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Published in: Experiments in Fluids 5/2010

01-05-2010 | Research Article

Local measurements of turbulent angular momentum transport in circular Couette flow

Authors: M. J. Burin, E. Schartman, H. Ji

Published in: Experiments in Fluids | Issue 5/2010

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Abstract

We report on velocity fluctuations and the fluctuation-driven radial transport of angular momentum in turbulent circular Couette flow. Our apparatus is short (cylinder height to gap width ratio Γ ~ 2) and of relatively high wall curvature (ratio of cylinder radii η ~ 0.35). Fluctuation levels and the mean specific angular momentum are found to be roughly constant over radius, in accordance with previous studies featuring narrower gaps. Synchronized dual beam Laser Doppler Velocimetry (2D LDV) is used to directly measure the r − θ Reynolds stress component as a function of Reynolds number (Re), revealing approximate scalings in the non-dimensional angular momentum transport that confirm previous measurements of torque in similar flows. 2D LDV further allows for a decomposition of the turbulent transport to assess the relative roles of fluctuation intensity and r − θ cross-correlation. We find that the increasing angular momentum transport with Re is due to intensifying absolute fluctuation levels accompanied by a slightly weakening cross-correlation.

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Literature
go back to reference Andereck CD, Liu SS, Swinney HL (1986) Flow regimes in a circular Couette system with independently rotating cylinders. J Fluid Mech 164:155CrossRef Andereck CD, Liu SS, Swinney HL (1986) Flow regimes in a circular Couette system with independently rotating cylinders. J Fluid Mech 164:155CrossRef
go back to reference Barcilon A, Brindley J (1984) Organized structures in turbulent Taylor–Couette flow. J Fluid Mech 143:429 (data by F. R. Mobbs) Barcilon A, Brindley J (1984) Organized structures in turbulent Taylor–Couette flow. J Fluid Mech 143:429 (data by F. R. Mobbs)
go back to reference Bilgen E, Boulos R (1973) Functional dependence of torque coefficient of coaxial cylinders on gap width and Reynolds numbers. Trans ASME J Fluids Eng 95:122 Bilgen E, Boulos R (1973) Functional dependence of torque coefficient of coaxial cylinders on gap width and Reynolds numbers. Trans ASME J Fluids Eng 95:122
go back to reference Bilson M, Bremhorst K (2007) Direct numerical simulation of turbulent Taylor–Couette flow. J Fluid Mech 579:227MATHCrossRef Bilson M, Bremhorst K (2007) Direct numerical simulation of turbulent Taylor–Couette flow. J Fluid Mech 579:227MATHCrossRef
go back to reference Burin MJ et al (2006) Reduction of Ekman circulation in Taylor–Couette flow. Exp Fluids 40:962CrossRef Burin MJ et al (2006) Reduction of Ekman circulation in Taylor–Couette flow. Exp Fluids 40:962CrossRef
go back to reference Burin MJ, Schartman E, Ji H (2008) Studies of turbulent angular momentum transport in Taylor–Couette flow via 2D laser doppler velocimetry. J Phys Conf Ser 137:012020CrossRef Burin MJ, Schartman E, Ji H (2008) Studies of turbulent angular momentum transport in Taylor–Couette flow via 2D laser doppler velocimetry. J Phys Conf Ser 137:012020CrossRef
go back to reference Cole JA (1976) Taylor-vortex instability and annulus length effects. J Fluid Mech 75:1CrossRef Cole JA (1976) Taylor-vortex instability and annulus length effects. J Fluid Mech 75:1CrossRef
go back to reference Couette M (1890) Etude sur le frottement des liquids. Ann Chim Phys 21:433 Couette M (1890) Etude sur le frottement des liquids. Ann Chim Phys 21:433
go back to reference Doering CR, Constantin P (1992) Energy dissipation in shear driven turbulence. Phys Rev Lett 69:1648CrossRef Doering CR, Constantin P (1992) Energy dissipation in shear driven turbulence. Phys Rev Lett 69:1648CrossRef
go back to reference Donnelly RJ, Simon NJ (1960) An empirical torque relation for supercritical flow between rotating cylinders. J Fluid Mech 7:26 with an appendix by Batchelor GCrossRef Donnelly RJ, Simon NJ (1960) An empirical torque relation for supercritical flow between rotating cylinders. J Fluid Mech 7:26 with an appendix by Batchelor GCrossRef
go back to reference Eckhardt B, Grossman S, Lohse D (2007) Torque scaling in turbulent Taylor–Couette flow between independently rotating cylinders. J Fluid Mech 581:221MATHCrossRefMathSciNet Eckhardt B, Grossman S, Lohse D (2007) Torque scaling in turbulent Taylor–Couette flow between independently rotating cylinders. J Fluid Mech 581:221MATHCrossRefMathSciNet
go back to reference Ji H, Burin MJ, Schartman E, Goodman J (2006) Hydrodynamic turbulence cannot transport angular momentum effectively in astrophysical disks. Nature 444:343 Ji H, Burin MJ, Schartman E, Goodman J (2006) Hydrodynamic turbulence cannot transport angular momentum effectively in astrophysical disks. Nature 444:343
go back to reference Kageyama A et al (2004) Numerical and experimental investigation of circulation in short cylinders. J Phys Soc Jpn 73:2424CrossRef Kageyama A et al (2004) Numerical and experimental investigation of circulation in short cylinders. J Phys Soc Jpn 73:2424CrossRef
go back to reference Koga JK, Koschmieder EL (1989) Taylor vortices in short fluid columns. Phys Fluids A 1:1475CrossRef Koga JK, Koschmieder EL (1989) Taylor vortices in short fluid columns. Phys Fluids A 1:1475CrossRef
go back to reference Lathrop D, Fineberg J, Swinney HL (1992a) Transition to shear-driven turbulence in Taylor–Couette flow. Phys Rev A 46:6390CrossRef Lathrop D, Fineberg J, Swinney HL (1992a) Transition to shear-driven turbulence in Taylor–Couette flow. Phys Rev A 46:6390CrossRef
go back to reference Lathrop D, Fineberg J, Swinney HL (1992b) Turbulent flow between concentric rotating cylinders at large Reynolds number. Phys Rev Lett 68:1515CrossRef Lathrop D, Fineberg J, Swinney HL (1992b) Turbulent flow between concentric rotating cylinders at large Reynolds number. Phys Rev Lett 68:1515CrossRef
go back to reference Lewis GS, Swinney HL (1999) Velocity structure functions, scaling, and transitions in high-Reynolds-number Couette–Taylor flow. Phys Rev E 59:5457CrossRef Lewis GS, Swinney HL (1999) Velocity structure functions, scaling, and transitions in high-Reynolds-number Couette–Taylor flow. Phys Rev E 59:5457CrossRef
go back to reference Lücke M, Mihelcic M, Wingerarth K, Pfister G (1984) Flow in a small annulus between concentric cylinders. J Fluid Mech 140:343CrossRef Lücke M, Mihelcic M, Wingerarth K, Pfister G (1984) Flow in a small annulus between concentric cylinders. J Fluid Mech 140:343CrossRef
go back to reference Mallock A (1896) Experiments on fluid viscosity. Phil Trans R Soc Lond A 187:41CrossRef Mallock A (1896) Experiments on fluid viscosity. Phil Trans R Soc Lond A 187:41CrossRef
go back to reference Marie L, Daviaud F (2004) Experimental measurement of the scale-by-scale momentum transport budget in a turbulent shear flow. Phys Fluids 16:457CrossRef Marie L, Daviaud F (2004) Experimental measurement of the scale-by-scale momentum transport budget in a turbulent shear flow. Phys Fluids 16:457CrossRef
go back to reference Panton RL (1992) Scaling laws for the angular momentum of a completely turbulent Couette flow. C R Acad Sci Paris Ser II 315:1467MATH Panton RL (1992) Scaling laws for the angular momentum of a completely turbulent Couette flow. C R Acad Sci Paris Ser II 315:1467MATH
go back to reference Racina A, Kind M (2006) Specific power input and local micromixing times in turbulent Taylor–Couette flow. Exp Fluids 41:513CrossRef Racina A, Kind M (2006) Specific power input and local micromixing times in turbulent Taylor–Couette flow. Exp Fluids 41:513CrossRef
go back to reference Roberts PH (1965) Experiments on the stability of viscous flow between rotating cylinders. VI. Finite-amplitude experiments. Proc. Roy. Soc. Lon. 283:531 (in an appendix from Donnelly RJ, Schwarz KW) Roberts PH (1965) Experiments on the stability of viscous flow between rotating cylinders. VI. Finite-amplitude experiments. Proc. Roy. Soc. Lon. 283:531 (in an appendix from Donnelly RJ, Schwarz KW)
go back to reference Schartman E, Ji H, Burin MJ (2009) Development of a Couette–Taylor flow device with active minimization of secondary circulation. Rev Sci Inst 80:1–024501 Schartman E, Ji H, Burin MJ (2009) Development of a Couette–Taylor flow device with active minimization of secondary circulation. Rev Sci Inst 80:1–024501
go back to reference Shankar PN, Kumar M (1994) Experimental determination of the kinetic viscosity of glycerol‐water mixtures. Proc R Soc Lond A 444:573 Shankar PN, Kumar M (1994) Experimental determination of the kinetic viscosity of glycerol‐water mixtures. Proc R Soc Lond A 444:573
go back to reference Smith GP, Townsend AA (1982) Turbulent Couette flow between concentric cylinders at large Taylor numbers. J Fluid Mech 123:7 Smith GP, Townsend AA (1982) Turbulent Couette flow between concentric cylinders at large Taylor numbers. J Fluid Mech 123:7
go back to reference Taylor GI (1923) Stability of a viscous liquid contained between two rotating cylinders. Phil Trans R Soc Lond A 223:289CrossRef Taylor GI (1923) Stability of a viscous liquid contained between two rotating cylinders. Phil Trans R Soc Lond A 223:289CrossRef
go back to reference Taylor GI (1935) Distribution of velocity and temperature between concentric rotating cylinders. Proc R Soc Lond A 151:494MATHCrossRef Taylor GI (1935) Distribution of velocity and temperature between concentric rotating cylinders. Proc R Soc Lond A 151:494MATHCrossRef
go back to reference Taylor GI (1936) Fluid friction between rotating cylinders. I. Torque measurements. Proc R Soc Lond A 157:546CrossRef Taylor GI (1936) Fluid friction between rotating cylinders. I. Torque measurements. Proc R Soc Lond A 157:546CrossRef
go back to reference Tong P et al (1990) Anisotropy in turbulent drag reduction. Phys Rev Lett 65:2780CrossRef Tong P et al (1990) Anisotropy in turbulent drag reduction. Phys Rev Lett 65:2780CrossRef
go back to reference Wendt F (1933) Turbulente Strömungen zswischen zwei rotierenden konaxialen zylindern. Ing Arch 4:577CrossRef Wendt F (1933) Turbulente Strömungen zswischen zwei rotierenden konaxialen zylindern. Ing Arch 4:577CrossRef
Metadata
Title
Local measurements of turbulent angular momentum transport in circular Couette flow
Authors
M. J. Burin
E. Schartman
H. Ji
Publication date
01-05-2010
Publisher
Springer-Verlag
Published in
Experiments in Fluids / Issue 5/2010
Print ISSN: 0723-4864
Electronic ISSN: 1432-1114
DOI
https://doi.org/10.1007/s00348-009-0756-9

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