# Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration

## Abstract

A Solovev-like solution describing equilibria with field aligned incompressible flows [G. N. Throumoulopoulos and H. Tasso, Phys. Plasmas 19, 014504 (2012)] is extended to non parallel flows. The solution expressed as a superposition of Bessel functions contains an arbitrary number of free parameters which are exploited to construct a variety of configurations including ITER shaped ones. For parallel flows, application of a sufficient condition for linear stability shows that this condition is satisfied in an appreciable part of the plasma region on the high-field side mostly due to the variation of the magnetic field perpendicular to the magnetic surfaces. Also, the results indicate that depending on the shape of the Mach-function profile and the values of the free parameters the flow and flow shear may have either stabilizing or destabilizing effects.

- Authors:

- Department of Physics, University of Ioannina, GR 451 10 Ioannina (Greece)

- Publication Date:

- OSTI Identifier:
- 22303814

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 8; Other Information: (c) 2014 EURATOM; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BESSEL FUNCTIONS; CONFIGURATION; EQUILIBRIUM; INCOMPRESSIBLE FLOW; ITER TOKAMAK; MAGNETIC FIELDS; MAGNETIC SURFACES; MATHEMATICAL SOLUTIONS; PLASMA; SHEAR; STABILITY

### Citation Formats

```
Kaltsas, D. A., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr, and Throumoulopoulos, G. N., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr.
```*Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration*. United States: N. p., 2014.
Web. doi:10.1063/1.4892380.

```
Kaltsas, D. A., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr, & Throumoulopoulos, G. N., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr.
```*Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration*. United States. doi:10.1063/1.4892380.

```
Kaltsas, D. A., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr, and Throumoulopoulos, G. N., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr. Fri .
"Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration". United States.
doi:10.1063/1.4892380.
```

```
@article{osti_22303814,
```

title = {Generalized Solovev equilibrium with sheared flow of arbitrary direction and stability consideration},

author = {Kaltsas, D. A., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr and Throumoulopoulos, G. N., E-mail: dkaltsas@cc.uoi.gr, E-mail: gthroum@cc.uoi.gr},

abstractNote = {A Solovev-like solution describing equilibria with field aligned incompressible flows [G. N. Throumoulopoulos and H. Tasso, Phys. Plasmas 19, 014504 (2012)] is extended to non parallel flows. The solution expressed as a superposition of Bessel functions contains an arbitrary number of free parameters which are exploited to construct a variety of configurations including ITER shaped ones. For parallel flows, application of a sufficient condition for linear stability shows that this condition is satisfied in an appreciable part of the plasma region on the high-field side mostly due to the variation of the magnetic field perpendicular to the magnetic surfaces. Also, the results indicate that depending on the shape of the Mach-function profile and the values of the free parameters the flow and flow shear may have either stabilizing or destabilizing effects.},

doi = {10.1063/1.4892380},

journal = {Physics of Plasmas},

number = 8,

volume = 21,

place = {United States},

year = {Fri Aug 15 00:00:00 EDT 2014},

month = {Fri Aug 15 00:00:00 EDT 2014}

}