Capillary siphon modeling

Hi,


I need to use a capillary to transport fluid by siphon. The inside
diameter
of the capillary is 100 micron meter. These are what I noticed:


1). The height difference between the two end of the capillary has
to
large enough to form a flow. I guess it is either due to friction or
surface
tension. The pressure has to be larger enough to form a droplet.


2). The flow rate is not proportional to time. The size of the
droplet formed
at the tip affects the flow rate.


3). The flow rate is not proportional to the height difference.


I wonder if there is any analytical solution or modeling for such
phenomenal?
I searched but can't find any.


Any help is highly appreciated.


Thanks a lot!


Tao

.

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