Magnetohydrodynamic flow past a thin airfoil

Journal Article · Fri Mar 01 04:00:00 EST 1963 · AIAA Journal

DOI:https://doi.org/10.2514/3.1613· OSTI ID:4729224

CUMBERBATCH, E.; SARASON, L.; WEITZNER, H.

The steady flow of a perfectly conducting magnetohydrodynamic fluid past a thin nonconducting airfoil is studied with the usual model in which the fluid variables obey the Lundquist equations linearized about a constant unperturbed flow. Hyperliptic flows, in which hyperbolic and elliptic fields are superimposed, are considered. Results of Grad, McCune and Resler, and Sears and Resler are extended and considered in detail for the case of an arbitrarily inclined unperturbed field. The general solution contains four line singularlties along the characteristics through the ends of the body and has two arbitrary constants. By a generalized Kutta-Joukowski condition, these constants are fixed so that two of the line singularities disappear. Specifically, it is required that the solution be locally square integrable. Behavior of the exponents of the singularities is investigated by numerical computation and, in limiting cases, analytically. The singular parts of some flows are investigated numerically.

• Research Organization: New York Univ., New York
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-020630
• OSTI ID: 4729224
• Journal Information: AIAA Journal, Journal Name: AIAA Journal Journal Issue: 3 Vol. 1; ISSN 0001-1452
• Publisher: AIAA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AIR
DIFFERENTIAL EQUATIONS
ELECTRIC CONDUCTIVITY
ELECTRIC FIELDS
FLUID FLOW
FOILS
LAYERS
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
NUMERICALS