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I see what they are trying to do here, but I'm not sure that the approach they use gives the actual solution to the equations as stated. Not that that matters, because it is only a simulation, and not an attempt for really quantify what is happening. The second equation actually describes the transport and generation of an inert tracer species (of low ...

1

From the abstract of "The physical mechanism of symmetric vortex merger: A new viewpoint": Their 'results suggest that a complete merging process is as follows: the vortices deform first due to the mutually induced straining; the deformation results in elliptical vortices and an angle between the major axis of each elliptical vortex and the line ...

3

This is a very interesting question. Although I am not able to come up with a full answer, nor do I know if research or established results about this topic are available, here is what I am thinking. The incompressible inviscid flow is described by the Euler equation instead of the Navier-Stokes equation. According to the Helmholtz theorems, vortices cannot ...

0

The system can be approximated with Poiseuille's equation: $$\Delta P=\frac{8\mu LQ}{\pi R^4}$$ where $Q$ is the volumetric flow rate through a catheter. So, for catheters $A$ and $B$ of equal lengths with the same pressure difference ($\Delta P$) between their endpoints, \Delta P = \frac{8\mu (L_1+L_2)Q_A}{\pi ...

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