Compressive flow between parallel disks: II. Oscillatory behavior of viscoelastic materials under a constant load
type: Item
instance of: scholarly article
title: Compressive flow between parallel disks: II. Oscillatory behavior of viscoelastic materials under a constant load
zbMATH Open document ID: 0548.76013
DOI: 10.1016/0377-0257(84)80050-6
author: N. E. Zubov
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1984-01-01T00:00:00Z
review text: [For part I see: the first four authors, ibid. 10, 3-30 (1982; Zbl 0482.76003)]. Compressive or squeezing flow of viscoelastic materials between parallel disks under a constant load has been subjected to extensive studies in an analytical, numerical and experimental way. The analytical analysis, based on linear approximations to both the momentum (inertia terms) and constitutive (the linearized Jeffreys model) equations, shows that oscillations superposed on monotonic squeezing may arise when a critical value of the modified elasticity number (the ratio of elastic to inertial forces) is exceeded. Similar conclusions result from a more detailed numerical analysis using the finite-element technique as well as the contravariant convected Maxwell model. Experimental measurements, performed for three fluids of different properties, support the major theoretical and numerical predictions. The main conclusion arising from the studies is that inertial terms cannot be neglected, even for slow flows, in deformation processes starting from a rest state, since then the inertial resistance to flow may dominate.
Mathematics Subject Classification ID: 76A10
zbMATH DE Number: 3874804
zbMATH Keywords: compressive flows
zbMATH Keywords: viscoelastic fluids
zbMATH Keywords: squeezing flow
zbMATH Keywords: modified elasticity number
zbMATH Keywords: inertial terms
reviewed by: S. Zahorski
MaRDI profile type: Publication
full work available at URL: 0377-0257(84)80050-6
OpenAlex ID: W2075303664
Recommended article: Q3747073
Recommended article: Transient squeeze flow of viscoplastic materials
Recommended article: Squeezing flow of a viscoelastic solid
Recommended article: Q3986380
Recommended article: Squeeze-flow of a Herschel-Bulkley fluid
Recommended article: Squeeze flow theory and applications to rheometry: a review
Recommended article: Q3754993
Recommended article: Squeezing a viscoelastic liquid from a wedge: An exact solution
Recommended article: The squeeze-film flow of a viscoelastic fluid
Recommended article: Squeeze flow of Bingham plastics.
description: scientific article; zbMATH DE number 3874804