contributor.author Mitchell, Sarah L.
dc.contributor.author McInerney, N.P.
dc.contributor.author O'Brien, Stephen B.G.
dc.date.accessioned 2021-01-22T15:13:38Z
dc.date.available 2021-01-22T15:13:38Z
dc.date.issued 2021
dc.identifier.uri http://hdl.handle.net/10344/9640
dc.description peer-reviewed en_US
dc.description.abstract This study examines a one-dimensional Stefan problem describing the sorption of a finite amount of swelling solvent in a glassy polymer. The polymer is initially in a dry non-swollen state, where the polymer network is dense. The polymer is then injected with a critical concentration of a swelling solvent, causing polymer chain relaxation to occur. A moving boundary separating the swollen rubbery polymer from the dry glassy polymer is created, whose speed is defined by a kinetic law. The form of the kinetic law is typically assumed to be linear, but this is a nonphysical restriction, and thus we consider the case for a general exponent. We present formal asymptotic expansions, for both small and large times as well as for small and large values of the control parameter, as well as considering the heat balance integral method. These approximations are compared with a numerical scheme, which uses a boundary immobilisation technique and correctly identifies the appropriate starting solution. en_US
dc.language.iso eng en_US
dc.publisher Elsevier en_US
dc.relation SFI12IA/1683 en_US
dc.relation.ispartofseries Applied Mathematical Modelling;92, pp. 624-650
dc.subject mathematical modelling en_US
dc.subject moving boundary problem en_US
dc.subject Stefan problem en_US
dc.subject swelling polymer en_US
dc.subject asymptotics en_US
dc.subject heat balance integral method en_US
dc.title Approximate solution techniques for the sorption of a finite amount of swelling solvent in a glassy polymer en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.1016/j.apm.2020.11.018
dc.contributor.sponsor SFI en_US
dc.relation.projectid SFI/12/IA/1683 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US


Files in this item

This item appears in the following Collection(s)

Show simple item record

Search ULIR


Browse

My Account

Statistics