Asymptotic model for the dynamics of curved viscous fibres with surface tension
Marheineke N, Wegener R (2009)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2009
Journal
Publisher: Cambridge University Press (CUP)
Book Volume: 622
Pages Range: 345-369
DOI: 10.1017/S0022112008005259
Abstract
In this paper, we derive and investigate an asymptotic model for the dynamics of curved viscous inertial Newtonian fibres subjected to surface tension, as they occur in rotational spinning processes. Accordingly, we extend the slender body theory of Panda, Marheineke & Wegener (Math. Meth. Appl. Sci., vol. 31, 2008, p. 1153) by including surface tension and deducing boundary conditions for the free end of the fibre. The asymptotic model accounts for the inner viscous transport and places no restrictions on either the motion or the shape of the fibre centreline. Depending on the capillary number, the boundary conditions yield an explicit description for the temporal evolution of the fibre end. We study numerically the behaviour of the fibre as a function of the effects of viscosity, gravity, rotation and surface tension. © 2009 Cambridge University Press.
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Germany (DE)How to cite
APA:
Marheineke, N., & Wegener, R. (2009). Asymptotic model for the dynamics of curved viscous fibres with surface tension. Journal of Fluid Mechanics, 622, 345-369. https://dx.doi.org/10.1017/S0022112008005259
MLA:
Marheineke, Nicole, and Raimund Wegener. "Asymptotic model for the dynamics of curved viscous fibres with surface tension." Journal of Fluid Mechanics 622 (2009): 345-369.
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