Finite element solution of viscous jet flows with surface tension

Reddy, K. Ramakrishna; Tanner, Roger I.

doi:10.1016/0045-7930(78)90009-9

Cited by 68 publications

(29 citation statements)

References 9 publications

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“…One of the first works dealing with the influence of the Reynolds number on the extrudate swell ratio was published by Reddy and Tanner [48]. In that work, the authors used a finite element method to study the variation of jet radius as function of Re, including the effect of surface tension.…”

Section: Extrudate Swell Problem: Influence Of the Xpp Parametersmentioning

confidence: 99%

Three-dimensional transient complex free surface flows: Numerical simulation of XPP fluid

Figueiredo

Oishi

Cuminato

et al. 2013

Journal of Non-Newtonian Fluid Mechanics

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Section: Extrudate Swell Problem: Influence Of the Xpp Parametersmentioning

confidence: 99%

Three-dimensional transient complex free surface flows: Numerical simulation of XPP fluid

Figueiredo

Oishi

Cuminato

et al. 2013

Journal of Non-Newtonian Fluid Mechanics

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“…In a planar #ow, only one principal radius of curvature has to be considered (i. e. R "R), while in a radial #ow, both principal radii of curvature have to be considered [17]. For initially given meshes and velocity "eld, kinematic condition (6) is solved to search for a new free surface position and the interior nodes are rearranged accordingly.…”

Section: Free Surfacementioning

confidence: 99%

Finite element simulation of thin liquid film flow and heat transfer including a hydraulic jump

Sung¹,

Choi²,

Yoo³

1999

Int. J. Numer. Meth. Engng.

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SUMMARYA numerical simulation has been performed to investigate planar and radial #ows of thin liquid "lm subject to constant wall temperature or constant wall heat #ux, considering the surface tension e!ect. To simulate the variation of the "lm height including a hydraulic jump, an Arbitrary Lagrangian}Eulerian (ALE) method is adopted in describing the governing equations. An iterative split algorithm is used to improve the continuity constraint in time marching of the governing equations which are discretized by Streamline Upwind Petrov}Galerkin (SUPG) "nite element method. It has been shown clearly that the surface tension has to be considered in order to describe realistically a hydraulic jump preceded by a capillary ripple. The variation of the "lm height is in good agreement with the existing experimental data. Physical aspects of how the #owrate as well as temperature-dependent #uid properties a!ect the formation of the hydraulic jump and the variation of the Nusselt number are discussed rationally.

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“…10 He showed that, in general, conical constrictions ͑expansions͒ at or near the tube of exit result in a decrease ͑increase͒ of the contraction/expansion ratio. The method was further extended for a higher Reynolds number by Reddy and Tanner,11 and for surface tension effects by Omodei. 12 Concerning Newtonian fluids, the value of the contraction/expansion ratio was found by most of the researchers to be approximately 1.12-1.13 for creeping flow, 13 which is in good agreement with experimental results.…”

Section: Introductionmentioning

confidence: 99%

Steady and transient thin-jet flow

German

Khayat

2005

Physics of Fluids

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The interplay between inertia and gravity is examined in this theoretical study for the steady and transient two-dimensional thin jet flow free of surface tension. The fluid emerges from a channel and is driven by both a pressure gradient maintained inside the channel and/or gravity. The flow is dictated by the thin-film equations of the boundary layer type, which are solved by expanding the flow field in terms of orthonormal modes depthwise, and using the Galerkin projection. The strength of inertia relative to gravity is found to be of crucial significance on the film flow. Transient behavior of the film is closely examined for various flow parameters, initial and exit conditions. It is shown that under a wide range of flow parameters, the steady state cannot be achieved.

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Finite element solution of viscous jet flows with surface tension

Cited by 68 publications

References 9 publications

Three-dimensional transient complex free surface flows: Numerical simulation of XPP fluid

Three-dimensional transient complex free surface flows: Numerical simulation of XPP fluid

Finite element simulation of thin liquid film flow and heat transfer including a hydraulic jump

Steady and transient thin-jet flow

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