REDUCIBLE PROBLEMS IN MAGNETO-FLUID DYNAMIC STEADY FLOWS

Journal Article · Sat Oct 01 04:00:00 EDT 1960 · Revs. Modern Phys.

DOI:https://doi.org/10.1103/RevModPhys.32.830· OSTI ID:4096605

Grad, H

Some reducible fluid-magnetic boundary-value problems are developed in order to map out solvable mathematical structures and analyze the similarities and contrasts with ordinary fluid dynamics. This analysis of reducible flows serves to separate large classes of fluid-magnetic problems which are relatively accessible using fluid-dynamical techniques which may require the development of significantly new techniques in order to handle boundary-value problems. An analog is given which allows the application of a large part of the literature of inviscid fluid dynamics to a part of magneto-fluid dynamics. Another reduction to a system with essentially one characteristic cone is given by the parallel flows (fluid velocity and magnetic field locally parallel). This constraint is compatible in the sense that it does not restrict the solution to a few isolated flows but allows the imposition of a class of arbitrary boundary conditions. The reduction for the fluid-magnetic equations was carried out for two-dimensional steady flow, treating only the linear problem of perturbations about a uniform magnetic field B/sub 0/, arbitrarily oriented and a uniform flow, u/sub 0/. The results are applied to the flow around a thin airfoil. The flow about a three- dimensional plane lamina with an arbitrary cross section, described in terms of the given normal component of velocity as a boundary condition, was investigated. (B.O.G.)

• Research Organization: New York Univ., New York
• NSA Number: NSA-15-010262
• OSTI ID: 4096605
• Journal Information: Revs. Modern Phys., Journal Name: Revs. Modern Phys. Vol. Vol: 32
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

AIR
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
FLUID FLOW
FOILS
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
MATHEMATICS
PERTURBATION THEORY
PHYSICS
VISCOSITY