Non-Newtonian Flow of Liquids and Solids

Oldroyd, J. G.

doi:10.1016/b978-0-12-395694-1.50022-1

Cited by 66 publications

(72 citation statements)

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“…Particularly, during the movement of some non-Newtonian fluids especially disperse and multiphase fluids the slip effect appears at the solid surfaces of viscometer. It is called wall slip effect [3,4]. If these features of motion of non-Newtonian fluids are neglected, significant methodical errors of measurement of rheological parameters will occur.…”

Section: Definition Of the Problem To Be Solvedmentioning

confidence: 99%

Evaluation of Influence of Wall Slip on Measurement of Rheological Parameters by Means of a Hydrodynamic Measuring System

Krykh¹,

Matiko²,

Sadovska³

2015

Energy eng. control syst.

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The technique for processing the output signals of hydrodynamic measuring system of rheological parameters of non-Newtonian fluids is presented in the paper. Hydrodynamic measuring system is built on four serially connected bridge hydrodynamic converters. The paper shows that the error of determination of rheological parameters directly from the experimental flow characteristic in consistent variables is considerable if the non-Newtonian fluid has the effect of wall slip on measuring surfaces of sensors of bridge transducers. The technique for processing the output signals of the measuring system enables to detect the wall slip and to correct the values of fluid flow-rate in each bridge hydrodynamic converter using the values of the wall slip coefficient. Corrected flow characteristic is the basis for the determination of rheological parameters of controlled fluid. The influence of wall slip on the evaluation of rheological model of non-Newtonian fluid and results of measurement of its parameters are analyzed in the paper. It is shown that taking into account the effect of wall slip significantly improves measuring accuracy of rheological parameters.

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Section: Definition Of the Problem To Be Solvedmentioning

confidence: 99%

Evaluation of Influence of Wall Slip on Measurement of Rheological Parameters by Means of a Hydrodynamic Measuring System

Krykh¹,

Matiko²,

Sadovska³

2015

Energy eng. control syst.

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show abstract

“…The first models of such fluids, were proposed in the nineteenth century by Maxwell [2] and [3], Kelvin [4], Voigt [5] and [6]. In the mid twentieth century Oldroyd extended such models [7]- [8].…”

Section: Introductionmentioning

confidence: 99%

“…The model of Oldroyd fluid (see [9], [7], [10]) can predict the stress relaxation as well as the retardation of deformation. Due to this, it has become popular for describing polymer suspension.…”

Section: Introductionmentioning

confidence: 99%

“…In order to model the behavior of a dilute polymer solution in a Newtonian solvent, the extra stress tensor is often split in two components: a viscoelastic one and a purely viscous one. So the Oldroyd fluids of order one as it is known in the Russian literature (see [7], [11], [12], [13] and [14]) are described by defining relation.…”

Section: Introductionmentioning

confidence: 99%

“…and δ = λ−1. For details of the physical background and its mathematical modeling, see [7], [9], [10] and [11].…”

Section: Introductionmentioning

confidence: 99%

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Exact Controllability of Galerkin's Approximations for the Oldroyd Fluid System

Marinho¹,

Louredo²,

Miranda³

2014

IJMO

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Abstract-In this paper we investigate the model of Oldroyd Fluid in a bounded smooth region of Rn (n = 2, 3) with control supported in a small subset of this domain. Under suitable assumptions on the Galerkin basis, we introduce Galerkin's approximations for the Oldroyd fluid system. Using the Hilbert Uniqueness Method in combination with the Schauder's fixed point, we prove the exact controllability for this finite-dimensional system. Index Terms-Exact controllability, oldroyd fluid, Galerkin'S approximations.

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Isothermal steady spinning of an oldroyd fluid B

Chung

1985

AIChE Journal

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Non-Newtonian Flow of Liquids and Solids

Cited by 66 publications

References 0 publications

Evaluation of Influence of Wall Slip on Measurement of Rheological Parameters by Means of a Hydrodynamic Measuring System

Evaluation of Influence of Wall Slip on Measurement of Rheological Parameters by Means of a Hydrodynamic Measuring System

Exact Controllability of Galerkin's Approximations for the Oldroyd Fluid System

Isothermal steady spinning of an oldroyd fluid B

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