Correct formulation of airfoil problems in magnetoaerodynamics.

Effect of tensor conductivity on continuum magnetogasdynamic flows

/pdf/the-effect-of-tensor-conductivity-on-continuum-50m96h2mmw.pdf

The effect of tensor conductivity on continuum magnetogasdynamic flows

A steady flow of an ideal gas past a thin wedge profile in an aligned magnetic field is considered for arbitrary magnetic Reynolds number, Hall parameter, Mach number, and Alfven Mach number, within the linearized theory. The flow field near the obstacle is found by the numerical integration of the Fourier transfrom. The outer flow is estimated by the method of asymptotic expansion. Particular attention is placed on the transition of the flow field as the Hall parameter increases from zero to infinity for a given magnetic Reynolds number. Then, the MHD boundary layer and the MHD shock layer are dispersed away, and the flow field tends to the ordinary gasdynamic one after the intermediate state with wavy aspects. Several predictions are provided about the observation of a standing MHD shock wave.

Hall Effects in Magnetogasdynamic Flows of Finite Conductivity past a Wedge Profile

The steady, plane flow of ideal gas of low electrical conductivity with uniform magnetic field past a symmetrical airfoil is considered on the basis of the linearized theory. The magnetic Reynolds number and the Alfven Mach number are assumed to be infinitesimal but the interaction parameter N and the angle θ between the magnetic field and the main stream may be arbitrary, as well as the Mach number not so close to unity. The exact expressions of the velocity and pressure distributions on the airfoil are presented, and it is shown that no lift but the local flow slip behind the trailing edge appears when the flow is non-aligned. The simple asymptotic expressions are presented for large N and small θ. The critical behaviour of the flow field adjacent to the airfoil and the corresponding change of the drag force are discussed thereby. The critical change occurs in the vicinity of the factor N 1/2 sin θ∼1.

Non-Aligned Magnetogasdynamic Flows past a Symmetrical Airfoil

/pdf/finite-magnetic-reynolds-number-effects-in-magnetogasdynamic-1dwc5ymqes.pdf

R. Seebass

Papers

Finite-magnetic-Reynolds-number effects in magnetogasdynamic flows