A Linearized Theory of Magnetohydrodynamic Flow past a Fixed Body in a Parallel Magnetic Field

抄録

In the present paper is studied the flow of a viscous, incompressible and electrically conducting fluid past a fixed body in the presence of a parallel magnetic field. A perturbation method similar to Oseen approximation in ordinary hydrodynamics is applied to both the flow field and the magnetic field. It proves that the pressure number (namely, the ratio of the magnetic pressure to the dynamic pressure) plays an important role to determine the main features of the field. Detailed calculations are carried out for the flow past a circular cylinder and an approximate formula for the drag per unit span of the cylinder is obtained.