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So I was trying to understand how fluid flow is affected through a transition duct when I found this study that was done. In the study it was noticed that there was a dramatic drop in velocity near the end of the transition near the edges and was also dependent on the length in the transition (Which makes sense). I was curious if anyone knew anything about the math behind this relationship to basically calculate the pressure drop and or velocity change based on the initial cross section, final cross section,and length of the transition (possibly even angle of transition and other things like that).