On the Flow of a Viscous Fluid past an Inclined Elliptic Cylinder at Small Reynolds Numbers

The steady flow of a viscous fluid past an elliptic cylinder set at an arbitrarily given angle to the uniform flow, is discussed on the basis of Oseen's linearized equation of motion, using elliptic coordinates. New fundamental solutions for the stream function are obtained. The expansion formulae for the lift and drag in powers of Reynolds numbers are obtained, which coincide perfectly with Imai's formulae obtained by a new expansion method using complex variables.