Hydrodynamic turbulence cannot transport angular momentum effectively in astrophysical disks

Nature

Volumn 444, Issue 7117, 2006, Pages 343-346

  Ji, Hantao ^a   Burin, Michael ^a,b   Schartman, Ethan ^a   Goodman, Jeremy ^a  

^a PRINCETON UNIVERSITY   (United States)

^b POMONA COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANGLE MEASUREMENT; ASTROPHYSICS; HYDRODYNAMICS; IONIZATION; REYNOLDS NUMBER;

ANGULAR MOMENTUM; ASTROPHYSICAL DISKS; ENERGY SOURCES; HYDRODYNAMIC TURBULENCE; MAGNETOROTATIONAL INSTABILITY;

TURBULENCE;

ANGULAR MOMENTUM; ASTROPHYSICS; HYDRODYNAMIC FORCE; PLASMA; REYNOLDS NUMBER; TURBULENCE;

ARTICLE; EXPERIMENTAL MODEL; HYDRODYNAMICS; MATHEMATICAL COMPUTING; PHYSICS; PRIORITY JOURNAL; QUASI EXPERIMENTAL STUDY; TURBULENT FLOW;

EID: 33751082919     PISSN: 00280836     EISSN: 14764687     Source Type: Journal    
DOI: 10.1038/nature05323     Document Type: Article

References (32)

1. Shakura, N. I. & Sunyaev, R. A. Black holes in binary systems. Observational appearance. Astron. Astrophys. 24, 337-355 (1973).
2. Balbus, S. A. & Hawley, J. F. Instability, turbulence, and enhanced transport in accretion disks. Rev. Mod. Phys. 70, 1-53 (1998).
3. Zeldovich, Y. B. On the friction of fluids between rotating cylinders. Proc. R. Soc. Lond. A 374, 299-312 (1981).
4. Dubrulle, B. Differential rotation as a source of angular momentum transfer in the solar nebula. Icarus 106, 59-76 (1993).
5. Balbus, S. A., Hawley, J. F. & Stone, J. M. Nonlinear stability, hydrodynamical turbulence, and transport in disks. Astrophys. J. 467, 76-86 (1996).
6. Richard, D. & Zahn, J-P. Turbulence in differentially rotating flows: What can be learned from the Couette-Taylor experiment. Astron. Astrophys. 347, 734-738 (1999).
7. Richard, D. Instabilités Hydrodynamiques dans les Ecoulements en Rotation Différentielle. Ph.D. thesis, Univ. Paris 7 (2001).
8. Longaretti, P. On the phenomenology of hydrodynamic shear turbulence. Astrophys. J. 576, 587-598 (2002).
9. Chagelishvili, G. D., Zahn, J-P., Tevzadze, A. G. & Lominadze, J. G. On hydrodynamic shear turbulence in Keplerian disks: Via transient growth to bypass transition. Astron. Astrophys. 402, 401-407 (2003).
10. Yecko, P. A. Accretion disk instability revisited. Transient dynamics of rotating shear flow. Astron. Astrophys. 425, 385-393 (2004).
11. Umurhan, O. M. & Regev, O. Hydrodynamic stability of rotationally supported flows: Linear and nonlinear 2D shearing box results. Astron. Astrophys. 427, 855-872 (2004).
12. Garaud, P. & Ogilvie, G. I. A model for the nonlinear dynamics of turbulent shear flows. J. Fluid Mech. 530, 145-176 (2005).
13. Mukhopadhyay, B., Afshordi, N. & Narayan, R. Bypass to turbulence in hydrodynamic accretion disks: An eigenvalue approach. Astrophys. J. 629, 383-396 (2005).
14. Dubrulle, B. et al. Stability and turbulent transport in Taylor-Couette flow from analysis of experimental data. Phys. Fluids 17, 095103, doi:10.1063/1.2008999 (2005).
15. Lesur, G. & Longaretti, P-Y. On the relevance of subcritical hydrodynamic turbulence to accretion disk transport. Astron. Astrophys. 444, 25-44 (2005).
16. Taylor, G. I. Stability of a viscous liquid contained between two rotating cylinders. Phil. Trans. R. Soc. Lond. A 223, 289-343 (1923).
17. Wendt, F. Turbulente Strömungen zwischen zwei rotierenden konaxialen Zylindern. Ing. Arch. 4, 577-595 (1933).
18. Taylor, G. I. Fluid friction between rotating cylinders. i. torque measurements. Proc. R. Soc. Lond. A 157, 546-578 (1936).
19. Schultz-Grunow, F. Zur Stabilität der Couette-Strömung. Z. Angew. Math. Mech. 39, 101-117 (1959).
20. Kageyama, A., Ji, H., Goodman, J., Chen, F. & Shoshan, E. Numerical and experimental investigation of circulation in short cylinders. J. Phys. Soc. Jpn 73, 2424-2437 (2004).
21. Burin, M. J. et al. Reduction of Ekman circulation within a short circular couette flow. Exp. Fluids 40, 962-966, doi:10.1007/s00348-006-0132-y (2006).
22. Hueso, R. & Guillot, T. Evolution of protoplanetary disks: constraints from DM Tauri and GM Aurigae. Astron. Astrophys. 442, 703-725 (2005).
23. 6: The Fluid Dynamic Precursor to a Liquid Sodium αω Dynamo. PhD thesis, New Mexico Inst. Mining Technol. (2002).
24. Colebrook, C. F. Turbulent flow in pipes with particular reference to the transitional region between smooth and rough pipes. J. Inst. Civil Eng. 11, 133-156 (1938).
25. Hartmann, L., Calvet, N., Gullbring, E. & D'Alessio, P. Accretion and the evolution of T Tauri disks. Astrophys. J. 495, 385-400 (1998).
26. Klahr, H. H. & Bodenheimer, P. Turbulence in accretion disks: Vorticity generation and angular momentum transport via the global baroclinic instability. Astrophys. J. 582, 869-892 (2003).
27. Dubrulle, B. et al. An hydrodynamic shear instability in stratified disks. Astron. Astrophys. 429, 1-13 (2005).
28. Johnson, B. M. & Gammie, C. F. Nonlinear stability of thin, radially-stratified disks. Astrophys. J. 636, 63-74 (2006).
29. Goodman, J. & Balbus, S. A. Stratified disks are locally stable. Preprint at 〈http://arxiv.org/astro-ph/0110229〉 (2001).
30. Rayleigh, Lord On the dynamics of rotating fluid. Proc. R. Soc. Lond. A 93, 148-154 (1916).
31. Lathrop, D. P., Fineberg, J. & Swinney, H. L. Turbulent flow between concentric rotating cylinders at large Reynolds number. Phys. Rev. Lett. 68, 1515-1518 (1992).
32. Lewis, G. S. & Swinney, H. L. Velocity structure functions, scaling, and transitions in high-Reynolds-number Couette-Taylor flow. Phys. Rev. E 59, 5457-5467 (1999).