An infinite series solution for the flow of an inviscid fluid into a circular inlet in the presence of a cross-flow Original Research Article

This paper presents an infinite series solution for the irrotational flow of an inviscid fluid into an inlet in the presence of a cross-flow. The flow domain considered consists of a semi-infinite space and a circular cylindrical intake of infinite length. Analytic solutions are first obtained outside and within the intake for arbitrary normal velocity profiles at the intake mouth. The flow is then determined by matching the potential and normal velocity profiles given by the two solutions at the intake mouth. The resulting flow predictions are compared with inviscid and laminar flow solutions obtained using the finite element method.