A continuous 1-D model for the coiling of a weakly viscoelastic jet
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Currently, coiling problems for an elastic rope and viscous jet have been extensively studied, but there are few theoretical studies for modeling of viscoelastic jet coiling. In this paper, we have established a continuous one-dimensional (1-D) model for a weakly viscoelastic jet of Maxwell-type, considering jet radius variation and surface tension. The 1-D model is solved numerically by the continuation method to investigate the effects of relaxation time, the falling height, and the flow rate on the coiling frequency and falling time. The numerical results mainly show that for a weakly viscoelastic jet more frequency wiggles and lower frequencies appear than for the Newtonian flow.
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The project was supported by the National Natural Science Foundation of China (No. 11602102), PhD Programs Foundation of Ludong University (No. LY2012017), Taishan Scholar Research Grant (Grant No. TSHW201502050), and Shangdong Province Young and Middle-Aged Scientists Research Awards Fund (No. BS2014SF016).
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