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Once the images were obtained, some data processing had to be performed in order to get the desired results and filter out erroneous data.  Image pairs were processed with a subwindow size of 16pix x 16pix.  This size was somewhat arbitrary, but was hoped to capture high image correlation between pairs.  This choice of subwindow size resulted in a map of mean displacements in each subwindow. Using an image of a ruler to calibrate distance as well as knowing that the camera image rate was 30 Hz, these displacements were then converted to velocities by the equation:
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 The U and V displacement matrices were also run through a simple band pass filter that set a tolerance for upper and lower bounds of displacement and cut out background noise.  Histograms of U and V data for each temperature data set were examined and upper and lower bounds were chosen based on visual inspection.  If a data point appeared outside of these bounds, the data point was set to the mean value at that data point. 

 

Figure 6 - Band Pass Filter schematic and generic Matlab code used to process the data.

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Figure 8 - Vector map of mean displacements at 50°C. 


Figure 9 - Vector map of mean displacements at 70°C. 

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