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We propose the generalization of the thin film equation (TFE) to arbitrarily many immiscible liquid layers. Then, we provide different pathways for deriving the hydrodynamic pressure within the individual layers, showing how to understand…

Fluid Dynamics · Physics 2024-09-26 Tilman Richter , Paolo Malgaretti , Jens Harting

The planar laminar flow resulting from the impingement of two gaseous jets of different density issuing into an open space from aligned steadily fed slot nozzles of semi-width $R$ separated a distance $2H$ is investigated by numerical and…

Fluid Dynamics · Physics 2022-02-15 A. D. Weiss , W. Coenen. A. L. Sánchez

We investigate the dynamics of drop impact on a thin liquid film at short times in order to identify the mechanisms of splashing formation. Using numerical simulations and scaling analysis, we show that the splashing formation depends both…

Fluid Dynamics · Physics 2016-08-24 Christophe Josserand , Pascal Ray , Stéphane Zaleski

The study deals with the breakup behavior of swirling liquid sheets discharging from gas-centered swirl coaxial atomizers with attention focused toward the understanding of the role of central gas jet on the liquid sheet breakup. Cold flow…

Fluid Dynamics · Physics 2024-05-15 V. Kulkarni , D. Sivakumar , C. Oommen , T. J. Tharakan

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume constrained minimizer of the total interfacial energy. The large-scale shape of such a drop strongly depends on the micro-structure of the solid surface.…

Analysis of PDEs · Mathematics 2016-12-22 William M. Feldman , Inwon C. Kim

Magnetic reconnection is an important physical process in various explosive phenomena in the universe. In the previous studies, it was found that fast re- connection takes place when the thickness of a current sheet becomes on the order of…

Solar and Stellar Astrophysics · Physics 2015-07-15 Satoshi Takeshige , Shinsuke Takasao , Kazunari Shibata

A liquid drop impacting a smooth solid substrate splashes by emitting a thin liquid sheet from near the contact line of the spreading liquid. This sheet is lifted from the substrate and ultimately breaks apart. Surprisingly, the splash is…

Soft Condensed Matter · Physics 2016-10-13 Andrzej Latka

We propose a finite element method for the numerical simulation of electroconvection of thin liquid crystals. The liquid is located in between two concentric circular electrodes which are either assumed to be of infinite height or slim.…

Numerical Analysis · Mathematics 2020-01-29 Andrea Bonito , Peng Wei

We present a numerical study of the effect that fluid and particle inertia have on the motion of suspended spherical particles through a geometric constriction to understand analogous microfluidic settings, such as pinched flow…

Fluid Dynamics · Physics 2013-06-20 Sumedh R. Risbud , Mingxiang Luo , Joelle Frechette , German Drazer

We theoretically investigate the apparent contact angle and contact angle hysteresis of a droplet placed on a liquid infused surface. We show that the apparent contact angle is not uniquely defined by material parameters, but also has a…

Soft Condensed Matter · Physics 2016-05-24 Ciro Semprebon , Glen McHale , Halim Kusumaatmaja

In this paper, breakup of liquid jet is simulated using smoothed particle hydrodynamics (SPH) which is a meshless Lagrangian numerical method. For this aim, flow governing equations are discretized based on SPH method. In this paper,…

Fluid Dynamics · Physics 2017-05-24 Majid Pourabdian , Pourya Omidvar , Mohammad Reza Morad

Smoothed particle hydrodynamics (SPH) has been extensively studied in computer graphics to animate fluids with versatile effects. However, SPH still suffers from two numerical difficulties: the particle deficiency problem, which will…

Graphics · Computer Science 2020-01-29 Xiaowei He , Huamin Wang , Guoping Wang , Hongan Wang , Enhua Wu

Particle deposition patterns on the plate of inertial impactor with circular laminar jet are investigated numerically with a Lagrangian solver implemented within the framework of the OpenFOAM$^{\circledR}$ CFD package. Effects of taper…

Fluid Dynamics · Physics 2018-01-19 James Q. Feng

We consider the touchdown of an elastic sheet as it adheres to a wall, which has a dynamics that is limited by the viscous resistance provided by the squeeze flow of the intervening liquid trapped between the two solid surfaces. The…

Fluid Dynamics · Physics 2016-01-20 Andreas Carlson , L. Mahadevan

Dip-coating is a common technique used to cover a solid surface with a thin liquid film, the thickness of which was successfully predicted by the theory developed by Landau & Levich and Derjaguin in the 1940's. In this work, we present an…

We study the deformation and dewetting of liquid films under impinging gas jets using experimental, analytical and numerical techniques. We first derive a reduced-order model (a thin-film equation) based on the long-wave assumption and on…

Fluid Dynamics · Physics 2020-12-02 C. J. Ojiako , R. Cimpeanu , H. Bandulasena , R. Smith , D. Tseluiko

Sub-{\mu}m thin samples are essential for spectroscopic purposes. The development of flat micro-jets enabled novel spectroscopic and scattering methods for investigating molecular systems in the liquid phase. However characterization of the…

Chemical Physics · Physics 2022-02-21 Yi-Ping Chang , Zhong Yin , Tadas Balciunas , Hans Jakob Worner , Jean-Pierre Wolf

The present work develops a compressible VOF-LPT coupled solver in OpenFOAM and utilizes it to simulate a LJICF numerically. This methodology helps accurately predict a complex primary breakup in the Eulerian framework and the secondary…

Fluid Dynamics · Physics 2023-01-10 Bharat Bhatia , Tom Johny , Ashoke De

This paper studies adaptive least-squares finite element methods for convection-dominated diffusion-reaction problems. The least-squares methods are based on the first-order system of the primal and dual variables with various ways of…

Numerical Analysis · Mathematics 2023-01-30 Zhiqiang Cai , Binghe Chen , Jing Yang

The dissipation of energy in the impingement zone from the collision of impinging, free, equal jets of liquids was investigated by comparison with studies on the energy dissipation from the collision of impinging, free, equal sheets of…

Fluid Dynamics · Physics 2025-03-21 Robert Demyanovich