Three-dimensional magnetohydrodynamic duct flow in a non-uniform magnetic field

Thesis/Dissertation · Thu Jan 01 00:00:00 EST 1981

OSTI ID:5126860

Petrykowski, J C

The theory of three-dimensional magnetohydrodynamic duct flows in uniform magnetic fields is well developed. A corresponding theory for non-uniform magnetic fields does not exist. This study represents the first analysis of a three-dimensional MHD duct flow in which the magnetic field has spatial variations. In this way, the important problem of end effects can be modeled. The duct is an expansion with parallel, perfectly-conducting side walls and diverging, electrically insulating top and bottom walls. The problem is solved using boundary layer techniques via matched asymptotic expansions. Solutions for the core, Hartmann layer, intersection layer, and side layer are determined. In particular, the analysis of the side layer problem centers on solving a formidable pair of coupled Fredholm integral equations. The complexity of these equations requires that numerical quadrature technique be used. The velocity field in the side layer has two notable features. A weak secondary flow exists which is driven by a correspondingly weak transverse electromagnetic force. The curvature of the field lines and the duct geometry conspire to produce this weak force. Secondly, the non-uniform magnetic field generates a radial velocity profile with multiple overshoots of the core value. Several divergence angles are considered.

• Research Organization: Illinois Univ., Urbana (USA)
• OSTI ID: 5126860
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
MAGNETOHYDRODYNAMICS
FLUID FLOW
ASYMPTOTIC SOLUTIONS
BOUNDARY LAYERS
DUCTS
END EFFECTS
FREDHOLM EQUATION
LAYERS
MAGNETIC FIELDS
MATHEMATICAL MODELS
QUADRATURES
THREE-DIMENSIONAL CALCULATIONS
VARIATIONS
VELOCITY
EQUATIONS
FLUID MECHANICS
HYDRODYNAMICS
INTEGRAL EQUATIONS
MECHANICS
640430* - Fluid Physics- Magnetohydrodynamics