Author: BIGS 2007 (C. Bluck, J. Gans, A. Gleixner, Prof. Heimbrodt, S. Stallmann)
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Explanation
A1 - is the streamed cross-section on the left side
v1 - is the corresponding streaming velocity
A2 - is the streamed cross-section in the middle
V2 - is the corresponding streaming velocity in the middle part
V - A*v*dt leads to the streamed volume
The animation shows a streamed tube where no liquid can leave the tube through the body.
On the one side the volume A1*v*1dt stream into the tube and on the other the volume A2*v2*dt streams out of the tube.
As a precondition we assume the liquid to be incompressible both volumes have to be the identical according to the continuity equation: