Closure To 'investigation Of Flow Upstream Of Orifices' By D. B. Bryant, A. A. Khan, N. M. Aziz

摘要

The writers would like to thank the discussers for their interest in the paper. As stated clearly in the paper, the current model is based on the model described by Shammaa et al. (2005) (i.e., distributing point sinks over the area of the orifice). However, modifications and additions to the basic approach are suggested to improve the model. The term "new model" was used to differentiate between what was proposed in the paper and that put forward by Shammaa et al. (2005). The difference between the two approaches comes from the way the velocities are considered in the two cases. For example, if the orifice is treated as a single sink then the velocity will be radial at every point (i.e., the velocity will point toward the center of the orifice). Since Shammaa et al. (2005) distributed point sinks across the area of the orifice, the velocity would not point toward the center of the orifice at every point upstream of the orifice. That is where the two solutions differ. The Shammaa et al. (2005) solution assumed that the velocity would, at every point, still be given by the radial component only (based on the polar coordinate system), and that superposition could be achieved by simply adding the radial components. In terms of a polar coordinate system, the velocity at every point has both radial and transverse components.