Accession Number:

AD0652249

Title:

CONSTRUCTION OF STEADY-STATE HYDROMAGNETIC DYNAMOS. I. SPATIALLY PERIODIC FIELDS,

Descriptive Note:

Corporate Author:

NEW YORK UNIV N Y MAGNETO-FLUID DYNAMICS DIV

Personal Author(s):

• Childress,Stephen

Report Date:

1967-03-15

Pagination or Media Count:

40.0

Abstract:

Steady-state hydromagnetic induction in an infinite three-dimensional fluid conductor is studied under the assumption that the velocity field is periodic in space and representable as a finite trigonometric series. It is shown that there exist fields of this type, which include certain perfect fluid motions, such that the corresponding induction equations possess non-trivial regular solutions which vanish at infinity. The conductor thus behaves like a self-excited fluid dynamo, and any such motion is said to constitute a periodic dynamo. Author

Descriptors:

• (*MAGNETOHYDRODYNAMICS
• MATHEMATICAL MODELS)
• INDUCTANCE
• VECTOR SPACES
• SERIES(MATHEMATICS)
• DIFFERENTIAL EQUATIONS
• ELECTROMAGNETIC FIELDS
• MAGNETOHYDRODYNAMIC GENERATORS

Subject Categories:

• Atmospheric Physics
• Electric Power Production and Distribution
• Plasma Physics and Magnetohydrodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE