Flow Across a Cylinder with Hemispherical Head

Abstract

Since a theoretical treatment of the flow around a body with an arbitrary shape is usually difficult, only some of simple cases have been solved. In this paper, it is shown that a uniform flow around a body can be treated theoretically by an analysis of the combined flow of distributed three-dimensional doublets and uniform flow, so far as the body is of an axisymmetrical shape and does not have any sudden change on its surface. As an example, a clew of determining the position of static holes of a Pitot-static tube is also given by applying the analysis to the flow around a cylinder with hemispherical head. The analytical results obtained are compared with the combined flow of a three-dimensional source and uniform flow and also with an experimental result reported by Ower and Johansen.