Viscous and inviscid flows generated by wall-normal injection into a cylindrical cavity with a headwall

摘要

An analysis of viscous and inviscid steady flows in a cylindrical cavity of a circular cross section with a headwall is presented. The flow is induced by wall-normal injection from both the sidewall and the headwall which includes the zeroth tangential velocity at the injecting boundaries. It is shown that in the inviscid limit the functional vorticity-stream function relation is essentially nonlinear and singular becoming linear far downstream. (C) 2008 American Institute of Physics. [DOI: 10.1063/1.3045738]