Sub-Newtonian coalescence in polymeric fluids.
basic_science · Level V
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- Record sourced from PubMed, PMID 37325814.
- Also identified by DOI 10.1039/d3sm00069a.
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Abstract
We present a theoretical framework for capturing the coalescence of a pendant drop with a sessile drop in polymeric fluids. The framework is based on the unification of various constitutive laws under a high Weissenberg creeping flow limit. Our results suggest that the phenomenon comes under a new regime, namely, the sub-Newtonian regime followed by the limiting case of arrested coalescence with the arrest angle <i>θ</i><sub>arrest</sub> ∝ Ec-1/2-1, where Ec<sub>-1</sub> is the inverse of Elasto-capillary number. Furthermore, we propose a new time scale <i>T</i>* integrating the continuum variable Ec<sub>-1</sub> and the macromolecular parameter <i>N</i><sub>e</sub>, the entanglement density to describe the liquid neck evolution. Finally, we validate the framework with high-speed imaging experiments performed across different molecular weights of poly(ethylene oxide) (PEO).