Appendix A 
EQUATIONS AND DATA DESCRIBING THE FLOW RESULTING 
FROM A TWO-DIMENSIONAL INCOMPRESSIBLE JET ISSUING 
PARALLEL TO AN OFFSET FLAT PLATE. 
This appendix lists the equations and data describing the flow 
resulting from a two dimensional incompressible jet issuing 
parallel to an offset flat plate. 
Wall Attachment Flow Analysis 
This problem has been treated in depth by Bourque and Newman [4], 
and by Sawyer [5] independently. The analysis conducted by Bourque 
and Newman is easier to understand and covers a wide range of flow 
parameters. In this study therefore only the results of Reference 
4 were used. 
The analysis can be described by considering the flow of 
a two-dimensional jet issuing from a nozzle in a wall adjacent 
to a parallel plate with an offset D as shown in Figure A-l. 
The jet during its expansion entrains fluid from the surroundings 
by turbulent action. The entrainment of fluid from the plate 
side causes a pressure difference across the jet thus curving it 
toward the plate. If the plate is sufficiently long the jet 
strikes it and reattaches. The jet divides on striking the plate, 
sending part of the flow into the separation bubble. The flow 
equibilibrium is reached when the flow entrained by the plate 
side of the jet is equal to that into the separation bubble from 
the jet at the point of striking. This is the model used in 
the analysis of Reference 4. Further, the analysis is based 
upon the following assumptions: 
(1) The flow is incompressible and two dimensional, i.e., only 
thin jet sheets are considered. 
(2) The jet efflux velocity is uniform, i.e., the increase in 
its velocity with the reduced pressure in the separation bubble is 
neglected. The jet is submerged in a similar fluid and its 
velocity distribution is that of a free jet. 
(3) The jet entrains the same amount of fluid from each boundary. 
(4) Pressure within the separation bubble is constant and the 
jet center line is a circular arc up to the point of attachment. 
(5) The force on the plate due to skin friction forces are small 
and are neglected. 
The axial component of jet velocity used is 
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