# MAGNETOHYDRODYNAMIC ROTATION OF PLASMAS

## Abstract

The rotation of an incompressible plasma was analyzed for the case when it is confined in an axisymmetrical cylindrical structure impressed with radial electric and axial magnetic fields. The analyses were concerned with steady and transient, one- and two-dimensional laminar flow of a nonviscous and viscous plasma with either small or very large electrical conductivity. The one- dimensional analysis, referred to as the Zero Radial Mass Flux (ZRMF), involves the azimuthal component of velocity only. The two-dimensional analysis, called the Non-Zero Radial Mass Flux (NRMF), deals with both the azimuthal and radial components of velocity. On the basis of two physically interesting approximations, the flat disc and the long cylinder, analytical solutions were obtained for both the steady and unsteady velocity and pressure fields. Certain quantities of technological interest were determined. In particular, the radial electric current, electric power input, kinetic energy stored in the device, and the dissipative mechanisms of Joule heating and viscous dissipation were obtained for all the cases considered. The analysis of the single fluid was extended to include a multicomponent fluid. Hence the magnetohydrodynamic analogue of the well-known centrifuge was considered. (Dissertation abstr., 24: No. 9, March 1964)

- Authors:

- Publication Date:

- Research Org.:
- Originating Research Org. not identified

- OSTI Identifier:
- 4006238

- NSA Number:
- NSA-18-021443

- Resource Type:
- Thesis/Dissertation

- Resource Relation:
- Other Information: Thesis. Orig. Receipt Date: 31-DEC-64

- Country of Publication:
- Country unknown/Code not available

- Language:
- English

- Subject:
- PHYSICS; CONFIGURATION; CONFINEMENT; CURRENTS; CYLINDERS; DIFFERENTIAL EQUATIONS; ELECTRIC CONDUCTIVITY; ELECTRIC FIELDS; ENERGY; FLUID FLOW; HEATING; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; PLASMA; POWER; PRESSURE; ROTATION; STORAGE; TRANSIENTS; VELOCITY; VISCOSITY

### Citation Formats

```
Kessey, K O.
```*MAGNETOHYDRODYNAMIC ROTATION OF PLASMAS*. Country unknown/Code not available: N. p., 1963.
Web.

```
Kessey, K O.
```*MAGNETOHYDRODYNAMIC ROTATION OF PLASMAS*. Country unknown/Code not available.

```
Kessey, K O. 1963.
"MAGNETOHYDRODYNAMIC ROTATION OF PLASMAS". Country unknown/Code not available.
```

```
@article{osti_4006238,
```

title = {MAGNETOHYDRODYNAMIC ROTATION OF PLASMAS},

author = {Kessey, K O},

abstractNote = {The rotation of an incompressible plasma was analyzed for the case when it is confined in an axisymmetrical cylindrical structure impressed with radial electric and axial magnetic fields. The analyses were concerned with steady and transient, one- and two-dimensional laminar flow of a nonviscous and viscous plasma with either small or very large electrical conductivity. The one- dimensional analysis, referred to as the Zero Radial Mass Flux (ZRMF), involves the azimuthal component of velocity only. The two-dimensional analysis, called the Non-Zero Radial Mass Flux (NRMF), deals with both the azimuthal and radial components of velocity. On the basis of two physically interesting approximations, the flat disc and the long cylinder, analytical solutions were obtained for both the steady and unsteady velocity and pressure fields. Certain quantities of technological interest were determined. In particular, the radial electric current, electric power input, kinetic energy stored in the device, and the dissipative mechanisms of Joule heating and viscous dissipation were obtained for all the cases considered. The analysis of the single fluid was extended to include a multicomponent fluid. Hence the magnetohydrodynamic analogue of the well-known centrifuge was considered. (Dissertation abstr., 24: No. 9, March 1964)},

doi = {},

url = {https://www.osti.gov/biblio/4006238},
journal = {},

number = ,

volume = ,

place = {Country unknown/Code not available},

year = {1963},

month = {1}

}