Hello, I am trying to design a syringe pump for microfluidic extrusion uses. I have a 5cc syringe tube that I will use as the cartridge. We would be using it to extrude a variety of materials so the viscosity is uncertain.

I want to know what's the best way to find out what the maximum linear force is needed from the piston to deliver a certain extrusion speed of certain materials.

I was thinking maybe doing an experiment with different materials in the cartridge would be the most straight forward but at this time no one is allowed back in the lab...

Is there a good theoretical way to find a ballpark range of force that might be needed? Maybe the Poiseuille Equation?

I am very new to this. Thanks for any advice!