AN INFINITE SERIES SOLUTION FOR THE FLOW OF AN INVISCID FLUID INTO A CIRCULAR INLET IN THE PRESENCE OF A CROSS-FLOW

This paper presents an infinite series solution for the irrotational h ow of an inviscid fluid into an inlet in the presence of a cross-flow. The flow domain considered consists of a semiinfinite space and a cir cular cylindrical intake of infinite length. Analytic solutions are fi rst obtained outside and within the intake for arbitrary normal veloci ty profiles at the intake mouth. The flow is then determined by matchi ng the potential and normal velocity profiles given by the two solutio ns at the intake mouth. The resulting flow predictions are compared wi th inviscid and laminar flow solutions obtained using the finite eleme nt method.