2020/12/15 by Anupam Pandey, Minkush Kansal, Pandey, Anupam +7 · 2 citations
Engineering · Earth and Planetary Sciences · #Fluid Dynamics and Heat Transfer #Aeolian processes and effects #Geology and Paleoclimatology Research
paper · pdf · doi:10.48550/arxiv.2012.08092
A slender thread of elastic hydrogel is susceptible to a surface instability\nthat is reminiscent of the classical Rayleigh-Plateau instability of liquid\njets. The final, highly nonlinear states that are observed in experiments arise\nfrom a competition between capillarity and large elastic deformations.\nCombining a slender analysis and fully three-dimensional numerical simulations,\nwe present the phase map of all possible morphologies for an unstable\nneo-Hookean cylinder subjected to capillary forces. Interestingly, for softer\ncylinders we find the coexistence of two distinct configurations, namely,\ncylinders-on-a-string and beads-on-a-string. It is shown that for a given set\nof parameters, the final pattern is selected via a dynamical evolution. To\ncapture this, we compute the dispersion relation and determine the\ncharacteristic wavelength of the dynamically selected profiles. The validity of\nthe "slender" results is confirmed via simulations and these results are\nconsistent with experiments on elastic and viscoelastic threads.\n