{"title":"Lopsided Elastic Dumbbell Suspension","authors":"N. Phan-Thien, M. A. Kanso, A. J. Giacomin","doi":"arxiv-2405.20227","DOIUrl":null,"url":null,"abstract":"We derive the constitutive equation for a suspension of lopsided Hookean\ndumbbells. By lopsided, we mean that one bead is larger than the other. We find\nthat all results derived for symmetric Hookean dumbbells can be taken over for\nlopsided ones by replacing$ \\frac{2}{\\zeta}$ with\n$\\frac{1}{\\zeta_1}+\\frac{1}{\\zeta_2}$, where ${\\zeta}$, ${\\zeta}_1$ and\n${\\zeta}_2$ are the bead friction coefficients for the symmetric dumbbell\nbeads, and the first and second beads of the lopsided dumbbell respectively.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"64 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Classical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2405.20227","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We derive the constitutive equation for a suspension of lopsided Hookean
dumbbells. By lopsided, we mean that one bead is larger than the other. We find
that all results derived for symmetric Hookean dumbbells can be taken over for
lopsided ones by replacing$ \frac{2}{\zeta}$ with
$\frac{1}{\zeta_1}+\frac{1}{\zeta_2}$, where ${\zeta}$, ${\zeta}_1$ and
${\zeta}_2$ are the bead friction coefficients for the symmetric dumbbell
beads, and the first and second beads of the lopsided dumbbell respectively.
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