updated abstract and conclusions

texdocs/docs/conclusions.tex

@@ -4,7 +4,7 @@ \section{Summary}
 Axial wake vortices were created with a bi-wing vortex generator in a low speed 
 wind tunnel, at free stream velocities between 15 and 33 $m/s$. Particle image 
 velocimetry was used to resolve the three dimensional vector field in seven 
-slices between 5.4 and 9.5 chord lengths down stream. The core of these 
+slices between 5.4 and 10 chord lengths down stream. The core of these 
 vortices was observed to periodically ingest turbulent energy and squeeze it to 
 within one half of a core radii. The cyclical ingestion of turbulence was shown 
 to have the effect of significantly reducing the core radius. If this phenomena 
@@ -17,9 +17,11 @@ \section{Summary}
 Velocity profiles given by a turbulent viscosity based exact solution to the 
 Navier Stokes equations
 from non-equilibrium pressure theory were found to accurately predict 
-the velocity profiles of the experimental data set \cite{ash2011}. These 
-velocity profiles were used to estimate the total viscosity to and examine the 
-constant turbulent viscosity assumption as it applies to axial wake vortices. 
+the velocity profiles of the experimental data set \cite{ash2011}. The mean and 
+fluctuating components of the Reynolds decomposed velocities were used to 
+demonstrate that total viscosity could be approximated as a constant 
+outside one half of a core radius, with a small but consistent increases 
+typically found between 1 and 1.5 core radii. 
 
 \newpage
 \section{recommendations for future work}
@@ -32,16 +34,20 @@ \section{recommendations for future work}
 time will help to mitigate the effects of environmental changes over the 
 duration of tests. Additionally, PIV 
 data need only be taken at one or two stations, but further downstream than in 
-the present study. A test at many chord lengths down stream over a narrow 
+the present study to allow co-rotating vortices sufficient time to merge more 
+completely. A set of experiments at many chord lengths down stream over a 
+narrow 
 velocity range in very small increments could allow a 
 more detailed view of the evolution of vortex turbulence structures by 
 comparing velocity fluctuation profiles between vortices of different ages. 
 Furthermore, fewer interrogation stations and corresponding PIV geometries will 
-simplify Monte Carlo uncertainty analysis significantly. 
+simplify Monte Carlo uncertainty analysis significantly, and reduce the 
+complexity of the experiment design due to optical constraints.
 
 The use of a 
 bi-wing vortex generator without a center body may result in a faster merging 
 of the co-rotating vortex pair, to accommodate testing geometries in wind 
-tunnels short test sections such as the ODU low speed wind tunnel. The use of a 
-high accuracy hygrometer for measuring relative humidity is also recommended to 
-allow more precise determination of the pressure relaxation coefficient.
+tunnels with short test sections such as the ODU low speed wind tunnel. The use 
+of a high accuracy digital hygrometer for measuring relative humidity is also 
+recommended to allow more precise determination of the pressure relaxation 
+coefficient, which is extremely sensitive to small changes in relative humidity.

texdocs/main.tex

@@ -68,12 +68,14 @@
 	generator in a low speed wind tunnel, at free stream velocities between 15 
 	and 33 $m/s$. Stereo particle image velocimetry was employed to 
 	map three dimensional velocity vectors at positions between 5.4 and 10 
-	chord lengths behind the vortex generator at a rate of 1Hz for 200 seconds. 
-	A Reynolds time averaging approach was used to synthesize this velocity 
-	data into stable and fluctuating components and to study turbulent 
-	structures within the vortices.The core of these vortices was observed to 
-	periodically ingest turbulent energy and squeeze it to within one half of a 
-	core radii. The cyclical ingestion of turbulence was shown to have the 
+	chord lengths behind the vortex generator at a sampling rate of 1Hz for 200 
+	seconds. A Reynolds time averaging approach was used to synthesize velocity 
+	measurements into stable and fluctuating components and to study turbulent 
+	structures within the vortices. Periodicity in turbulent energy and 
+	Reynolds stress structures was observed by comparing vortex velocity fields 
+	normalized by age. The cores of these vortices were also observed to 
+	periodically ingest turbulent energy and squeeze it to within one half 
+	of a core radii. The cyclical ingestion of turbulence was shown to have the 
 	effect of significantly reducing the core radius. If this phenomena 
 	persists for the life of the vortex, it could provide an explanation for 
 	the longevity of the azimuthal velocity component observed in natural wake