Reynolds number scaling of the influence of boundary layers on the global behavior of laboratory quasi-Keplerian flows

Edlund, E. M.; Ji, H.

doi:10.1103/PhysRevE.92.043005

Title: Reynolds number scaling of the influence of boundary layers on the global behavior of laboratory quasi-Keplerian flows

Journal Article · Tue Oct 06 00:00:00 EDT 2015 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI:https://doi.org/10.1103/PhysRevE.92.043005· OSTI ID:1258454

Edlund, E. M. ^[1]; Ji, H. ^[2]

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

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.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 1258454

Alternate ID(s):: OSTI ID: 1223032

Journal Information:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Vol. 92, Issue 4; ISSN 1539-3755

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 17 works

Citation information provided by
Web of Science

References (28)

Holographic Turbulence Adams, Allan; Chesler, Paul M.; Liu, Hong Physical Review Letters, Vol. 112, Issue 15 https://doi.org/10.1103/PhysRevLett.112.151602	journal	April 2014
Turbulent flows for relativistic conformal fluids in $2 + 1$ dimensions Carrasco, Federico; Lehner, Luis; Myers, Robert C. Physical Review D, Vol. 86, Issue 12 https://doi.org/10.1103/PhysRevD.86.126006	journal	December 2012
Edge Temperature Gradient as Intrinsic Rotation Drive in Alcator $C$ -Mod Tokamak Plasmas Rice, J. E.; Hughes, J. W.; Diamond, P. H. Physical Review Letters, Vol. 106, Issue 21 https://doi.org/10.1103/PhysRevLett.106.215001	journal	May 2011
A simple model of intrinsic rotation in high confinement regime tokamak plasmas Gürcan, Ö. D.; Diamond, P. H.; McDevitt, C. J. Physics of Plasmas, Vol. 17, Issue 3 https://doi.org/10.1063/1.3339909	journal	March 2010
Hydrodynamic turbulence cannot transport angular momentum effectively in astrophysical disks Ji, Hantao; Burin, Michael; Schartman, Ethan Nature, Vol. 444, Issue 7117 https://doi.org/10.1038/nature05323	journal	November 2006
Stability of quasi-Keplerian shear flow in a laboratory experiment Schartman, E.; Ji, Hantao; Burin, M. J. Astronomy & Astrophysics, Vol. 543 https://doi.org/10.1051/0004-6361/201016252	journal	July 2012
Nonlinear stability of laboratory quasi-Keplerian flows Edlund, E. M.; Ji, H. Physical Review E, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevE.89.021004	journal	February 2014
Angular Momentum Transport in Turbulent Flow between Independently Rotating Cylinders Paoletti, M. S.; Lathrop, D. P. Physical Review Letters, Vol. 106, Issue 2 https://doi.org/10.1103/PhysRevLett.106.024501	journal	January 2011
Experimental Evidence for Nonaxisymmetric Magnetorotational Instability in a Rotating Liquid Metal Exposed to an Azimuthal Magnetic Field Seilmayer, Martin; Galindo, Vladimir; Gerbeth, Gunter Physical Review Letters, Vol. 113, Issue 2 https://doi.org/10.1103/PhysRevLett.113.024505	journal	July 2014
Experimental Evidence for Magnetorotational Instability in a Taylor-Couette Flow under the Influence of a Helical Magnetic Field Stefani, Frank; Gundrum, Thomas; Gerbeth, Gunter Physical Review Letters, Vol. 97, Issue 18 https://doi.org/10.1103/PhysRevLett.97.184502	journal	November 2006
Experimental Observation and Characterization of the Magnetorotational Instability Sisan, Daniel R.; Mujica, Nicolás; Tillotson, W. Andrew Physical Review Letters, Vol. 93, Issue 11 https://doi.org/10.1103/PhysRevLett.93.114502	journal	September 2004
Observation of a Free-Shercliff-Layer Instability in Cylindrical Geometry Roach, Austin H.; Spence, Erik J.; Gissinger, Christophe Physical Review Letters, Vol. 108, Issue 15 https://doi.org/10.1103/PhysRevLett.108.154502	journal	April 2012
Free magnetohydrodynamic shear layers in the presence of rotation and magnetic field Spence, E. J.; Roach, A. H.; Edlund, E. M. Physics of Plasmas, Vol. 19, Issue 5 https://doi.org/10.1063/1.3702006	journal	May 2012
Turbulence decay towards the linearly stable regime of Taylor–Couette flow Ostilla-Mónico, Rodolfo; Verzicco, Roberto; Grossmann, Siegfried Journal of Fluid Mechanics, Vol. 748 https://doi.org/10.1017/jfm.2014.242	journal	May 2014
Transient growth in linearly stable Taylor–Couette flows Maretzke, Simon; Hof, Björn; Avila, Marc Journal of Fluid Mechanics, Vol. 742 https://doi.org/10.1017/jfm.2014.12	journal	February 2014
Bi-stability in turbulent, rotating spherical Couette flow Zimmerman, Daniel S.; Triana, Santiago Andrés; Lathrop, D. P. Physics of Fluids, Vol. 23, Issue 6 https://doi.org/10.1063/1.3593465	journal	June 2011
Multiple states in highly turbulent Taylor–Couette flow Huisman, Sander G.; van der Veen, Roeland C. A.; Sun, Chao Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4820	journal	May 2014
On the relevance of subcritical hydrodynamic turbulence to accretion disk transport Lesur, G.; Longaretti, P. -Y. Astronomy & Astrophysics, Vol. 444, Issue 1 https://doi.org/10.1051/0004-6361:20053683	journal	November 2005
Reduction of Ekman circulation within Taylor-Couette flow Burin, M. J.; Ji, H.; Schartman, E. Experiments in Fluids, Vol. 40, Issue 6 https://doi.org/10.1007/s00348-006-0132-y	journal	March 2006
Development of a Couette–Taylor flow device with active minimization of secondary circulation Schartman, E.; Ji, H.; Burin, M. J. Review of Scientific Instruments, Vol. 80, Issue 2 https://doi.org/10.1063/1.3077942	journal	February 2009
Azimuthal velocity profiles in Rayleigh-stable Taylor–Couette flow and implied axial angular momentum transport Nordsiek, Freja; Huisman, Sander G.; van der Veen, Roeland C. A. Journal of Fluid Mechanics, Vol. 774 https://doi.org/10.1017/jfm.2015.275	journal	June 2015
On nonlinear Ekman and Stewartson layers in a rotating fluid 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 https://doi.org/10.1098/rspa.1973.0074	journal	June 1973
Shear layers in a rotating fluid Baker, D. James Journal of Fluid Mechanics, Vol. 29, Issue 1 https://doi.org/10.1017/S0022112067000692	journal	July 1967
On almost rigid rotations Stewartson, K. Journal of Fluid Mechanics, Vol. 3, Issue 1 https://doi.org/10.1017/S0022112057000452	journal	October 1957
The influence of horizontal boundaries on Ekman circulation and angular momentum transport in a cylindrical annulus Obabko, Aleksandr V.; Cattaneo, Fausto; F. Fischer, Paul Physica Scripta, Vol. T132 https://doi.org/10.1088/0031-8949/2008/T132/014029	journal	October 2008
Interaction between Ekman pumping and the centrifugal instability in Taylor–Couette flow Czarny, Olivier; Serre, Eric; Bontoux, Patrick Physics of Fluids, Vol. 15, Issue 2 https://doi.org/10.1063/1.1534108	journal	February 2003
Stability and Angular-Momentum Transport of Fluid Flows between Corotating Cylinders Avila, M. Physical Review Letters, Vol. 108, Issue 12 https://doi.org/10.1103/PhysRevLett.108.124501	journal	March 2012
A hybrid MPI-OpenMP parallel implementation for pseudospectral simulations with application to Taylor–Couette flow Shi, Liang; Rampp, Markus; Hof, Björn Computers & Fluids, Vol. 106 https://doi.org/10.1016/j.compfluid.2014.09.021	journal	January 2015

Cited By (3)

Suppression of magnetorotational instability in viscous resistive magnetized Taylor–Couette flow Eckhardt, Daniel Q.; Herron, Isom H. Zeitschrift für angewandte Mathematik und Physik, Vol. 69, Issue 2 https://doi.org/10.1007/s00033-018-0943-8	journal	April 2018
Subcritical instability of finite circular Couette flow with stationary inner cylinder Lopez, Juan M. Journal of Fluid Mechanics, Vol. 793 https://doi.org/10.1017/jfm.2016.146	journal	March 2016
Observations of the stratorotational instability in rotating concentric cylinders Ibanez, Ruy; Swinney, Harry L.; Rodenborn, Bruce Physical Review Fluids, Vol. 1, Issue 5 https://doi.org/10.1103/physrevfluids.1.053601	journal	September 2016

Similar Records

Stability of quasi-Keplerian Shear Flow in a Laboratory Experiment

Technical Report · Tue Jun 19 00:00:00 EDT 2012 · OSTI ID:1258454

Schartman, Ethan; Ji, Hantao; Burin, Michael J.; +1 more

Taylor–Couette flow for astrophysical purposes

Journal Article · Mon Mar 13 00:00:00 EDT 2023 · Philosophical Transactions of the Royal Society. A, Mathematical, Physical and Engineering Sciences · OSTI ID:1258454

Ji, H.; Goodman, J.

Stability boundary and wave number selection for Taylor vortex flow

Thesis/Dissertation · Wed Jan 01 00:00:00 EST 1986 · OSTI ID:1258454

Dominguez Lerma, M A

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Taylor-Couette flow
hydrodynamic turbulence
transport
instability

Title: Reynolds number scaling of the influence of boundary layers on the global behavior of laboratory quasi-Keplerian flows

Citation Formats

References (28)

Cited By (3)

Similar Records

Related Subjects