2021
DOI: 10.1017/jfm.2021.689
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Dynamics of a viscoelastic thread surrounded by a Newtonian viscous fluid inside a cylindrical tube

Abstract: A viscoelastic thread in vacuum is known to evolve into a beads-on-a-string structure at large deformations. If the thread is immersed in another fluid, the surrounding medium may influence the topological structure of it, which remains unexplored. To get some insights into the nonlinear behaviour of a viscoelastic thread in a two-phase flow system, a one-dimensional model is developed under the slender body approximation, in which the thread of a highly viscoelastic fluid described by the Oldroyd-B or Gieseku… Show more

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Cited by 3 publications
(3 citation statements)
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“…The calculation stops when the dimensionless minimum radius of the thread is less than 0.001. The validity of the code is checked by comparing with the results in Fontelos & Li (2004), Li & He (2021) and Wee et al (2021).…”
Section: Numerical Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The calculation stops when the dimensionless minimum radius of the thread is less than 0.001. The validity of the code is checked by comparing with the results in Fontelos & Li (2004), Li & He (2021) and Wee et al (2021).…”
Section: Numerical Resultsmentioning
confidence: 99%
“…The 1-D equations (3.1)–(3.7) are solved by using an implicit finite difference scheme with adaptive mesh refinement (Li & He 2021). Considering both accuracy and efficiency, the number of spatial discrete points is , and the time step varies between and .…”
Section: Numerical Resultsmentioning
confidence: 99%
“…Presence of the insoluble surfactant invokes surface tension at the interface, then the Marangoni flow will be generated by the gradient of surface tension, which causes the motion of the neighbouring liquids by viscous traction and generates the Marangoni force. As a result, the stability of the flow is determined by two coupled Floquet modes associated with the surface deformation and the Marangoni force (Hu, Fu & Yang 2020; Li & He 2023). The main purpose of this paper is to study the long- and finite-wavelength stability of the single film flow driven by an oscillatory plate.…”
Section: Introductionmentioning
confidence: 99%