Compressive flow between parallel disks: II. oscillatory behavior of viscoelastic materials under a constant load

S. J. Lee, M. M. Denn, M. J. Crochet, A. B. Metzner, G. J. Riggins

Research output: Contribution to journalArticle

Abstract

Compressive flow of viscoelastic materials between parallel disks under a constant load is studied analytically and experimentally. The key features of the unsteady deformation of viscoelastic materials are determined analytically using linear approximations to both the momentum and constitutive equations. In place of the monotonic "squeezing" found when Newtonian fluids are used, one finds in this case that oscillations arise when a critical value of a dimensionless group representing the ratio of elastic to inertial forces is exceeded. In order to study the process in detail, finite-element numerical calculations are used with the full equations for quantitative calculation of the oscillatory behavior of fluids described by contravariant convected Maxwell models; it is found that this calculation is in surprisingly close agreement with the linear approximation. Experimental measurements, utilizing three fluids of widely different properties, support the major predictions of the analysis. An important analytical conclusion arising from this study is that inertial terms can quite generally not be neglected, even for slow flows of viscous materials, in deformation processes starting from rest with a previously-un-deformed fluid. This observation is derived from the fact that in viscoelastic.

Original languageEnglish (US)
Pages (from-to)301-325
Number of pages25
JournalJournal of Non-Newtonian Fluid Mechanics
Volume14
Issue numberC
DOIs
StatePublished - 1984

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

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