Reynolds number scaling of the influence of boundary layers on the global behavior of laboratory quasi-Keplerian flows
Abstract
Here, we present fluid velocity measurements in a modified Taylor-Couette device operated in the quasi-Keplerian regime, where it is observed that nearly ideal flows exhibit self-similarity under scaling of the Reynolds number. In contrast, nonideal flows show progressive departure from ideal Couette as the Reynolds number is increased. We present a model that describes the observed departures from ideal Couette rotation as a function of the fluxes of angular momentum across the boundaries, capturing the dependence on Reynolds number and boundary conditions.
- Authors:
-
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences
- Publication Date:
- Research Org.:
- Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1258454
- Alternate Identifier(s):
- OSTI ID: 1223032
- Grant/Contract Number:
- AC02-09CH11466
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 4; Journal ID: ISSN 1539-3755
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Taylor-Couette flow; hydrodynamic turbulence; transport; instability
Citation Formats
Edlund, E. M., and Ji, H. Reynolds number scaling of the influence of boundary layers on the global behavior of laboratory quasi-Keplerian flows. United States: N. p., 2015.
Web. doi:10.1103/PhysRevE.92.043005.
Edlund, E. M., & Ji, H. Reynolds number scaling of the influence of boundary layers on the global behavior of laboratory quasi-Keplerian flows. United States. https://doi.org/10.1103/PhysRevE.92.043005
Edlund, E. M., and Ji, H. 2015.
"Reynolds number scaling of the influence of boundary layers on the global behavior of laboratory quasi-Keplerian flows". United States. https://doi.org/10.1103/PhysRevE.92.043005. https://www.osti.gov/servlets/purl/1258454.
@article{osti_1258454,
title = {Reynolds number scaling of the influence of boundary layers on the global behavior of laboratory quasi-Keplerian flows},
author = {Edlund, E. M. and Ji, H.},
abstractNote = {Here, we present fluid velocity measurements in a modified Taylor-Couette device operated in the quasi-Keplerian regime, where it is observed that nearly ideal flows exhibit self-similarity under scaling of the Reynolds number. In contrast, nonideal flows show progressive departure from ideal Couette as the Reynolds number is increased. We present a model that describes the observed departures from ideal Couette rotation as a function of the fluxes of angular momentum across the boundaries, capturing the dependence on Reynolds number and boundary conditions.},
doi = {10.1103/PhysRevE.92.043005},
url = {https://www.osti.gov/biblio/1258454},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
issn = {1539-3755},
number = 4,
volume = 92,
place = {United States},
year = {Tue Oct 06 00:00:00 EDT 2015},
month = {Tue Oct 06 00:00:00 EDT 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Cited by: 17 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Holographic Turbulence
journal, April 2014
- Adams, Allan; Chesler, Paul M.; Liu, Hong
- Physical Review Letters, Vol. 112, Issue 15
Turbulent flows for relativistic conformal fluids in dimensions
journal, December 2012
- Carrasco, Federico; Lehner, Luis; Myers, Robert C.
- Physical Review D, Vol. 86, Issue 12
Edge Temperature Gradient as Intrinsic Rotation Drive in Alcator -Mod Tokamak Plasmas
journal, May 2011
- Rice, J. E.; Hughes, J. W.; Diamond, P. H.
- Physical Review Letters, Vol. 106, Issue 21
A simple model of intrinsic rotation in high confinement regime tokamak plasmas
journal, March 2010
- Gürcan, Ö. D.; Diamond, P. H.; McDevitt, C. J.
- Physics of Plasmas, Vol. 17, Issue 3
Hydrodynamic turbulence cannot transport angular momentum effectively in astrophysical disks
journal, November 2006
- Ji, Hantao; Burin, Michael; Schartman, Ethan
- Nature, Vol. 444, Issue 7117
Stability of quasi-Keplerian shear flow in a laboratory experiment
journal, July 2012
- Schartman, E.; Ji, Hantao; Burin, M. J.
- Astronomy & Astrophysics, Vol. 543
Nonlinear stability of laboratory quasi-Keplerian flows
journal, February 2014
- Edlund, E. M.; Ji, H.
- Physical Review E, Vol. 89, Issue 2
Angular Momentum Transport in Turbulent Flow between Independently Rotating Cylinders
journal, January 2011
- Paoletti, M. S.; Lathrop, D. P.
- Physical Review Letters, Vol. 106, Issue 2
Experimental Evidence for Nonaxisymmetric Magnetorotational Instability in a Rotating Liquid Metal Exposed to an Azimuthal Magnetic Field
journal, July 2014
- Seilmayer, Martin; Galindo, Vladimir; Gerbeth, Gunter
- Physical Review Letters, Vol. 113, Issue 2
Experimental Evidence for Magnetorotational Instability in a Taylor-Couette Flow under the Influence of a Helical Magnetic Field
journal, November 2006
- Stefani, Frank; Gundrum, Thomas; Gerbeth, Gunter
- Physical Review Letters, Vol. 97, Issue 18
Experimental Observation and Characterization of the Magnetorotational Instability
journal, September 2004
- Sisan, Daniel R.; Mujica, Nicolás; Tillotson, W. Andrew
- Physical Review Letters, Vol. 93, Issue 11
Observation of a Free-Shercliff-Layer Instability in Cylindrical Geometry
journal, April 2012
- Roach, Austin H.; Spence, Erik J.; Gissinger, Christophe
- Physical Review Letters, Vol. 108, Issue 15
Free magnetohydrodynamic shear layers in the presence of rotation and magnetic field
journal, May 2012
- Spence, E. J.; Roach, A. H.; Edlund, E. M.
- Physics of Plasmas, Vol. 19, Issue 5
Turbulence decay towards the linearly stable regime of Taylor–Couette flow
journal, May 2014
- Ostilla-Mónico, Rodolfo; Verzicco, Roberto; Grossmann, Siegfried
- Journal of Fluid Mechanics, Vol. 748
Transient growth in linearly stable Taylor–Couette flows
journal, February 2014
- Maretzke, Simon; Hof, Björn; Avila, Marc
- Journal of Fluid Mechanics, Vol. 742
Bi-stability in turbulent, rotating spherical Couette flow
journal, June 2011
- Zimmerman, Daniel S.; Triana, Santiago Andrés; Lathrop, D. P.
- Physics of Fluids, Vol. 23, Issue 6
Multiple states in highly turbulent Taylor–Couette flow
journal, May 2014
- Huisman, Sander G.; van der Veen, Roeland C. A.; Sun, Chao
- Nature Communications, Vol. 5, Issue 1
On the relevance of subcritical hydrodynamic turbulence to accretion disk transport
journal, November 2005
- Lesur, G.; Longaretti, P. -Y.
- Astronomy & Astrophysics, Vol. 444, Issue 1
Reduction of Ekman circulation within Taylor-Couette flow
journal, March 2006
- Burin, M. J.; Ji, H.; Schartman, E.
- Experiments in Fluids, Vol. 40, Issue 6
Development of a Couette–Taylor flow device with active minimization of secondary circulation
journal, February 2009
- Schartman, E.; Ji, H.; Burin, M. J.
- Review of Scientific Instruments, Vol. 80, Issue 2
Azimuthal velocity profiles in Rayleigh-stable Taylor–Couette flow and implied axial angular momentum transport
journal, June 2015
- Nordsiek, Freja; Huisman, Sander G.; van der Veen, Roeland C. A.
- Journal of Fluid Mechanics, Vol. 774
On nonlinear Ekman and Stewartson layers in a rotating fluid
journal, June 1973
- Bennetts, D. A.; Hocking, L. M.
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, Vol. 333, Issue 1595, p. 469-489
Shear layers in a rotating fluid
journal, July 1967
- Baker, D. James
- Journal of Fluid Mechanics, Vol. 29, Issue 1
On almost rigid rotations
journal, October 1957
- Stewartson, K.
- Journal of Fluid Mechanics, Vol. 3, Issue 1
The influence of horizontal boundaries on Ekman circulation and angular momentum transport in a cylindrical annulus
journal, October 2008
- Obabko, Aleksandr V.; Cattaneo, Fausto; F. Fischer, Paul
- Physica Scripta, Vol. T132
Interaction between Ekman pumping and the centrifugal instability in Taylor–Couette flow
journal, February 2003
- Czarny, Olivier; Serre, Eric; Bontoux, Patrick
- Physics of Fluids, Vol. 15, Issue 2
Stability and Angular-Momentum Transport of Fluid Flows between Corotating Cylinders
journal, March 2012
- Avila, M.
- Physical Review Letters, Vol. 108, Issue 12
A hybrid MPI-OpenMP parallel implementation for pseudospectral simulations with application to Taylor–Couette flow
journal, January 2015
- Shi, Liang; Rampp, Markus; Hof, Björn
- Computers & Fluids, Vol. 106
Works referencing / citing this record:
Suppression of magnetorotational instability in viscous resistive magnetized Taylor–Couette flow
journal, April 2018
- Eckhardt, Daniel Q.; Herron, Isom H.
- Zeitschrift für angewandte Mathematik und Physik, Vol. 69, Issue 2
Subcritical instability of finite circular Couette flow with stationary inner cylinder
journal, March 2016
- Lopez, Juan M.
- Journal of Fluid Mechanics, Vol. 793
Observations of the stratorotational instability in rotating concentric cylinders
journal, September 2016
- Ibanez, Ruy; Swinney, Harry L.; Rodenborn, Bruce
- Physical Review Fluids, Vol. 1, Issue 5