Accession Number : AD0265102

Title :   ON THE FLOW OF INVISCID CONDUCTING FLUID PAST A CIRCULAR CYLINDER WITH APPLIED MAGNETIC FIELD

Corporate Author : CORNELL UNIV ITHACA N Y

Personal Author(s) : TAMADA,KO

Report Date : JUL 1961

Pagination or Media Count : 1

Abstract : An analysis is made on the steady flow of an incompressible, inviscid, electrically conducting fluid past a circular cylinder, in the presence of an applied magnetic field parallel to the undisturbed stream. The fundamental equations are linearized by making use of the Oseen-type (or small-perturbation) approximation in order to make the problem tractable. This approximation is difficult to justify in the vicinity of the cylinder. Qualitatively correct pictures of the flow and magnetic fields may be obtained, just as in the classical Oseen theory for the ordinary viscous flow. Explicit solutions for the velocity and magnetic fields are obtained in series expansion in R sub m, the magnetic Reynolds number, correct to O x R sub m squared. More complete solutions are given for the special case in which S (pressure number) is infinite and SR sub m is finite, and for the case where S equals 1 and (S-1)R sub m equals 0 or finite. Some numerical discussions of the results are also made. (Author)

Descriptors :   *AERODYNAMIC CHARACTERISTICS, *CYLINDRICAL BODIES, *FLUID FLOW, *MAGNETIC FIELDS, *MAGNETOHYDRODYNAMICS, BOUNDARY LAYER, DIFFERENTIAL EQUATIONS, ELECTRIC FIELDS, EQUATIONS, INTEGRAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, REYNOLDS NUMBER, VELOCITY, WAKE

Distribution Statement : APPROVED FOR PUBLIC RELEASE