A possible origin of viscosity in Keplerian accretion disks due to secondary perturbation: Turbulent transport without magnetic fields

P1; The origin of hydrodynamic turbulence in rotating shear flow is a long standing puzzle. Resolving it is especially important in astrophysics when the flow's angular momentum profile is Keplerian which forms an accretion disk having negligible molecular viscosity. Hence, any viscosity in suc...

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Published inResearch in astronomy and astrophysics Vol. 11; no. 2; pp. 163 - 174
Main Authors Mukhopadhyay, Banibrata, Saha, Kanak
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.02.2011
Astronomy and Astrophysics Program, Department of Physics, Indian Institute of Science, Bangalore 560012, India
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ISSN1674-4527
DOI10.1088/1674-4527/11/2/004

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Abstract P1; The origin of hydrodynamic turbulence in rotating shear flow is a long standing puzzle. Resolving it is especially important in astrophysics when the flow's angular momentum profile is Keplerian which forms an accretion disk having negligible molecular viscosity. Hence, any viscosity in such systems must be due to turbulence, arguably governed by magnetorotational instability, especially when temperature T ≥ 105. However, such disks around quiescent cataclysmic variables, protoplan-etary and star-forming disks, and the outer regions of disks in active galactic nuclei are practically neutral in charge because of their low temperature, and thus are not expected to be coupled with magnetic fields enough to generate any transport due to the magnetorotational instability. This flow is similar to plane Couette flow including the Coriolis force, at least locally. What drives their turbulence and then transport, when such flows do not exhibit any unstable mode under linear hydrodynamic perturbation? We demonstrate that the three-dimensional secondary disturbance to the primarily perturbed flow that triggers elliptical instability may generate significant turbulent viscosity in the range 0.0001 ≤ vt≤ 0.1, which can explain transport in accretion flows.
AbstractList P1; The origin of hydrodynamic turbulence in rotating shear flow is a long standing puzzle. Resolving it is especially important in astrophysics when the flow's angular momentum profile is Keplerian which forms an accretion disk having negligible molecular viscosity. Hence, any viscosity in such systems must be due to turbulence, arguably governed by magnetorotational instability, especially when temperature T ≥ 105. However, such disks around quiescent cataclysmic variables, protoplan-etary and star-forming disks, and the outer regions of disks in active galactic nuclei are practically neutral in charge because of their low temperature, and thus are not expected to be coupled with magnetic fields enough to generate any transport due to the magnetorotational instability. This flow is similar to plane Couette flow including the Coriolis force, at least locally. What drives their turbulence and then transport, when such flows do not exhibit any unstable mode under linear hydrodynamic perturbation? We demonstrate that the three-dimensional secondary disturbance to the primarily perturbed flow that triggers elliptical instability may generate significant turbulent viscosity in the range 0.0001 ≤ vt≤ 0.1, which can explain transport in accretion flows.
Author Mukhopadhyay, Banibrata
Saha, Kanak
AuthorAffiliation Astronomy and Astrophysics Program, Department of Physics, Indian Institute of Science, Bangalore 560012, India
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Keywords accretion,accretion disks
hydrodynamics
turbulence
instabilitiesz
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