Lift on Slender Bodies with Elliptical Cross section Evaluated by Using an Oseen Flow Model

Abstract

Consider uniform, incompressible flow past a slender body with an elliptical cross section such that the major axis of the body is inclined slightly to the flow direction. Assume that the flow is inviscid everywhere except in a thin boundary layer region and in the vortex core of trailing line vortices that emanate from the body into the vortex wake. Hence, the flow is quasi-inviscid, and so the slip (impermeability) boundary condition is applied. Further assume that outside the boundary layer the velocity is to first order the uniform stream velocity. Then the Oseen approximation can be applied. The resulting solution, up to the slender body approximation, is given, and the lift over the slender body is determined. This solution is then compared with the theoretical and experimental results for flow past a delta wing, the viscous cross-flow method and experimental results for flow past a body with a circular cross section, and Newtonian impact theory and experimental results for flow past a body with an ...