Calculation of droplet deformationby surface tension effects usingthe level set method

Balabel, Ashraf; Binninger, B.; Herrmann, Marcus; Peters, Norbert

doi:10.1080/713712952

Cited by 13 publications

(3 citation statements)

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“…Surface tension plays a critical role in the droplet formation [30]. In these previous studies, the surface tension was straightly imposed on the free interface as a boundary value condition [37]. Unfortunately, this modeling mode may induce surface tension distortion when dealing with complex topological changes at the free interface.…”

Section: Basic Governing Equationmentioning

confidence: 99%

Numerical investigation of highly viscous droplet generation based on level set method

Zhang,

Tao,

Ling

2023

Phys. Scr.

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Piezo-driven needle valves are widely used in electronic packaging due to their fast response, high resolution and good dispensing consistency. However, the stable generation of high-viscosity droplets is one of the key issues to its packaging quality. To investigate the formation mechanism of the high-viscosity droplet. In this paper, a 2D finite element model of the drop-on-demand injection process of the high-viscosity droplet is established based on the level set method, the droplet formation and separation processes are numerically simulated, and the reliability of the simulation results is checked by comparing the outcomes with published data. Specifically, the detailed evolution of the high-viscosity droplet formation and separation process is gained by coupling the two-phase flow-level set method and the dynamic grid technique, and the pressure distribution in the injection chamber is further discussed and the effects of operating parameters on the droplet formation volume are examined. The results of the study show that the needle motion is the main factor of pressure fluctuations in the injection chamber. Moreover, we also found that among the parameters of needle stroke, nozzle diameter, supply pressure, fluid viscosity, and surface tension, the nozzle diameter has the most significant effect on droplet volume, while surface tension has the least effect on droplet formation.

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Section: Basic Governing Equationmentioning

confidence: 99%

Numerical investigation of highly viscous droplet generation based on level set method

Zhang,

Tao,

Ling

2023

Phys. Scr.

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“…These values are used as boundary conditions for the pressure Poisson equation. More details about the numerical algorithm and the interpolation technique can be found in [ 21,23].…”

Section: Numerical Proceduresmentioning

confidence: 99%

Numerical Modeling of the Interfacial Instability in Two-Phase Flows Considering Buoyancy and Capillary Phenomena

Balabel

Hegab

2007

International Conference on Aerospace Sciences and Aviation Tec

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The overall objective of the present paper is to develop an accurate and robust numerical modeling of the instability of an interface separating two fluids (liquid-gas) due to buoyancy and capillary effects. The governing unsteady Navier-Stokes along with the stress balance and kinematic conditions at the interface are solved separately in each fluid using the finite-volume approach. The present numerical model interprets the surface and the body forces as a boundary value conditions on the interface. Thus enables accurate modeling of fluid flows driven by either body or surface forces. The position of the interface is captured implicitly on the Eulerian grid by the zero level set function, while appropriate interpolations at the interface are used to enforce the associated jump conditions. To asses the developed numerical model and its versatility, a selection of different unsteady tests are examined: oscillation of a capillary wave, sloshing in a rectangular tank, and the broken-dam problem involving different density fluids. The computational results demonstrate a remarkable capability of the developed numerical model to predict the dynamical characteristics of the two-phase flows, which is of great importance in many industrial and engineering applications.

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“…The level set function is usually evolved by a simple Eulerian scheme and, consequently, the final implementation of LSM does not provide full volume conservation, so highly accurate transport schemes are required. In our previous work [19], a new technique for solving the level set equation has been developed and validated by performing a number of challenge test cases.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of droplet coalescence in turbulent stream using level set method

Balabel¹

2013

IJEM

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In the present paper a novel numerical method for solving the problem of two-phase flow with moving interfaces in both laminar and turbulent flow regimes is developed. The developed numerical method is based on the solution of the Reynolds-Averaged Navier Stokes equations in both phases separately with appropriate boundary conditions located at the interface separating the two fluids. The solution algorithm is performed on a regular and structured two-dimensional computational grid using the control volume approach. The complex shapes as well as the geometrical quantities of the interface are determined via the level set method. The numerical method is firstly validated against the prediction of the well known flow dynamics over a circular cylinder. Further, the numerical simulation of two colliding droplets in gas flow is numerically predicted showing the important dynamics associated with the different flow regimes considered. The remarkable capability of the developed numerical method in predicting turbulent two-phase flow dynamics enables us to predict further a wide range of two-phase flow industrial and engineering applications.

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Calculation of droplet deformationby surface tension effects usingthe level set method

Cited by 13 publications

References 0 publications

Numerical investigation of highly viscous droplet generation based on level set method

Numerical investigation of highly viscous droplet generation based on level set method

Numerical Modeling of the Interfacial Instability in Two-Phase Flows Considering Buoyancy and Capillary Phenomena

Numerical simulation of droplet coalescence in turbulent stream using level set method

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