The limitation to the length depends only on a pressure drop one could induce. like in electricity, the flow rate is proportional to the potential difference (pressure drop) and inverse proportional to the resistance. The resistance on its turn is proportional to the length of the channel and inverse proportional to the section area. It means the longer it the channel the higher pressure drop is needed to achieve a certain flow rate.
I was using the calculator on Dolomite web site and mistakenly entered the length into mm thinking that I was entering in microns. So i entered length as long as 1 km. The calculator still gave me calculations...as it would be expected, but it raised a question as to what is the maximum practically length feasible considering constrains on material strength. Is it actually practically possible to make a km long serpentine resistor or a droplet storage channel...??..just wondering...
You must take, if channel increase, the pressure (deltaP) you must applied will more strongly increase if you want to kept your flow rate constant!!! I have made lot of experiments where it was not possible to fill my microchannel...