Free surface on a simple fluid between rotating eccentric cylinders. Part I: Analytical solution

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The steady motion of a simple fluid between vertical cylinders which rotate about non-concentric axes is solved by means of domain perturbations. The theory is developed as a perturbation of the rest state in powers of the angular frequency ω of the inner cylinder, and the solution is carried out to O (ω2). The stress is expanded in a series of Rivlin-Ericksen tensors. At the second order only one material parameter, the climbing constant, enters the analysis. A procedure is developed for predicting the shape of the free surface on the fluid. Secondary motions generated by the eccentricity are shown to appear at the second order. © 1984.
Original languageEnglish
Pages (from-to)93-108
Number of pages16
JournalJournal of Non-Newtonian Fluid Mechanics
Volume15
Issue number1
DOIs
Publication statusPublished - 1984

Fingerprint

eccentrics
Free Surface
Rotating
Analytical Solution
Domain Perturbation
Fluid
perturbation
Fluids
Motion
fluids
Eccentricity
eccentricity
Tensors
Tensor
Vertical
tensors
Perturbation
Series

Cite this

@article{e836aeaeee89449482c31c1b84014952,
title = "Free surface on a simple fluid between rotating eccentric cylinders. Part I: Analytical solution",
abstract = "The steady motion of a simple fluid between vertical cylinders which rotate about non-concentric axes is solved by means of domain perturbations. The theory is developed as a perturbation of the rest state in powers of the angular frequency ω of the inner cylinder, and the solution is carried out to O (ω2). The stress is expanded in a series of Rivlin-Ericksen tensors. At the second order only one material parameter, the climbing constant, enters the analysis. A procedure is developed for predicting the shape of the free surface on the fluid. Secondary motions generated by the eccentricity are shown to appear at the second order. {\circledC} 1984.",
author = "A. Siginer",
note = "Cited By :8 Export Date: 21 June 2018",
year = "1984",
doi = "10.1016/0377-0257(84)80031-2",
language = "English",
volume = "15",
pages = "93--108",
journal = "Journal of Non-Newtonian Fluid Mechanics",
issn = "0377-0257",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - Free surface on a simple fluid between rotating eccentric cylinders. Part I: Analytical solution

AU - Siginer, A.

N1 - Cited By :8 Export Date: 21 June 2018

PY - 1984

Y1 - 1984

N2 - The steady motion of a simple fluid between vertical cylinders which rotate about non-concentric axes is solved by means of domain perturbations. The theory is developed as a perturbation of the rest state in powers of the angular frequency ω of the inner cylinder, and the solution is carried out to O (ω2). The stress is expanded in a series of Rivlin-Ericksen tensors. At the second order only one material parameter, the climbing constant, enters the analysis. A procedure is developed for predicting the shape of the free surface on the fluid. Secondary motions generated by the eccentricity are shown to appear at the second order. © 1984.

AB - The steady motion of a simple fluid between vertical cylinders which rotate about non-concentric axes is solved by means of domain perturbations. The theory is developed as a perturbation of the rest state in powers of the angular frequency ω of the inner cylinder, and the solution is carried out to O (ω2). The stress is expanded in a series of Rivlin-Ericksen tensors. At the second order only one material parameter, the climbing constant, enters the analysis. A procedure is developed for predicting the shape of the free surface on the fluid. Secondary motions generated by the eccentricity are shown to appear at the second order. © 1984.

U2 - 10.1016/0377-0257(84)80031-2

DO - 10.1016/0377-0257(84)80031-2

M3 - Article

VL - 15

SP - 93

EP - 108

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

SN - 0377-0257

IS - 1

ER -