
Accession Number : AD0281879
Title : SOME ASPECTS OF MAGNETOHYDRODYNAMIC FLOW ABOUT A BLUNT BODY,
Corporate Author : CORNELL UNIV ITHACA N Y GRADUATE SCHOOL OF AEROSPACE ENGINEERING
Personal Author(s) : Leonard,B. P.
Report Date : JUN 1962
Pagination or Media Count : 38
Abstract : Electromagnetic body forces are nonconservative. The effects of such forces are studied here in the case of inviscid incompressible flow about a blunt body. The nonlinear simultaneous partial differential equations describing the flow can be solved in various regimes corresponding to certain values of two parameters: RM, the magnetic Reynolds number, and A where A to the 1/2 power is the Alfven number. For the case of small Rm, and small magnetic force coefficient, S, equations can be derived which are linear and independent. These are solved for some particular unsteady flows, and the results show that, in these cases, vorticity is introduced in such a way that it is independent of time. The equations are linearized by using the velocity field of ordinary hydrodynamics (OHD) in the convective derivatives. This technique is valid for all Rm provided either A or S is small. For large Rm, it results in a solution showing a boundarylayer character. Two results are of interest: First, the appearance of the downstream nondiffusive trail of vorticity in the small Rm, small S case; Secondly, the fact that for all cases studied the region of significant current density is close to the body, and any wakelike effect is either highly diffusive (small Rm) or extremely weak (large Rm). (Author)
Descriptors : *MAGNETOHYDRODYNAMICS, BLUNT BODIES, FLUID FLOW, INTEGRAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, VECTOR ANALYSIS, VORTICES
Distribution Statement : APPROVED FOR PUBLIC RELEASE