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Journal articles on the topic 'Equation of formation of liquid films'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Gorla, Madhu Sudan Reddy, and Rama Subba Reddy Gorla. "Nonlinear Theory of Tear Film Rupture." Journal of Biomechanical Engineering 122, no. 5 (2000): 498–503. http://dx.doi.org/10.1115/1.1289997.

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Nonlinear thin film rupture has been analyzed by investigating the stability of tear films to finite amplitude disturbances. The dynamics of the liquid film is formulated using the Navier–Stokes equations, including a body force term due to van der Waals attractions. The governing equation was solved by the finite difference method as part of an initial value problem for spatial periodic boundary conditions. The rupture of the tear film covering the cornea and the formation of dry spots is an important phenomenon in various pathological states associated with a dry eye. [S0148-0731(00)00605-1]

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2

WEISS, DANIEL A., and ALEXANDER L. YARIN. "Single drop impact onto liquid films: neck distortion, jetting, tiny bubble entrainment, and crown formation." Journal of Fluid Mechanics 385 (April 25, 1999): 229–54. http://dx.doi.org/10.1017/s002211209800411x.

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Single drop impact onto liquid films is simulated numerically. Surface tension and gravity are taken into account, whereas viscosity and compressibility are neglected. This permits recourse to a boundary-integral method, based on an integral equation for a scalar velocity potential. Calculations are performed for normal impacts resulting in axisymmetric flows.For times that are small compared to the characteristic time of impact 2R/w0 (R being the drop radius, w0 its initial velocity towards the liquid film), it is found that a disk-like jet forms at the neck between the drop and the pre-exist

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3

A. Kuibin, Pavel, and Oleg V. Sharypov. "Vortex Generation in a Thin Liquid Layer under the Effect of Moving Heater." Siberian Journal of Physics 3, no. 2 (2008): 40–46. http://dx.doi.org/10.54362/1818-7919-2008-3-2-40-46.

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An effect of moving local heater on the flow structure in a thin liquid layer on horizontal substrate is analyzed. The 2-D problem is considered under boundary layer approximation. For the case of small Reynolds numbers the steadystate equation is derived for description of the liquid film deformation in the accompanying frame of reference. The obtained equation can be applied in particular at horizontal substrate orientation. The results of simulations of the film thickness, pressure and liquid velocity at a given model temperature distribution on a free surface are presented. The dependencie

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4

McHugh, J. P., and D. Barkey. "Nonlinear evolution of a thin anodic film." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2202 (2017): 20160930. http://dx.doi.org/10.1098/rspa.2016.0930.

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The formation of pores in anodic aluminium oxide films is treated with a model equation. The model treats the oxide layer as a thin viscous liquid in two dimensions. Surface tension on the top boundary, electrostriction due to the external electric field and mass flow through the bottom boundary due to oxide formation are all included. Viscous flow is treated with the creeping flow assumption. The model equation is solved numerically using a Fourier spectral method in space and Adams–Bashforth/Adams–Moulton methods in time. Initial conditions include sinusoidal shapes as well as random shapes.

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5

Jeong, Chan Ho, Kwangu Kang, Ui-Joon Park, et al. "Numerical Investigation on the Evolution of Thin Liquid Layer and Dynamic Behavior of an Electro-Thermal Drilling Probe during Close-Contact Heat Transfer." Applied Sciences 11, no. 8 (2021): 3443. http://dx.doi.org/10.3390/app11083443.

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This study investigates the transient behavior of an electro-thermal drilling probe (ETDP) during a close-contact melting process within a glacier. In particular, the present work analyzes the effect of the tip temperature on the formation of molten thin liquid films and the subsequent rate of penetration (ROP) through numerical simulation. We used the commercial code of ANSYS Fluent (v.17.2) to solve the Reynolds-averaged Navier–Stokes equation, together with an energy equation considering the solidification and melting model. The ROP of the drilling probe is determined based on the energy ba

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6

Camporeale, Carlo. "An asymptotic approach to the crenulation instability." Journal of Fluid Mechanics 826 (August 9, 2017): 636–52. http://dx.doi.org/10.1017/jfm.2017.454.

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A novel linear stability analysis for the pattern formation of ripple-like corrugations, over the surface of stalactites due to calcite-laden falling films, is presented by using a modified version of the gradient expansion technique. A fully analytical theory combining thin film hydrodynamics, Kármán–Pohlhausen solution of the advection–diffusion equation for calcium concentration and an evolution equation for the shape of the liquid–solid interface is developed. Analytical formulas for the selected wavelength and the corresponding phase velocity are provided, which match previous numerical s

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7

Shen, Mingguang, and Ben Q. Li. "Phase Field Modeling of Air Entrapment in Binary Droplet Impact with Solidification Microstructure Formation." Coatings 12, no. 12 (2022): 1990. http://dx.doi.org/10.3390/coatings12121990.

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A novel numerical model was developed to investigate air entrapment in binary droplet impact with solidification microstructure formation under practical plasma spraying conditions. The evolving liquid–gas interface was tracked by the explicit finite difference solution to the Cahn–Hilliard equation, coupled with the Navier–Stokes equations. Another diffuse interface model was invoked to trace solid–liquid and grain–grain boundaries. The model was discretized using an explicit finite difference method on a half-staggered grid. The velocity pressure coupling was decoupled with the projection me

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8

Peschka, Dirk, Sabrina Haefner, Ludovic Marquant, Karin Jacobs, Andreas Münch, and Barbara Wagner. "Signatures of slip in dewetting polymer films." Proceedings of the National Academy of Sciences 116, no. 19 (2019): 9275–84. http://dx.doi.org/10.1073/pnas.1820487116.

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Thin polymer films on hydrophobic substrates are susceptible to rupture and hole formation. This, in turn, initiates a complex dewetting process, which ultimately leads to characteristic droplet patterns. Experimental and theoretical studies suggest that the type of droplet pattern depends on the specific interfacial condition between the polymer and the substrate. Predicting the morphological evolution over long timescales and on the different length scales involved is a major computational challenge. In this study, a highly adaptive numerical scheme is presented, which allows for following t

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9

Muravsky, Alexander A., та Veranika Yu Stanevich. "Liquid crystalʼs photoalignment for formation of phase profiles via geometric phase distribution". Journal of the Belarusian State University. Physics, № 3 (26 вересня 2022): 10–25. http://dx.doi.org/10.33581/2520-2243-2022-3-10-25.

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Basic understandings on the concept of geometric phase, also known as Pancharatnam – Berry phase, and its application to creation of photonic liquid crystal devices as thin-films of photoaligned nematic liquid crystals are presented. The significance of the strong azimuthal anchoring energy and the role of birefringence in liquid crystal photoalignment layer for formation of geometric phase gradients are shown. The dependence of phase retardation of circular polarised light passing through the half-wave phase plate on the azimuthal angle of the plate orientation is explained in details, as it

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10

Conde-Gallardo, A., M. Guerrero, R. Fragoso, and N. Castillo. "Gas-phase diffusion and surface reaction as limiting mechanisms in the aerosol-assisted chemical vapor deposition of TiO2 films from titanium diisopropoxide." Journal of Materials Research 21, no. 12 (2006): 3205–9. http://dx.doi.org/10.1557/jmr.2006.0391.

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Titanium dioxide thin films were deposited on crystalline silicon (100) substrates by delivering a liquid aerosol of titanium-diisopropoxide. The evidence of a metalorganic chemical vapor deposition process observed in the crystalline and morphological features of the films is strongly supported by the behavior of the growth rate rg as a function of the deposition temperature. The rg line shape indicates that in a wide range of temperatures (∼180–400 °C), the film formation is limited by both gas-phase diffusion of some molecular species toward the substrate surface and the thermal reaction of

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11

Silva, F. O., I. R. Siqueira, M. S. Carvalho, and R. L. Thompson. "Slot coating flows with a Boussinesq–Scriven viscous interface." Physics of Fluids 35, no. 4 (2023): 042106. http://dx.doi.org/10.1063/5.0147030.

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We present a computational study of free surface flows with rheologically complex interfaces in the film formation region of a slot coater. The equations of motion for incompressible Newtonian liquids in the bulk flow are coupled with the Boussinesq–Scriven constitutive equation for viscous interfaces in the dynamic boundary condition at the liquid-air free surface and solved with a mixed finite element method. We show that the interfacial viscosity plays a major role in the flow dynamics and operating limits of slot coating. We find that the interfacial viscosity makes viscous interfaces gene

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12

Wasan, Darsh T., and Alex D. Nikolov. "Foams and Emulsions: the Importance of Structural Forces." Australian Journal of Chemistry 60, no. 9 (2007): 633. http://dx.doi.org/10.1071/ch07180.

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We present a brief summary of the salient findings of our recent research delivered as a keynote lecture at the Australian Conference on Colloid and Interface Science held in Sydney in February 2007. We have developed a hybrid surface force apparatus (thin film capillary force balance) in conjunction with differential interference microscopy to show the phenomenon of microstructuring or stratification in thin films containing surfactant micelles, proteins, and nanoparticles separating two bubbles or droplets, as in foam and emulsion systems. The structural disjoining pressure, i.e. the structu

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13

Camassa, Roberto, H. Reed Ogrosky, and Jeffrey Olander. "Viscous film flow coating the interior of a vertical tube. Part 1. Gravity-driven flow." Journal of Fluid Mechanics 745 (March 25, 2014): 682–715. http://dx.doi.org/10.1017/jfm.2014.90.

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AbstractThe gravity-driven flow of a viscous liquid film coating the inside of a tube is studied both theoretically and experimentally. As the film moves downward, small perturbations to the free surface grow due to surface tension effects and can form liquid plugs. A first-principles strongly nonlinear model based on long-wave asymptotics is developed to provide simplified governing equations for the motion of the film flow. Linear stability analysis on the basic solution of the model predicts the speed and wavelength of the most unstable mode, and whether the film is convectively or absolute

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14

Ghanekarade, Asieh, Anh D. Phan, Kenneth S. Schweizer, and David S. Simmons. "Nature of dynamic gradients, glass formation, and collective effects in ultrathin freestanding films." Proceedings of the National Academy of Sciences 118, no. 31 (2021): e2104398118. http://dx.doi.org/10.1073/pnas.2104398118.

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Molecular, polymeric, colloidal, and other classes of liquids can exhibit very large, spatially heterogeneous alterations of their dynamics and glass transition temperature when confined to nanoscale domains. Considerable progress has been made in understanding the related problem of near-interface relaxation and diffusion in thick films. However, the origin of “nanoconfinement effects” on the glassy dynamics of thin films, where gradients from different interfaces interact and genuine collective finite size effects may emerge, remains a longstanding open question. Here, we combine molecular d

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15

Bhatt, V. K., and D. K. Sengupta. "Analysis of Thermal Effects in the Yield Phase of Hydrodynamic Lubricant Film in Plane Strain Forging." Journal of Tribology 118, no. 4 (1996): 880–85. http://dx.doi.org/10.1115/1.2831622.

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A thermal Reynolds equation, which takes into account viscosity variation across the lubricant film thickness due to shear energy dissipation within the film, has been developed. It also takes into account the effect of conduction and convection on heat transfer in the lubricant film. It indicates that the pressure gradients developed in a no-slip lubricated contact are increased with an increase in Peclet number. The use of the equation is illustrated by applying it in the film formation process in the yield phase of liquid lubricated plane strain forging. The analysis indicates that the Pecl

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16

ROISMAN, I. V., and C. TROPEA. "Impact of a drop onto a wetted wall: description of crown formation and propagation." Journal of Fluid Mechanics 472 (November 30, 2002): 373–97. http://dx.doi.org/10.1017/s0022112002002434.

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The impact of a drop onto a liquid film with a relatively high impact velocity, leading to the formation of a crown-like ejection, is studied theoretically. The motion of a kinematic discontinuity in the liquid film on the wall due to the drop impact, the formation of the upward jet at this kinematic discontinuity and its elevation are analysed. Four main regions of the drop and film are considered: the perturbed liquid film on the wall inside the crown, the unperturbed liquid film on the wall outside the crown, the upward jet forming a crown, and the free rim bounding this jet. The theory of

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17

Avdeenkov, Alexandr V., Oleg I. Achakovsky, Vladimir V. Ketlerov, Vladimir Ya. Kumaev, and Alexander I. Orlov. "Basic models and approximation for the engineering description of the kinetics of the oxide layer of steel in a flow of heavy liquid metal coolant under various oxygen conditions." Nuclear Energy and Technology 6, no. (3) (2020): 215–34. https://doi.org/10.3897/nucet.6.59068.

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The article presents the results of corrosion processes, kinetics and changes in the oxide layer modeling using MASKA-LM software complex. The complex is intended for a numerical simulation of three-dimensional non-stationary processes of mass transfer and interaction of impurity components in a heavy liquid metal coolant (HLMC: lead, lead-bismuth). The software complex is based on the numerical solution of coupled three-dimensional equations of hydrodynamics, heat transfer, formation and convective-diffusive transport of chemically interacting components of impurities. Examples of calculation

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18

Avdeenkov, Alexandr V., Oleg I. Achakovsky, Vladimir V. Ketlerov, Vladimir Ya Kumaev, and Alexander I. Orlov. "Basic models and approximation for the engineering description of the kinetics of the oxide layer of steel in a flow of heavy liquid metal coolant under various oxygen conditions." Nuclear Energy and Technology 6, no. 3 (2020): 215–34. http://dx.doi.org/10.3897/nucet.6.59068.

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The article presents the results of corrosion processes, kinetics and changes in the oxide layer modeling using MASKA-LM software complex. The complex is intended for a numerical simulation of three-dimensional non-stationary processes of mass transfer and interaction of impurity components in a heavy liquid metal coolant (HLMC: lead, lead-bismuth). The software complex is based on the numerical solution of coupled three-dimensional equations of hydrodynamics, heat transfer, formation and convective-diffusive transport of chemically interacting components of impurities. Examples of calculation

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19

Halpern, D., and J. B. Grotberg. "Surfactant Effects on Fluid-Elastic Instabilities of Liquid-Lined Flexible Tubes: A Model of Airway Closure." Journal of Biomechanical Engineering 115, no. 3 (1993): 271–77. http://dx.doi.org/10.1115/1.2895486.

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A theoretical analysis is presented predicting the closure of small airways in the region of the terminal and respiratory bronchioles. The airways are modelled as thin elastic tubes, coated on the inside with a thin viscous liquid lining. This model produces closure by a coupled capillary-elastic instability leading to liquid bridge formation, wall collapse or a combination of both. Nonlinear evolution equations for the film thickness, wall position and surfactant concentration are derived using an extended version of lubrication theory for thin liquid films. The positions of the air-liquid an

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20

Halpern, David, and Hsien-Hung Wei. "Slip-enhanced drop formation in a liquid falling down a vertical fibre." Journal of Fluid Mechanics 820 (May 2, 2017): 42–60. http://dx.doi.org/10.1017/jfm.2017.202.

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For a liquid film falling down along a vertical fibre, classical theory (Kalliadasis & Chang J. Fluid Mech., vol. 261, 1994, pp. 135–168; Yu & Hinch J. Fluid Mech., vol. 737, 2013, pp. 232–248) showed that drop formation can occur due to capillary instability when the Bond number $G=\unicode[STIX]{x1D70C}ga^{3}/\unicode[STIX]{x1D6FE}h_{0}$ is below the critical value $G_{c}\approx 0.60$, where $\unicode[STIX]{x1D70C}$ is the fluid density, $g$ is the gravitational acceleration, $a$ is the fibre radius, $\unicode[STIX]{x1D6FE}$ is the surface tension and $h_{0}$ is the unperturbed film

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21

Nakahara, T., T. Makino, and K. Kyogoku. "Observations of Liquid Droplet Behavior and Oil Film Formation in O/W Type Emulsion Lubrication." Journal of Tribology 110, no. 2 (1988): 348–53. http://dx.doi.org/10.1115/1.3261630.

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The behavior of liquid droplets in O/W type emulsions flowing between a flat glass plate and a metal roller was observed by means of a microscope. The behavior of the droplets introduced into the EHL film was found to be related to the streamlines of the continuous water phase in the vicinity of the inlet zone. It was observed that the oil droplets which penetrated into the EHL zone formed an oily pool (an oily film zone) containing water droplets in the inlet zone close to the EHL zone. This oily pool was a W/O emulsion rich in oil caused by phase inversion. The effects of oil concentration,

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22

Blyth, M. G., D. Tseluiko, T. S. Lin, and S. Kalliadasis. "Two-dimensional pulse dynamics and the formation of bound states on electrified falling films." Journal of Fluid Mechanics 855 (September 14, 2018): 210–35. http://dx.doi.org/10.1017/jfm.2018.592.

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The flow of an electrified liquid film down an inclined plane wall is investigated with the focus on coherent structures in the form of travelling waves on the film surface, in particular, single-hump solitary pulses and their interactions. The flow structures are analysed first using a long-wave model, which is valid in the presence of weak inertia, and second using the Stokes equations. For obtuse angles, gravity is destabilising and solitary pulses exist even in the absence of an electric field. For acute angles, spatially non-uniform solutions exist only beyond a critical value of the elec

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23

Westover, Andrew S., Ritu Sahore, Erik Herbert, Wan-Yu Tsai, Robert L. Sacci, and Sergiy Kalnaus. "The Impact of Li Surface Heterogeneity and Morphology on Performance in Solid-State Batteries." ECS Meeting Abstracts MA2023-01, no. 6 (2023): 1048. http://dx.doi.org/10.1149/ma2023-0161048mtgabs.

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Solid-state Li metal batteries have the potential to enable both fast charging and more than a 30% increase in energy density. Two of the most pervasive and limiting challenges in these materials are the interface between the Li metal and the solid electrolyte and the formation of Li filaments that penetrate the solid electrolyte leading to cell shorting. Currently, most efforts to solve these problems are focused on solid electrolytes. Here we present our work investigating the Li side of the equation. This work compares four thin Li sources (<40 µm), three rolled Li from commercial suppli

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24

Espín, Leonardo, and Satish Kumar. "Forced spreading of films and droplets of colloidal suspensions." Journal of Fluid Mechanics 742 (February 21, 2014): 495–519. http://dx.doi.org/10.1017/jfm.2014.27.

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AbstractWhen a thin film of a colloidal suspension flows over a substrate, uneven distribution of the suspended particles can lead to an uneven coating. Motivated by this phenomenon, we analyse the flow of perfectly wetting films and droplets of colloidal suspensions down an inclined plane. Lubrication theory and the rapid-vertical-diffusion approximation are used to derive a coupled pair of one-dimensional partial differential equations describing the evolution of the interface height and particle concentration. Precursor films are assumed to be present, the colloidal particles are taken to b

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25

Killion, Jesse D., and Srinivas Garimella. "Simulation of Pendant Droplets and Falling Films in Horizontal Tube Absorbers." Journal of Heat Transfer 126, no. 6 (2004): 1003–13. http://dx.doi.org/10.1115/1.1833364.

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Recent literature suggests that the droplets that form in horizontal-tube, falling-film absorbers play a major role in the absorption process. The performance of such absorbers is critical to the performance of many absorption heat pump systems. The simulation of droplets of aqueous Lithium Bromide pendant from horizontal tubes was performed by numerically solving the equations of motion on a fixed three-dimensional (3D) grid. The so-called volume of fluid method was used to handle the interface between the liquid and vapor phase. Results are compared with simplified axisymmetric models and wi

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26

Alizadeh Pahlavan, A., L. Cueto-Felgueroso, A. E. Hosoi, G. H. McKinley, and R. Juanes. "Thin films in partial wetting: stability, dewetting and coarsening." Journal of Fluid Mechanics 845 (April 27, 2018): 642–81. http://dx.doi.org/10.1017/jfm.2018.255.

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A uniform nanometric thin liquid film on a solid substrate can become unstable due to the action of van der Waals (vdW) forces. The instability leads to dewetting of the uniform film and the formation of drops. To minimize the total free energy of the system, these drops coarsen over time until one single drop remains. Here, using a thermodynamically consistent framework, we derive a new model for thin films in partial wetting with a free energy that resembles the Cahn–Hilliard form with a height-dependent surface tension that leads to a generalized disjoining pressure, and revisit the dewetti

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27

Maraschky, Adam M., Ruwani Wasalathanthri, and Rohan Akolkar. "(Invited) Dendrite Formation in Lithium Electrodeposition – Insights from Experiments and Modeling." ECS Meeting Abstracts MA2023-01, no. 25 (2023): 1644. http://dx.doi.org/10.1149/ma2023-01251644mtgabs.

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High-energy density batteries are essential for powering future electric vehicles and electric aircrafts. The Li-metal anode offers the highest theoretical specific energy among practically available anode materials; however, a major hurdle in the progress towards rechargeable Li-metal batteries is the dendritic electrodeposition of Li metal during the battery charging process. The physicochemical mechanisms behind Li dendrite formation have been a topic of rich and fervent research, but many questions remain presently unanswered. Among these, a key question of significance to battery charging

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28

Yadav, Dhananjay, Mukesh Awasthi, Ashwani Kumar, and Nitesh Dutt. "Swirling Capillary Instability of Rivlin–Ericksen Liquid with Heat Transfer and Axial Electric Field." Physics 6, no. 2 (2024): 828–44. http://dx.doi.org/10.3390/physics6020051.

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The mutual influences of the electric field, rotation, and heat transmission find applications in controlled drug delivery systems, precise microfluidic manipulation, and advanced materials’ processing techniques due to their ability to tailor fluid behavior and surface morphology with enhanced precision and efficiency. Capillary instability has widespread relevance in various natural and industrial processes, ranging from the breakup of liquid jets and the formation of droplets in inkjet printing to the dynamics of thin liquid films and the behavior of liquid bridges in microgravity environme

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Schwellberger Barbosa, Martin, Ranilson Angelo da Silva, and Marcelo O. Orlandi. "Reversible Intercalation of Protons in Tungsten Oxide Films for Multi-Transduction Sensor Applications." ECS Meeting Abstracts MA2023-01, no. 52 (2023): 2613. http://dx.doi.org/10.1149/ma2023-01522613mtgabs.

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Tungsten oxide films under electrochemical bias, can form tungsten oxide bronzes (MxWO3 with M being small cations such as H+ or Li+) featuring high electronic conductivity and change in coloration to deep blue1. This doping process occurs through the reduction of W6+, as described by the following equation: WO3 + x H+ + xe- -> HxWO3 The bronze phase can also be formed through exposure of tungsten oxide to H2 at high temperatures (> 200 oC) or in presence of catalysts2, as described by the following equation: WO3 + x/2 H2 -> HxWO3 Because of the significant changes in both optical and

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Zhu, Chengxiang, Chunling Zhu, and Tao Guo. "Multi-Zone Ice Accretion and Roughness Models for Aircraft Icing Numerical Simulation." Advances in Applied Mathematics and Mechanics 8, no. 5 (2016): 737–56. http://dx.doi.org/10.4208/aamm.2015.m1175.

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AbstractA mathematical multi-zone ice accretion model used in the numerical simulation of icing on airfoil surface based on three water states, namely, continuous film, rivulets and beads is studied in this paper. An improved multi-zone roughness model is proposed. According to the flow state of liquid water and film flow, rivulets flow governing equations are established to calculate film mass distribution, film velocity, rivulet wetness factor and rivulet mass distribution. Force equilibrium equations of droplet are used to establish the critical conditions of water film broken into rivulets

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Kim, Kyeong-Min, Hye-Eun Jeong, Ye-Seon Jeong, et al. "Effect of ERNiFeCr-2 Filler Metal on Solidification Cracking Susceptibility of CM247LC Superalloy Welds." Korean Journal of Metals and Materials 59, no. 10 (2021): 698–708. http://dx.doi.org/10.3365/kjmm.2021.59.10.710.

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The metallurgical aspects of weld solidification cracking in Ni-based superalloys (with Ti+Al > 5 mass%) have not been widely investigated thus far. Herein, the solidification cracking susceptibility of the CM247LC superalloy and its welds with ERNiFeCr-2 filler wire was quantitatively evaluated using a novel modified Varestraint testing method, for the successful manufacturing of CM247LC superalloy gas turbine blades. It was found that the solidification brittle temperature range (BTR) of the CM247LC superalloy was 400 K. This measurement was obtained with a high-speed thermo-vision camera

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Kim, Kyeong-Min, Hye-Eun Jeong, Ye-Seon Jeong, et al. "Effect of ERNiFeCr-2 Filler Metal on Solidification Cracking Susceptibility of CM247LC Superalloy Welds." Korean Journal of Metals and Materials 59, no. 10 (2021): 698–708. http://dx.doi.org/10.3365/kjmm.2021.59.10.698.

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The metallurgical aspects of weld solidification cracking in Ni-based superalloys (with Ti+Al > 5 mass%) have not been widely investigated thus far. Herein, the solidification cracking susceptibility of the CM247LC superalloy and its welds with ERNiFeCr-2 filler wire was quantitatively evaluated using a novel modified Varestraint testing method, for the successful manufacturing of CM247LC superalloy gas turbine blades. It was found that the solidification brittle temperature range (BTR) of the CM247LC superalloy was 400 K. This measurement was obtained with a high-speed thermo-vision camera

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Skvortsov, Arkady, Sergey Zuev, Marina Koryachko, and Vadim Glinskiy. "Thermal shock and degradation of metallization systems on silicon." Microelectronics International 33, no. 2 (2016): 102–6. http://dx.doi.org/10.1108/mi-05-2015-0049.

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Purpose The purpose of this study is to investigate the mechanisms of degradation of aluminum metallization under conditions of thermal shock caused by rectangular current pulses (amplitude j < 8 × 1010 A/m2, duration t < 800 μs). Design/methodology/approach The results were obtained using oscillography and optical microscopy and through the construction of an empirical model of the thermal degradation of metallization systems. Findings Initially, for the authors’ studies, they deduced an equation that associated the depth of melting with the parameters of a current pulse. Research limit

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Alahmadi, Hani, and Shailesh Naire. "The Role of Thermoviscous and Thermocapillary Effects in the Cooling and Gravity-Driven Draining of Molten Free Liquid Films." Fluids 8, no. 5 (2023): 153. http://dx.doi.org/10.3390/fluids8050153.

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We theoretically considered two-dimensional flow in a vertically aligned thick molten liquid film to investigate the competition between cooling and gravity-driven draining, which is relevant in the formation of metallic foams. Molten liquid in films cools as it drains, losing its heat to the surrounding colder air and substrate. We extended our previous model to include non-isothermal effects, resulting in coupled non-linear evolution equations for the film’s thickness, extensional flow speed and temperature. The coupling between the flow and cooling effect was via a constitutive relationship

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Chekanov, Vladimir, Anna Kovalenko, and Natalya Kandaurova. "Experimental and Theoretical Study of Forced Synchronization of Self-Oscillations in Liquid Ferrocolloid Membranes." Coatings 12, no. 12 (2022): 1901. http://dx.doi.org/10.3390/coatings12121901.

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A ferrocolloid is a suspension of nanometer-sized ferromagnetic particles (magnetite) in a carrier liquid (kerosene). A unique feature of a ferrocolloid is the fact that layers consisting of densely packed particles are formed near the electrode surface under the influence of an external electric field. Each layer is a liquid membrane, and its formation significantly affects the various properties of the system. For example, the development of a unique phenomenon in a ferrocolloid is self-organization (self-oscillations and autowaves). The applied external periodic force leads to a change (cap

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Кузнецов, В. В., and Е. Ю. Фоминых. "BOUNDARY LAYERS IN A LIQUID AND A GAS FLOW JOINT MOTION IN A MICROCHANNEL." Южно-Сибирский научный вестник, no. 5(45) (October 31, 2022): 40–45. http://dx.doi.org/10.25699/sssb.2022.45.5.001.

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Выведены система уравнений и граничные условия для связанных тепловых и концентрационного пограничных слоев, возникающих вблизи границы раздела фаз при совместном движении жидкой пленки и газового потока в микроканале. Такие слои были обнаружены в результате численных экспериментов, проведенных в [5]. Изучается случай, когда входящий поток газа не содержит паровой компоненты, является «сухим». При входе такого потока газа в канал с поверхности жидкой пленки сразу начинается интенсивное испарение, которое и является причиной формированияпограничных слоев - концентрационного в газе и температурн

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Vassenden, F., and T. Holt. "Experimental Foundation for Relative Permeability Modeling of Foam." SPE Reservoir Evaluation & Engineering 3, no. 02 (2000): 179–85. http://dx.doi.org/10.2118/62506-pa.

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Summary Optimization of foam treatments requires modeling or simulation of the process using a foam model that is capable of reproducing the critical properties of foam. In this work we present a simple model that is based on the relative permeability concept, and is well suited for simulation of foam processes with conventional or slightly modified numerical simulators. The model can unify understanding of a number of phenomena that characterizes foam flow. The validity of the model is substantiated by experimental data. A consistent interpretation of foam breakdown, shear thinning effects, p

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Carotenuto, Angelo Rosario, Anna Gaffney, Kayee C. Lee, Luka Pocivavsek, massimiliano fraldi, and Luca Deseri. "Towards predicting shear-banding instabilities in lipid monolayers." Journal of the Mechanical Behavior of Biomedical Materials 141 (March 1, 2023): 105743. https://doi.org/10.1016/j.jmbbm.2023.105743.

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Langmuir monolayers are advantageous systems used to investigate how lipid membranes get involved in the physiology of many living structures, such as collapse phenomena in alveolar structures. Much work focuses on characterizing the pressure-bearing capacity of Langmuir films, expressed in the form of isotherm curves. These show that monolayers experience different phases during compression with an according evolution of their mechanical response, incurring into instability events when a critical stress threshold is overcome.Although well-known state equations, which establish an inverse rela

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Korotchenko, Andrey N., and Anatoliy A. Kislitsin. "Mathematical model of killing an oil horizontal well." Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy 9, no. 2 (2023): 39–58. http://dx.doi.org/10.21684/2411-7978-2023-9-2-39-58.

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The physical picture of the killing fluid and the formation fluid movement in the process of killing a horizontal oil well has been described, a physical and mathematical model of the process has been developed and the limits of the model applicability have been indicated. It is recommended to conduct the killing process in two stages, separated by a technological break. During the first stage, the injected killing fluid fills the tubing, the annulus and the part of the horizontal wellbore. For the duration of the technological break, the denser tubing slowly displaces the formation fluid from

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CHAUHAN, A., C. MALDARELLI, D. T. PAPAGEORGIOU, and D. S. RUMSCHITZKI. "Temporal instability of compound threads and jets." Journal of Fluid Mechanics 420 (October 10, 2000): 1–25. http://dx.doi.org/10.1017/s0022112000001282.

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Compound threads and jets consist of a core liquid surrounded by an annulus of a second immiscible liquid. Capillary forces derived from axisymmetric disturbances in the circumferential curvatures of the two interfaces destabilize cylindrical base states of compound threads and jets (with inner and outer radii R1 and aR1 respectively). The capillary instability causes breakup into drops; the presence of the annular phase allows both the annular- and core-phase properties to influence the drop size. Of technological interest is breakup where the core snaps first, and then the annulus. This resu

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GOTTLIEB, O., and ALEXANDER ORON. "STABILITY AND BIFURCATIONS OF PARAMETRICALLY EXCITED THIN LIQUID FILMS." International Journal of Bifurcation and Chaos 14, no. 12 (2004): 4117–41. http://dx.doi.org/10.1142/s0218127404011958.

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We investigate the stability and bifurcations of parametrically excited thin liquid films. A recently derived nonlinear evolution equation for the two-dimensional spatio-temporal dynamics of falling liquid films on an oscillating vertical wall is expanded to low order Fourier modes. A fourth-order modal dynamical system is validated to yield the primary bifurcation structure of the fundamental falling film dynamics described by the Benney equation, and accurately predicts the quasi-periodic structure of the temporally modulated Benney equation (TMBE). The stability of fundamental steady and pe

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Sharma, Ashutosh, and Rajesh Khanna. "Pattern Formation in Unstable Thin Liquid Films." Physical Review Letters 81, no. 16 (1998): 3463–66. http://dx.doi.org/10.1103/physrevlett.81.3463.

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Alekseenko, S. V., V. E. Nakoryakov, and B. G. Pokusaev. "Wave formation on vertical falling liquid films." International Journal of Multiphase Flow 11, no. 5 (1985): 607–27. http://dx.doi.org/10.1016/0301-9322(85)90082-5.

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Xin, Jing, Beibei Xie, Ya Li, et al. "Formation of graphene oxide films at the liquid/liquid interface." Composite Interfaces 21, no. 7 (2014): 623–30. http://dx.doi.org/10.1080/15685543.2014.918789.

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Ugo, Cataldi, and Buergi Thomas. "Plasmonic coupling induced by growing processes of metal nanoparticles in wrinkled structures and driven by mechanical strain applied to a polidimethisiloxisilane template." Photonics Letters of Poland 9, no. 2 (2017): 45. http://dx.doi.org/10.4302/plp.v9i2.702.

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We report the mechanical control of plasmonic coupling between gold nanoparticles (GNPs) coated onto a large area wrinkled surface of an elastomeric template. Self-assembly and bottom-up procedures, were used to fabricate the sample and to increase the size of GNPs by exploiting the reduction of HAuCl4 with hydroxylamine. The elastic properties of template, the increase of nanostructure size joined with the particular grating configuration of the surface have been exploited to trigger and handle the coupling processes between the nanoparticles. Full Text: PDF ReferencesG. Mie, "Beiträge zur Op

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Prokudina, L. A., and M. P. Vikhirev. "Numerical Simulation of the Instability of a Non-Isothermal Liquid Film in Film Devices." MATEC Web of Conferences 346 (2021): 03008. http://dx.doi.org/10.1051/matecconf/202134603008.

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This work presents results of numerical simulation of the instability of vertical liquid film flow at moderate Reynolds numbers in the framework of partial differential equation of the state of the free surface of the liquid film. Equation coefficients include different physicochemical factors such as surface tension parameter and Marangoni parameter. Python scripts are used for computation of wave characteristics, instability regions of liquid films and liquid films free surface state. Computational experiments were carried out for the vertical water and alcohol films. Results could be used i

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Bai, Lichun, Jinguang Sun, Zhijie Zeng, Yuhang Ma, and Lixin Bai. "Formation and rupture of gas film of antibubble." Technical Sciences 23, no. 1 (2020): 91–104. http://dx.doi.org/10.31648/ts.5376.

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The formation and rupture of gas film in the process of formation, rupture and coalescence of antibubbles were investigated by high-speed photography. It was found that a gas film will appear and wrap a droplet when the droplet hit a layer of liquid film or foam before impacting the gas-liquid interface. The gas film may survive the impact on the gas-liquid interface and act as the gas film of an antibubble. A multilayer droplet will be formed when the droplet hits through several layer of liquid films, and a multilayer antibubble will be formed when the multilayer droplet impact a gas-liquid

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Alves, Alexandre C. P. M., Luís M. N. B. F. Santos, Margarida Bastos, and José C. S. Costa. "Confined Silver Nanoparticles in Ionic Liquid Films." Molecules 28, no. 7 (2023): 3029. http://dx.doi.org/10.3390/molecules28073029.

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This work reports the formation of silver nanoparticles (AgNPs) by sputter deposition in thin films of three different ionic liquids (ILs) with the same anion (bis(trifluoromethylsulfonyl)imide) and cation (imidazolium), but with different alkyl chain lengths and symmetries in the cationic moiety ([C4C1im][NTf2], [C2C2im][NTf2], and [C5C5im][NTf2]). Ionic liquid (IL) films in the form of microdroplets with different thicknesses (200 to 800 monolayers) were obtained through vacuum thermal evaporation onto glass substrates coated with indium tin oxide (ITO). The sputtering process of the Ag onto

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Joo, S. W., S. H. Davis, and S. G. Bankoff. "A mechanism for rivulet formation in heated falling films." Journal of Fluid Mechanics 321 (August 25, 1996): 279–98. http://dx.doi.org/10.1017/s0022112096007720.

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We consider a long-wave evolution equation that governs a draining film on a heated plate and hence is capable of describing both surface-wave and thermocapillary instabilities. When the flow and heat transfer rates are moderate, we show, via weakly nonlinear analysis of a truncated system and numerical simulation of the full nonlinear evolution equation, that coupled temporal instabilities can create surface deformations that lead to an array of rivulets aligned with the flow. This work thus demonstrates a mechanism of rivulet formation based solely on instability phenomena.

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Kirkinis, E., and A. V. Andreev. "Odd-viscosity-induced stabilization of viscous thin liquid films." Journal of Fluid Mechanics 878 (September 4, 2019): 169–89. http://dx.doi.org/10.1017/jfm.2019.644.

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Thin viscous liquid films sitting on a solid substrate support nonlinear capillary waves, driven by surface shear stresses at a liquid–gas interface. When surface tension is spatially dependent other mechanisms, such as the thermocapillary effect, influence the dynamics of thin films. In this article we show that in liquids with broken time-reversal symmetry the character of the aforementioned waves and of the thermocapillary effect are significantly modified due to the presence of odd or Hall viscosity in the liquid. This is because odd viscosity gives rise to new terms in the pressure gradie

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