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Title: Angular Momentum Transport in Turbulent Flow between Independently Rotating Cylinders

Abstract

We present measurements of the angular momentum flux (torque) in Taylor-Couette flow of water between independently rotating cylinders for all regions of the ({Omega}{sub 1}, {Omega}{sub 2}) parameter space at high Reynolds numbers, where {Omega}{sub 1} ({Omega}{sub 2}) is the inner (outer) cylinder angular velocity. We find that the Rossby number Ro=({Omega}{sub 1}-{Omega}{sub 2})/{Omega}{sub 2} fully determines the state and torque G as compared to G(Ro={infinity}){identical_to}G{sub {infinity}.} The ratio G/G{sub {infinity}} is a linear function of Ro{sup -1} in four sections of the parameter space. For flows with radially increasing angular momentum, our measured torques greatly exceed those of previous experiments [Ji et al., Nature (London), 444, 343 (2006)], but agree with the analysis of Richard and Zahn [Astron. Astrophys. 347, 734 (1999)].

Authors:
 [1];  [1]
  1. Departments of Physics and Geology, Institute for Research in Electronics and Applied Physics, College Park, Maryland 20742 (United States)
Publication Date:
OSTI Identifier:
21532245
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 106; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevLett.106.024501; (c) 2011 American Institute of Physics; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR MOMENTUM; ANGULAR VELOCITY; COUETTE FLOW; CYLINDERS; REYNOLDS NUMBER; ROTATION; TORQUE; TURBULENT FLOW; WATER; DIMENSIONLESS NUMBERS; FLUID FLOW; HYDROGEN COMPOUNDS; MOTION; OXYGEN COMPOUNDS; VELOCITY; VISCOUS FLOW

Citation Formats

Paoletti, M S, Lathrop, D P, and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742. Angular Momentum Transport in Turbulent Flow between Independently Rotating Cylinders. United States: N. p., 2011. Web. doi:10.1103/PHYSREVLETT.106.024501.
Paoletti, M S, Lathrop, D P, & Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742. Angular Momentum Transport in Turbulent Flow between Independently Rotating Cylinders. United States. https://doi.org/10.1103/PHYSREVLETT.106.024501
Paoletti, M S, Lathrop, D P, and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742. 2011. "Angular Momentum Transport in Turbulent Flow between Independently Rotating Cylinders". United States. https://doi.org/10.1103/PHYSREVLETT.106.024501.
@article{osti_21532245,
title = {Angular Momentum Transport in Turbulent Flow between Independently Rotating Cylinders},
author = {Paoletti, M S and Lathrop, D P and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742},
abstractNote = {We present measurements of the angular momentum flux (torque) in Taylor-Couette flow of water between independently rotating cylinders for all regions of the ({Omega}{sub 1}, {Omega}{sub 2}) parameter space at high Reynolds numbers, where {Omega}{sub 1} ({Omega}{sub 2}) is the inner (outer) cylinder angular velocity. We find that the Rossby number Ro=({Omega}{sub 1}-{Omega}{sub 2})/{Omega}{sub 2} fully determines the state and torque G as compared to G(Ro={infinity}){identical_to}G{sub {infinity}.} The ratio G/G{sub {infinity}} is a linear function of Ro{sup -1} in four sections of the parameter space. For flows with radially increasing angular momentum, our measured torques greatly exceed those of previous experiments [Ji et al., Nature (London), 444, 343 (2006)], but agree with the analysis of Richard and Zahn [Astron. Astrophys. 347, 734 (1999)].},
doi = {10.1103/PHYSREVLETT.106.024501},
url = {https://www.osti.gov/biblio/21532245}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 2,
volume = 106,
place = {United States},
year = {Fri Jan 14 00:00:00 EST 2011},
month = {Fri Jan 14 00:00:00 EST 2011}
}