Show simple item record

dc.contributorVirginia Tech
dc.contributor.authorRenardy, M.
dc.date.accessioned2014-01-30T17:54:55Z
dc.date.available2014-01-30T17:54:55Z
dc.date.issued2013-09
dc.identifier.citationRenardy, Michael, "On the eigenfunctions for Hookean and FENE dumbbell models," J. Rheol. 57, 1311 (2013); http://dx.doi.org/10.1122/1.4816631
dc.identifier.issn0148-6055
dc.identifier.urihttp://hdl.handle.net/10919/25233
dc.description.abstractWe study the linear eigenvalue problem for the distribution function associated with Hookean and FENE dumbbell models. For Hookean dumbbells, the eigenfunctions can be expressed by generalized Laguerre polynomials. The eigenvalue problem for the FENE dumbbell leads to a confluent Heun equation. The first few eigenvalues are calculated numerically. We also calculate these eigenvalues using perturbation of the Hookean case. We show how the knowledge of the eigenvalues and eigenfunctions can be used to construct the stress relaxation modulus. (C) 2013 The Society of Rheology.
dc.description.sponsorshipNational Science Foundation DMS-1008426
dc.language.isoen_US
dc.publisherAIP Publishing
dc.titleOn the eigenfunctions for Hookean and FENE dumbbell models
dc.typeArticle
dc.identifier.urlhttp://scitation.aip.org/content/sor/journal/jor2/57/5/10.1122/1.4816631
dc.date.accessed2014-01-31
dc.title.serialJournal of Rheology
dc.identifier.doihttps://doi.org/10.1122/1.4816631


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record