Abstract
The purpose of this paper is to elucidate the fundamental features of the vorticity induced by the flow withdrawn through a hole at the center of the bottom of a vessel. The problem to be solved is based on the unsteady axsymmetrical flow composed of a solid rotation which is generated by a tangential injection of feeding water at infiinity. The numerical solutions are computed using the initial value of the well-known Bodewadt's solution in the case without a sink. It is shown that there exists a dividing streamline of the sink flow along the bottom surface of the vessel from the main flow beyond its streamline. The nature of the axial circulation in the container is characterized by the combination of Lewellen or Burger's vortex flow based on stagnation-point flow within the region about a vorticity core with Bodewadt's solution for the case of no sink.
