The trajectory and stability of a spiralling liquid jet: Viscous theory

Decent, Stephen; King, A. C.; Simmons, Mark; Părău, Emilian; Wallwork, I. M.; Gurney, Christopher James; Uddin, Jamal

doi:10.1016/j.apm.2009.03.011

Cited by 55 publications

(67 citation statements)

References 24 publications

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“…The rotational spinning of viscous jets is of interest in many industrial applications, including drawing, tapering and spinning of glass and polymer fibers [14,19], pellet manufacturing [6,18] or jet ink design. In a rotational spinning process, a liquid jet leaves a small spinning nozzle located on the curved face of a circular cylindrical drum that rotates about its symmetry axis (figure 1.1).…”

Section: Introductionmentioning

confidence: 99%

Asymptotic Transition From Cosserat Rod to String Models for Curved Viscous Inertial Jets

Arne

Marheineke

Wegener

2011

Math. Models Methods Appl. Sci.

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This work deals with the modeling and simulation of slender viscous jets exposed to gravity and rotation, as they occur in rotational spinning processes. In terms of slender-body theory, we show the asymptotic reduction of a viscous Cosserat rod to a string system for vanishing slenderness parameter. We propose two string models, i.e. inertial and viscous-inertial string models, that differ in the closure conditions and hence yield a boundary value problem and an interface problem, respectively. We investigate the existence regimes of the string models in the four-parametric space of Froude, Rossby, Reynolds numbers and jet length. The convergence regimes where the respective string solution is the asymptotic limit to the rod turn out to be disjoint and to cover nearly the whole parameter space. We explore the transition hyperplane and derive analytically low and high Reynolds number limits. Numerical studies of the stationary jet behavior for different parameter ranges complete the work.

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Section: Introductionmentioning

confidence: 99%

Asymptotic Transition From Cosserat Rod to String Models for Curved Viscous Inertial Jets

Arne

Marheineke

Wegener

2011

Math. Models Methods Appl. Sci.

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“…Modeling the RJS process involves the use of basic parameters such as polymer viscosity, centrifugal force, Coriolis force, air drag on the fiber and also the evaporation time of a solvent in the collector during spinning. 53 Several publications investigating viscoelastic properties and production methods 163,[186][187][188][189][190][191] provide great insight into the complexity of the RJS process, and will provide useful directions for future RJS models.…”

Section: Modeling the Rotary Jet Spinning Processmentioning

confidence: 99%

Rotary jet spinning review – a potential high yield future for polymer nanofibers

2017

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“…A regularization based on the slenderness parameter δ matches the associated resistance functions r n , r τ (3) to Stokes resistance coefficients of higher order for w n 1, for details see [24].…”

Section: Drag Forces -F Air Vs F Jetsmentioning

confidence: 99%

“…Therefore, we tackle the multiscale problem by help of drag models that are derived on basis of slender-body theory and homogenization, and a weak iterative coupling algorithm. The dynamics of curved viscous inertial jets is of interest in many industrial applications (apart from glass wool manufacturing), for example, in nonwoven production [1,2], pellet manufacturing [3,4] or jet ink design, and has been subject of numerous theoretical, numerical and experimental investigations, see [5] and references within. In the terminology of [6], there are two classes of asymptotic one-dimensional models for a jet, that is, string and rod models.…”

Section: Introductionmentioning

confidence: 99%

Fluid-fiber-interactions in rotational spinning process of glass wool production

et al. 2011

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The optimal design of rotational production processes for glass wool manufacturing poses severe computational challenges to mathematicians, natural scientists and engineers. In this paper we focus exclusively on the spinning regime where thousands of viscous thermal glass jets are formed by fast air streams. Homogeneity and slenderness of the spun fibers are the quality features of the final fabric. Their prediction requires the computation of the fluid-fiber-interactions which involves the solving of a complex three-dimensional multiphase problem with appropriate interface conditions. But this is practically impossible due to the needed high resolution and adaptive grid refinement. Therefore, we propose an asymptotic coupling concept. Treating the glass jets as viscous thermal Cosserat rods, we tackle the multiscale problem by help of momentum (drag) and heat exchange models that are derived on basis of slender-body theory and homogenization. A weak iterative coupling algorithm that is based on the combination of commercial software and self-implemented code for flow and rod solvers, respectively, makes then the simulation of the industrial process possible. For the boundary value problem of the rod we particularly suggest an adapted collocation-continuation method. Consequently, this work establishes a promising basis for future optimization strategies.

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The trajectory and stability of a spiralling liquid jet: Viscous theory

Cited by 55 publications

References 24 publications

Asymptotic Transition From Cosserat Rod to String Models for Curved Viscous Inertial Jets

Asymptotic Transition From Cosserat Rod to String Models for Curved Viscous Inertial Jets

Rotary jet spinning review – a potential high yield future for polymer nanofibers

Fluid-fiber-interactions in rotational spinning process of glass wool production

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