Linear and nonlinear instabilities of sliding Couette flow

K. Deguchi; M. Nagata

doi:10.1007/978-3-642-03085-7_18

Linear and nonlinear instabilities of sliding Couette flow

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

Abstract

We consider an incompressible viscous fluid with the kinematic viscosity v between two infinitely long concentric cylinders with radii a and b (b > a). The fluid experiences a shear motion produced by pulling the inner cylinder with the axial speed U while keeping the outer cylinder at rest (see Fig.1). The axial basis flow at the radius r, can be obtained as an exact solution of the Navier-Stokes equation, where is the Reynolds number and is the radius ratio.

Original language	English
Title of host publication	Advances in Turbulence XII
Subtitle of host publication	Proceedings of the 12th EUROMECH European Turbulence Conference, September 7-10, 2009, Marburg, Germany
Editors	Bruno Eckhardt
Place of Publication	Germany
Publisher	Springer
Pages	79-82
Number of pages	4
ISBN (Electronic)	9783642030857
ISBN (Print)	9783642030840
DOIs	https://doi.org/10.1007/978-3-642-03085-7_18
Publication status	Published - 5 Oct 2009
Externally published	Yes
Event	European Turbulence Conference 2009 - Marburg, Germany Duration: 7 Sept 2009 → 10 Sept 2009 Conference number: 12th https://link.springer.com/book/10.1007/978-3-642-03085-7

Publication series

Name	Springer Proceedings in Physics
Volume	132
ISSN (Print)	0930-8989
ISSN (Electronic)	1867-4941

Conference

Conference	European Turbulence Conference 2009
Abbreviated title	ETC12 2009
Country/Territory	Germany
City	Marburg
Period	7/09/09 → 10/09/09
Internet address	https://link.springer.com/book/10.1007/978-3-642-03085-7

Access to Document

10.1007/978-3-642-03085-7_18

Cite this

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title = "Linear and nonlinear instabilities of sliding Couette flow",

abstract = "We consider an incompressible viscous fluid with the kinematic viscosity v between two infinitely long concentric cylinders with radii a and b (b > a). The fluid experiences a shear motion produced by pulling the inner cylinder with the axial speed U while keeping the outer cylinder at rest (see Fig.1). The axial basis flow at the radius r, can be obtained as an exact solution of the Navier-Stokes equation, where is the Reynolds number and is the radius ratio.",

author = "K. Deguchi and M. Nagata",

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Deguchi, K & Nagata, M 2009, Linear and nonlinear instabilities of sliding Couette flow. in B Eckhardt (ed.), Advances in Turbulence XII: Proceedings of the 12th EUROMECH European Turbulence Conference, September 7-10, 2009, Marburg, Germany. Springer Proceedings in Physics, vol. 132, Springer, Germany, pp. 79-82, European Turbulence Conference 2009, Marburg, Hesse, Germany, 7/09/09. https://doi.org/10.1007/978-3-642-03085-7_18

Linear and nonlinear instabilities of sliding Couette flow. / Deguchi, K.; Nagata, M.
Advances in Turbulence XII: Proceedings of the 12th EUROMECH European Turbulence Conference, September 7-10, 2009, Marburg, Germany. ed. / Bruno Eckhardt. Germany: Springer, 2009. p. 79-82 (Springer Proceedings in Physics; Vol. 132).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

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AB - We consider an incompressible viscous fluid with the kinematic viscosity v between two infinitely long concentric cylinders with radii a and b (b > a). The fluid experiences a shear motion produced by pulling the inner cylinder with the axial speed U while keeping the outer cylinder at rest (see Fig.1). The axial basis flow at the radius r, can be obtained as an exact solution of the Navier-Stokes equation, where is the Reynolds number and is the radius ratio.

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Linear and nonlinear instabilities of sliding Couette flow

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