Self-scalings of bubble pinch-off and inner jet emitting in a tapered co-flow
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| Format: | Preprint |
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2025
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| _version_ | 1866916735425183744 |
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| author | Ruan, B. J. Wang, Z. L. |
| author_facet | Ruan, B. J. Wang, Z. L. |
| contents | This study systematically investigates the formation mechanisms and scaling laws governing sub-millimeter bubble-jet generation in convergent coaxial microchannels. Experimental observations reveal four distinct evolutionary stages in monodisperse bubble formation: growth, necking, detachment, and stabilization. Through necking rupture dynamics modeling, we demonstrate that the coupled effects of nozzle insertion length ($x$) and convergence angle ($α$) dominate neck width evolution, exhibiting universal power-law scaling across geometric configurations. Crucially, the spatiotemporal evolution of necking interfaces under shear demonstrates self-similarity: temporal evolution follows a power-law decay with respect to remaining time ($T-t$), while spatial scaling correlates with characteristic dimension $W_\text{local}$ through power-law relationships. Multi-stage mathematical models successfully describe this self-similar interfacial behavior, confirming their predictive validity. Furthermore, we identify the core mechanism of bubble-jet formation as dynamic modulation through convergent zone flow fields characterized by front-end stretching and rear-end squeezing interactions. Experimental validation shows consistent jet velocity evolution across flow regimes under multiphysics coupling, establishing geometric similarity principles governing flow structures and dynamic behaviors in convergent microchannel architectures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08713 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-scalings of bubble pinch-off and inner jet emitting in a tapered co-flow Ruan, B. J. Wang, Z. L. Fluid Dynamics This study systematically investigates the formation mechanisms and scaling laws governing sub-millimeter bubble-jet generation in convergent coaxial microchannels. Experimental observations reveal four distinct evolutionary stages in monodisperse bubble formation: growth, necking, detachment, and stabilization. Through necking rupture dynamics modeling, we demonstrate that the coupled effects of nozzle insertion length ($x$) and convergence angle ($α$) dominate neck width evolution, exhibiting universal power-law scaling across geometric configurations. Crucially, the spatiotemporal evolution of necking interfaces under shear demonstrates self-similarity: temporal evolution follows a power-law decay with respect to remaining time ($T-t$), while spatial scaling correlates with characteristic dimension $W_\text{local}$ through power-law relationships. Multi-stage mathematical models successfully describe this self-similar interfacial behavior, confirming their predictive validity. Furthermore, we identify the core mechanism of bubble-jet formation as dynamic modulation through convergent zone flow fields characterized by front-end stretching and rear-end squeezing interactions. Experimental validation shows consistent jet velocity evolution across flow regimes under multiphysics coupling, establishing geometric similarity principles governing flow structures and dynamic behaviors in convergent microchannel architectures. |
| title | Self-scalings of bubble pinch-off and inner jet emitting in a tapered co-flow |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2505.08713 |