Three flow regimes of viscous jet falling onto a moving surface

Hlod, A Andriy; Aarts, Act Annemarie; Ven, van de Aaf Fons; Peletier, MA Mark

doi:10.1093/imamat/hxr017

Cited by 11 publications

(8 citation statements)

References 33 publications

(16 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These observations correspond to previous studies on fluid-mechanical sewing machines investigating jet lay-down onto a moving belt, [3,22]. However, for such a gravitational 2d scenario of a jet falling down onto a belt, Hlod et al [11,12,13] motivated the modification of the boundary conditions for the stationary string in the parameter regime where q(0) ≤ 0 holds by an argument about the characteristics in the instationary problem. Omitting the condition for the exit angle at the nozzle made the studies of the viscous-inertial-dominated jet lay-down via the string equations possible.…”

Section: Definition 5 (Inertial and Viscous-inertial Strings)supporting

confidence: 84%

“…But this work goes far beyond the consideration of these 2d scenarios. Extending [2,12] to 3d, it sets the model-framework for the simulation of real rotational spinning processes.…”

Section: Resultsmentioning

confidence: 99%

“…al. [11,12] distinguished between different parameter ranges with associated characteristic jet behavior, the so-called inertial, viscous-inertial and viscous regimes, that they successfully investigated by help of the string equations supplemented with appropriately adapted closure conditions.…”

Section: Introductionmentioning

confidence: 99%

“…By the way, this result answers the thitherto numerical-based discussions in literature. Extending [2,12] to 3d, the paper sets the model-framework for the simulation of industrial rotational spinning processes. This paper is structured as follows.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Arne

Marheineke

Wegener

2011

Math. Models Methods Appl. Sci.

View full text Add to dashboard Cite

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.

show abstract

Section: Definition 5 (Inertial and Viscous-inertial Strings)supporting

confidence: 84%

“…But this work goes far beyond the consideration of these 2d scenarios. Extending [2,12] to 3d, it sets the model-framework for the simulation of real rotational spinning processes.…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Arne

Marheineke

Wegener

2011

Math. Models Methods Appl. Sci.

View full text Add to dashboard Cite

show abstract

“…However, already in the stationary case the applicability of the string model turns out to be restricted to certain parameter ranges [15,16] because of a non-removable singularity that comes from the deduced boundary conditions. These limitations can be overcome by a modification of the boundary conditions, that is, the release of the condition for the jet tangent at the nozzle in favor of an appropriate interface condition, [17][18][19]. This involves two string models that exclusively differ in the closure conditions.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2011

View full text Add to dashboard Cite

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.

show abstract

Free surface lubrication of rotating cylinders by impacting Newtonian liquid jet

Bizjan

Širok

Blagojevič

2021

Lubrication Science

View full text Add to dashboard Cite

Free surface lubrication of rotating cylinders by Newtonian liquid jets was investigated at different impingement positions, jet‐ and circumferential velocities. The interaction between impinging round laminar jet and rotating surface was characterised by high‐speed imaging. Compared to flat surface impingement, the liquid deposition mechanism is more complex and often accompanied by phenomena such as splashing, jet deflection and formation of radial surface stripes. Liquid splashing initially develops in direct deposition regime due to hydraulic jump‐induced droplet shedding, transitioning to lamella instability splash at higher Reynolds numbers. The critical Reynolds number for splash onset is of same order of magnitude as for flat surface impingement and fairly constant at low relative jet impingement angles, but increases exponentially when angle approaches 90°. Liquid film width and thickness were both determined proportional to the square root of the jet/surface velocity ratio, with respective power law models in good agreement with measured values.

show abstract

Three flow regimes of viscous jet falling onto a moving surface

Cited by 11 publications

References 33 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

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

Free surface lubrication of rotating cylinders by impacting Newtonian liquid jet

Contact Info

Product

Resources

About