Stability of Poiseuille flow of an incompressible second-grade Rivlin-Ericksen fluid

S. Özer; E. S. Şuhubi

Stability of Poiseuille flow of an incompressible second-grade Rivlin-Ericksen fluid

S. Özer
, E. S. Şuhubi^*

^*Corresponding author for this work

Department of Mathematics Engineering

Istanbul Technical University

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In the present work, the stability of Poiseuille flow of a second-grade incompressible Rivlin-Ericksen fluid in a circular cylinder is investigated by employing a linear analysis for cross sectional perturbations imposed on the known base flow. The perturbations were expanded in Fourier modes in the circumferential direction. This well-known method has been used for several classical problems in hydrodynamic stability, such as the Rayleigh-Taylor, Kelvin-Helmholtz and Taylor-Couette problems.

Original language	English
Pages (from-to)	221-227
Number of pages	7
Journal	Bulletin of the Technical University of Istanbul
Volume	51
Issue number	3
Publication status	Published - 1999

Keywords

Flows in cylinders
Linear stability
Non-Newtonian fluids
Poiseuille flow
Second grade fluids

Cite this

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title = "Stability of Poiseuille flow of an incompressible second-grade Rivlin-Ericksen fluid",

abstract = "In the present work, the stability of Poiseuille flow of a second-grade incompressible Rivlin-Ericksen fluid in a circular cylinder is investigated by employing a linear analysis for cross sectional perturbations imposed on the known base flow. The perturbations were expanded in Fourier modes in the circumferential direction. This well-known method has been used for several classical problems in hydrodynamic stability, such as the Rayleigh-Taylor, Kelvin-Helmholtz and Taylor-Couette problems.",

keywords = "Flows in cylinders, Linear stability, Non-Newtonian fluids, Poiseuille flow, Second grade fluids",

author = "S. {\"O}zer and {\c S}uhubi, \{E. S.\}",

year = "1999",

language = "English",

volume = "51",

pages = "221--227",

journal = "Bulletin of the Technical University of Istanbul",

issn = "0254-4121",

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T1 - Stability of Poiseuille flow of an incompressible second-grade Rivlin-Ericksen fluid

AU - Özer, S.

AU - Şuhubi, E. S.

PY - 1999

Y1 - 1999

N2 - In the present work, the stability of Poiseuille flow of a second-grade incompressible Rivlin-Ericksen fluid in a circular cylinder is investigated by employing a linear analysis for cross sectional perturbations imposed on the known base flow. The perturbations were expanded in Fourier modes in the circumferential direction. This well-known method has been used for several classical problems in hydrodynamic stability, such as the Rayleigh-Taylor, Kelvin-Helmholtz and Taylor-Couette problems.

AB - In the present work, the stability of Poiseuille flow of a second-grade incompressible Rivlin-Ericksen fluid in a circular cylinder is investigated by employing a linear analysis for cross sectional perturbations imposed on the known base flow. The perturbations were expanded in Fourier modes in the circumferential direction. This well-known method has been used for several classical problems in hydrodynamic stability, such as the Rayleigh-Taylor, Kelvin-Helmholtz and Taylor-Couette problems.

KW - Flows in cylinders

KW - Linear stability

KW - Non-Newtonian fluids

KW - Poiseuille flow

KW - Second grade fluids

UR - https://www.scopus.com/pages/publications/27644521734

M3 - Article

AN - SCOPUS:27644521734

SN - 0254-4121

VL - 51

SP - 221

EP - 227

JO - Bulletin of the Technical University of Istanbul

JF - Bulletin of the Technical University of Istanbul

IS - 3

ER -

Stability of Poiseuille flow of an incompressible second-grade Rivlin-Ericksen fluid

Abstract

Keywords

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