Accession Number : AD0278239

Title :   MAGNETOHYDRODYNAMIC FLOW PAST A THIN AIRFOIL

Corporate Author : AIR FORCE OFFICE OF SCIENTIFIC RESEARCH ARLINGTON VA

Personal Author(s) : CUMBERBATCH,E. ; SARASON,L. ; WEITZNER,H.

Report Date : 15 MAR 1962

Pagination or Media Count : 1

Abstract : The steady flow of a perfectly conducting magnetohydrodynamic fluid past a thin non-conducting airfoil is studied in the 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 to the case of an arbitrarily inclined unperturbed field. The general solution contains four line singularities along the characteristics through the ends of the body, and has two arbitrary constants. By a generalized Kut a-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. (Author)

Descriptors :   AIRFOILS

Distribution Statement : APPROVED FOR PUBLIC RELEASE