# Theory of sheared flow generation by applied radio frequency waves

## Abstract

The possibility of employing rf to generate sheared flows in the edge plasma is of great interest as a means of accessing improved regimes of tokamak confinement. Here, we develop an electromagnetic nonlinear eikonal theory (with k{sub (perpendicular} {sub sign)}{rho}{approx}1 and k/k unrestricted) of the rf force terms which drive poloidal flow. Various cancellations, e.g., amongst parts of the electromagnetic and Reynolds stress terms, are exhibited analytically. At the heart of our calculation is the derivation of the nonlinear kinetic pressure tensor {pi}. A general expression for {pi} is obtained in terms of simple moments of the linear distribution function. In the electrostatic limit, the resulting nonlinear forces are expressible entirely in terms of the linear dielectric susceptibility tensor {chi}. Application to the ion Bernstein wave case, with retention of all Bessel function sums, is presented. Comparison is made to simpler approximate calculations. (c) 1999 American Institute of Physics.

- Authors:

- Lodestar Research Corp., 2400 Central Ave. P-5, Boulder, Colorado 80301 (United States)

- Publication Date:

- OSTI Identifier:
- 20216709

- Resource Type:
- Journal Article

- Journal Name:
- AIP Conference Proceedings

- Additional Journal Information:
- Journal Volume: 485; Journal Issue: 1; Other Information: PBD: 20 Sep 1999; Journal ID: ISSN 0094-243X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; HIGH-FREQUENCY HEATING; BERNSTEIN MODE; SHEAR; TOKAMAK TYPE REACTORS; EIKONAL APPROXIMATION; ICR HEATING; THEORETICAL DATA

### Citation Formats

```
Myra, J. R., and D'Ippolito, D. A.
```*Theory of sheared flow generation by applied radio frequency waves*. United States: N. p., 1999.
Web. doi:10.1063/1.59694.

```
Myra, J. R., & D'Ippolito, D. A.
```*Theory of sheared flow generation by applied radio frequency waves*. United States. doi:10.1063/1.59694.

```
Myra, J. R., and D'Ippolito, D. A. Mon .
"Theory of sheared flow generation by applied radio frequency waves". United States. doi:10.1063/1.59694.
```

```
@article{osti_20216709,
```

title = {Theory of sheared flow generation by applied radio frequency waves},

author = {Myra, J. R. and D'Ippolito, D. A.},

abstractNote = {The possibility of employing rf to generate sheared flows in the edge plasma is of great interest as a means of accessing improved regimes of tokamak confinement. Here, we develop an electromagnetic nonlinear eikonal theory (with k{sub (perpendicular} {sub sign)}{rho}{approx}1 and k/k unrestricted) of the rf force terms which drive poloidal flow. Various cancellations, e.g., amongst parts of the electromagnetic and Reynolds stress terms, are exhibited analytically. At the heart of our calculation is the derivation of the nonlinear kinetic pressure tensor {pi}. A general expression for {pi} is obtained in terms of simple moments of the linear distribution function. In the electrostatic limit, the resulting nonlinear forces are expressible entirely in terms of the linear dielectric susceptibility tensor {chi}. Application to the ion Bernstein wave case, with retention of all Bessel function sums, is presented. Comparison is made to simpler approximate calculations. (c) 1999 American Institute of Physics.},

doi = {10.1063/1.59694},

journal = {AIP Conference Proceedings},

issn = {0094-243X},

number = 1,

volume = 485,

place = {United States},

year = {1999},

month = {9}

}