Mini Ball Circulation System Design

I need a complete engineering package for a small-scale water circulation loop in which a 5 mm-diameter, 10 g stainless-steel (or similarly dense) ball travels continuously through 10 mm I.D. flexible tubing. The goal is to keep that ball moving at a steady, predictable speed because it forms part of a larger device running in an indoor, well-controlled lab setting.

Here is what I expect from you:

• A brief but clear explanation of the flow calculations you use to size the pump, showing how the ball’s mass, tubing diameter, head losses and desired velocity translate into the chosen flow-rate/pressure specs.
• Selection of off-the-shelf components: pump, reservoir or manifold, standard tubing material, and any sensors or valves you feel improve reliability.
• Fully modelled custom fittings and junctions designed specifically for 3-D printing (FDM or SLA), supplied as STEP or STL files ready for print without supports in hard-to-remove places.
• A concise bill of materials that ties everything together, including print material recommendations (e.g., PETG, ABS, resin) and any post-processing notes for watertightness.
• Assembly and commissioning instructions detailed enough that a technician can reproduce your results on the bench, including priming steps, leak testing, and ball-insertion/removal procedures.

Please ground every choice you make in sound fluid-dynamics reasoning so I can follow you from concept through to operation. I’m only reviewing proposals that lay out a clear path to those deliverables and that show you have handled similar closed-loop or low-diameter flow systems before.