Discharge From a Vessel Through an Axisymmetric Control Valve

The problem of an incompressible flow discharge through an axisymmetric control valve has been examined through the method of hodograph transformation. The boundary value problem in the hodograph plane has an unusual feature in that part of the boundary is overlapped. Certain manipulations have been applied to produce the realistic free streamline configuration. The rate of discharge is obtained for various locations of the valve. This investigation provides the evidence that the method of hodograph transformation coupled with numerical computation is indeed effective in dealing with problems of this kind.