Droplet generation is a fundamental fluid dynamic process critical to numerous applications in biomedicine, inkjet printing, food processing, and microfluidic systems. Achieving precious control over this process is important for improving the performance and efficiency of such systems. Compared to Newtonian fluids, viscoelastic fluids exhibit complex rheological behaviors arising from polymer chain entanglement and relaxation effects, which profoundly alter the droplet generation and breakup dynamics. In this study, we introduce a passive control strategy by incorporating a drainage device inside the nozzle to construct a drainage-assisted dripping system. The results show that, within the investigated polymer system, increasing molecular weight is associated with longer filament lengths, larger primary droplet volumes, and extended droplet generation periods. The introduction of the drainage device effectively mitigates these elastic effects by modifying the flow redistribution and upstream boundary conditions prior to breakup, rather than through direct control of elongational stresses. As a result, the filament breakup length is reduced and the generation of satellite droplets is suppressed under the present experimental conditions. Furthermore, the dimensionless length (Ls/L0) and diameter (Ds/D0) of the drainage device are key governing parameters within the investigated parameter range. An increase in Ls/L0 leads to a reduction in the primary droplet volume, filament breakup length, and droplet generation period. In contrast, an increase in Ds/D0 yields a slight decrease in droplet volume and filament length but prolongs the generation period. Notably, polymer solutions with higher elasticity exhibit stronger sensitivity to the geometric parameters of the drainage device under the present conditions. These findings demonstrate that by optimizing the drainage device geometry, elastic control over droplet size and generation frequency can be achieved without altering the fluid viscosity within the investigated system. This work provides new insights into the passive regulation of viscoelastic droplet generation and may offer useful guidance for the design and optimization of microfluidic, inkjet printing, and multiphase flow systems.
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