Dear Morteza, If you get a drop voltage between a pair of electrodes, from the viewpoint of electronics, you need to include an amplifying stage. Thus, if you collaborate with an electronic, electrical, or mechatronics engineer, the issue can be solved.
The micro particle image velocimetry method has also been used for detecting are able to control particles and liquid flow in micro- and nano-channels.
I was searching for Coulter counter constant flow methodology and found your question.
Well, hope you got proper solution to your question but still I will try to answer this question, which may help someone else.
If the current you are getting is Nano or Pico amps better to use Transimpedance Amplifier (TIA). And if your current is milliamps or higher use Differential amplifier. Though you can use TIA for milliamps also but I found differential amplifier easier. The best part is you can find ready made circuit board for both these Amplifiers.