Hydromagnetic Oseen Flow past an Elliptic Cylinder in a Uniform Magnetic Field

抄録

This paper deals with the flow of a viscous, incompressible and electrically conducting fluid past an inclined elliptic cylinder in a parallel magnetic field, making use of a perturbation method similar to Oseen approximation. Approximate formulae for the forces experienced by the cylinder are obtained only to the lowest order of the Reynolds number and the magnetic Reynolds number. The drag and lift coefficients are then expressed as functions of five non-dimensional parameters, i.e., the Reynolds number, the magnetic Reynolds number, the pressure number, the thickness-ratio and the angle of incidence of the cylinder. Numerical calculations for the drag and lift coefficients as well as their ratio are carried out for various values of these five parameters. It may be noted in the numerical results that the angle of incidence of the cylinder at which the lift coefficient has a maximum value with the increase of the pressure number S when S<1, and the reveres is the case when S>1.