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Nana SHATASHVILI - Generalized Beltrami-Bernoulli Flow Model...

Institut des Hautes Etudes Scientifiques (IHES)
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Generalized Beltrami-Bernoulli Flow Model for Astrophysical Disk-Jet Structure Formation In the vicinity of a massive object of various scales (ranging from young stars to galactic nuclei), mass flow creates a spectacular structure combining a thin disk and collimated jet. Despite a wide range of scaling parameters, they exhibit a remarkable similarity that must be dictated by a universal principle. A generalized Beltrami condition has been formulated as a succinct representation of such a principle. The singularity at the center of the Keplerian rotation forces the flow to align with the “generalized vorticity” (including the effect of localized density and finite dissipation) which appears as an axle penetrating the disk – hence, the collimated jet is a Beltrami flow. An analytical expression of a disk-jet system has been constructed. Employing the Beltrami-Bernoulli flow configuration of disk-jet structure we apply our model for the analytic …...more
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Nana SHATASHVILI - Generalized Beltrami-Bernoulli Flow Model...

Institut des Hautes Etudes Scientifiques (IHES)
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Intro

0:00

The macroscopic disk-jet geometry - a marked similarity - 2

7:21

The basic properties of disk-jet systems - 2

10:12

Disk-Jet system is a generalized Beltrami vortex

13:38

Momentum Equation - Simplest MHD Model

15:09

Beltrami model of a Disk-Jet System

19:29

Remark on Beltrami Condition

22:06

A similarity solution modeling fundamental disk-jet structure

23:03

Conclusion for Universal Disk-Jet Structure Problem

24:07

Comment on the Singularity of Keplerian Velocity

27:49

Hydrodynamic Jet formation from Protestellar Aceretion Disks

28:52

Hydrodynamic Jet formation from Protestellar Accretion Disks 3

32:02

Simplest MHD Model with Turbulent Viscosity

33:33

Turblent Viscosity model

35:05

Turbulent Viscosity Model - 2

36:52

Stationary Solutions in similarity Variables 2

39:42

Disk-Jet Structure - Generalized Beltrami Flow

41:38

Disk-Jet Structure Solutions - Properties, Realizability

43:46

Linkage with Observational Properties of YSOs - 2

52:25

Summary and Future Perspectives

56:54
Nana SHATASHVILI - Generalized Beltrami-Bernoulli Flow Model...
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2020Feb 15
Generalized Beltrami-Bernoulli Flow Model for Astrophysical Disk-Jet Structure Formation In the vicinity of a massive object of various scales (ranging from young stars to galactic nuclei), mass flow creates a spectacular structure combining a thin disk and collimated jet. Despite a wide range of scaling parameters, they exhibit a remarkable similarity that must be dictated by a universal principle. A generalized Beltrami condition has been formulated as a succinct representation of such a principle. The singularity at the center of the Keplerian rotation forces the flow to align with the “generalized vorticity” (including the effect of localized density and finite dissipation) which appears as an axle penetrating the disk – hence, the collimated jet is a Beltrami flow. An analytical expression of a disk-jet system has been constructed. Employing the Beltrami-Bernoulli flow configuration of disk-jet structure we apply our model for the analytic description of hydrodynamic jets from protostellar disks. For this purpose, we extend the standard turbulent viscosity prescription and derive several classes of analytic solutions using the flow parametrization in self-similar variables. Derived solutions describe the disk-jet structure, where, for the first time, jet properties are analytically linked with the properties of the accretion disk flow. These solutions can be used to analyze the astrophysical jets from protostellar accretion disks and link the properties of outflows with the local observational properties of accretion disk flows.

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Institut des Hautes Etudes Scientifiques (IHES)

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