Universal self-scalings in a micro-co-flowing

Experiments are carried out to explored the co-flows in a type of novel tapered rectanglar PMMA micro-channels. Variations geometric parameter combinations bring great complexity systematic descriptions co-flow behaviors. We find that self-scaling processes. Based on theory similitude, self-similarity frame is buildup reduce and dimension problem. Under such frame, universal scaling laws covering all drop-detaching regimes (i.e., slug, dripping, thin jet) derived, concisely persuasively. The droplet length depends flow-rate-ratio gives an exponential nearly 1/2, which featured as typical ′Flow-Rate-Controlled-Flow′. frequency two-phase capillary number 3. Note that, these two formulas valid over differed physical mechanisms. Moreover, most astonishing thing former formula reproduce law jet regime straight circular co-flows, while later one dripping at same time. Such highly consistency scalings were rarely reported before. Furthermore, clusters flow maps can be degenerated into single diagram under our frame. divided naturally by machining learning parts, Pan-dripping Pan-jetting regime, clear bordered Wed≈1 Cac≈0.28. These critical values also consistent with results co-flows. This work greatly facilitate design analysis method devices for manipulation via simple catch range liquid cells.