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1

Pomeau, Y. "Moving contact line." Le Journal de Physique IV 11, PR6 (October 2001): Pr6–199—Pr6–212. http://dx.doi.org/10.1051/jp4:2001623.

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2

Miller, Sue Ellen. "Line of Contact." Strategies 2, no. 2 (November 1988): 18–21. http://dx.doi.org/10.1080/08924562.1988.10591655.

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3

Barrio-Zhang, Hernán, Élfego Ruiz-Gutiérrez, Steven Armstrong, Glen McHale, Gary G. Wells, and Rodrigo Ledesma-Aguilar. "Contact-Angle Hysteresis and Contact-Line Friction on Slippery Liquid-like Surfaces." Langmuir 36, no. 49 (December 1, 2020): 15094–101. http://dx.doi.org/10.1021/acs.langmuir.0c02668.

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4

Collet, P., J. De Coninck, F. Dunlop, and A. Regnard. "Dynamics of the Contact Line: Contact Angle Hysteresis." Physical Review Letters 79, no. 19 (November 10, 1997): 3704–7. http://dx.doi.org/10.1103/physrevlett.79.3704.

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5

Rusanov, Anatoly I. "Effect of contact line roughness on contact angle." Mendeleev Communications 6, no. 1 (January 1996): 30–31. http://dx.doi.org/10.1070/mc1996v006n01abeh000565.

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6

Li, Ri, and Yanguang Shan. "Contact Angle and Local Wetting at Contact Line." Langmuir 28, no. 44 (October 24, 2012): 15624–28. http://dx.doi.org/10.1021/la3036456.

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7

Gao, Lichao, Alexander Y. Fadeev, and Thomas J. McCarthy. "Superhydrophobicity and Contact-Line Issues." MRS Bulletin 33, no. 8 (August 2008): 747–51. http://dx.doi.org/10.1557/mrs2008.160.

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AbstractThe wettability of several superhydrophobic surfaces that were prepared recently by simple, mostly single-step methods is described and compared with the wettability of surfaces that are less hydrophobic. We explain why two length scales of topography can be important for controlling the hydrophobicity of some surfaces (the lotus effect). Contact-angle hysteresis (difference between the advancing, θA, and receding, θR, contact angles) is discussed and explained, particularly with regard to its contribution to water repellency. Perfect hydrophobicity (θA/θR = 180°/180°) and a method for distinguishing perfectly hydrophobic surfaces from those that are almost perfectly hydrophobic are described and discussed. The Wenzel and Cassie theories, both of which involve analysis of interfacial (solid/liquid) areas and not contact lines, are criticized. Each of these related topics is addressed from the perspective of the three-phase (solid/liquid/vapor) contact line and its dynamics. The energy barriers for movement of the three-phase contact line from one metastable state to another control contact-angle hysteresis and, thus, water repellency.
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8

Chebbi, Rachid. "Bingham fluid contact line dynamics." Journal of Adhesion Science and Technology 30, no. 15 (March 22, 2016): 1681–88. http://dx.doi.org/10.1080/01694243.2016.1158344.

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9

Xia, Yi, and Paul H. Steen. "Moving contact-line mobility measured." Journal of Fluid Mechanics 841 (March 1, 2018): 767–83. http://dx.doi.org/10.1017/jfm.2018.105.

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Contact-line mobility characterizes how fast a liquid can wet or unwet a solid support by relating the contact angle $\unicode[STIX]{x0394}\unicode[STIX]{x1D6FC}$ to the contact-line speed $U_{CL}$. The contact angle changes dynamically with contact-line speeds during rapid movement of liquid across a solid. Speeds beyond the region of stick–slip are the focus of this experimental paper. For these speeds, liquid inertia and surface tension compete while damping is weak. The mobility parameter $M$ is defined empirically as the proportionality, when it exists, between $\unicode[STIX]{x0394}\unicode[STIX]{x1D6FC}$ and $U_{CL}$, $M\unicode[STIX]{x0394}\unicode[STIX]{x1D6FC}=U_{CL}$. We discover that $M$ exists and measure it. The experimental approach is to drive the contact line of a sessile drop by a plane-normal oscillation of the drop’s support. Contact angles, displacements and speeds of the contact line are measured. To unmask the mobility away from stick–slip, the diagram of $\unicode[STIX]{x0394}\unicode[STIX]{x1D6FC}$ against $U_{CL}$, the traditional diagram, is remapped to a new diagram by rescaling with displacement. This new diagram reveals a regime where $\unicode[STIX]{x0394}\unicode[STIX]{x1D6FC}$ is proportional to $U_{CL}$ and the slope yields the mobility $M$. The experimental approach reported introduces the cyclically dynamic contact angle goniometer. The concept and method of the goniometer are illustrated with data mappings for water on a low-hysteresis non-wetting substrate.
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10

Haley, Patrick J., and Michael J. Miksis. "Dissipation and contact‐line motion." Physics of Fluids A: Fluid Dynamics 3, no. 3 (March 1991): 487–89. http://dx.doi.org/10.1063/1.858216.

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11

KUSUMI, Shunichi, Takahiro FUKUTANI, and Kazuyoshi NEZU. "Diagnosis of Overhead Contact Line based on Contact Force." Quarterly Report of RTRI 47, no. 1 (2006): 39–45. http://dx.doi.org/10.2219/rtriqr.47.39.

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12

Zhang, Junfeng, and Daniel Y. Kwok. "Contact Line and Contact Angle Dynamics in Superhydrophobic Channels." Langmuir 22, no. 11 (May 2006): 4998–5004. http://dx.doi.org/10.1021/la053375c.

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13

Shrestha, Neelu, Geoffrey Reeves, Patrick Leech, Yue Pan, and Anthony Holland. "Analytical test structure model for determining lateral effects of tri-layer ohmic contact beyond the contact edge." Facta universitatis - series: Electronics and Energetics 30, no. 2 (2017): 257–65. http://dx.doi.org/10.2298/fuee1702257s.

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Contact test structures where there is more than one non-metal layer, are significantly more complex to analyse compared to when there is only one such layer like active silicon on an insulating substrate. Here, we use analytical models for complex test structures in a two contact test structure and compare the results obtained with those from Finite Element Models (FEM) of the same test structures. The analytical models are based on the transmission line model and the tri-layer transmission line model in particular, and do not include vertical voltage drops except for the interfaces. The comparison shows that analytical models for tri-layer contacts to dual active layers agree well with FEM when the Specific Contact Resistances (SCR) of the contact interfaces is a significant part of the total resistance. Overall, there is a broad range of typical dual-layer-to-TLTLM contacts where the analytical model works. The insight (and quantifying) that the analytical model gives on the effect of the presence of the contact, on the distribution of current away from the contact is shown.
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14

Gelinck, E. R. M., and D. J. Schipper. "Deformation of Rough Line Contacts." Journal of Tribology 121, no. 3 (July 1, 1999): 449–54. http://dx.doi.org/10.1115/1.2834088.

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The influence of surface roughness on the bulk deformation of line contacts is studied. The model of Greenwood and Tripp (1967) will be extended to line contacts. It is found that the central pressure is a very good parameter to characterize the pressure distribution of rough line contacts. Function fits of the central pressure, the effective half width, the real area of contact, and the number of contacts are made. Comparison is made with the work of Lo (1969) and Greenwood et al. (1984).
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15

Krechetnikov, R. "On the moving contact line singularity." Доклады Академии наук 484, no. 3 (April 15, 2019): 285–88. http://dx.doi.org/10.31857/s0869-56524843285-288.

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Given that contact line between liquid and solid phases can move regardless how negligibly small are the surface roughness, Navier slip, liquid volatility, impurities, deviations from the Newtonian behavior, and other system- dependent parameters, the problem is treated here from the pure hydrodynamical point of view only. In this note, based on straightforward logical considerations, we would like to offer a new idea of how the moving contact line singularity can be resolved and provide support with estimates of the involved physical parameters as well as with an analytical local solution.
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16

Ibagon, Ingrid, Markus Bier, and S. Dietrich. "Three-phase contact line and line tension of electrolyte solutions in contact with charged substrates." Journal of Physics: Condensed Matter 28, no. 24 (April 26, 2016): 244015. http://dx.doi.org/10.1088/0953-8984/28/24/244015.

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17

ITO, Takahiro, Yosuke HIRATA, and Yutaka KUKITA. "ICONE15-10242 Molecular Dynamics Study on the Dependence of Contact Angle on the Speed of Contact Line." Proceedings of the International Conference on Nuclear Engineering (ICONE) 2007.15 (2007): _ICONE1510. http://dx.doi.org/10.1299/jsmeicone.2007.15._icone1510_120.

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18

Benilov, E. S., and M. Vynnycky. "Contact lines with a contact angle." Journal of Fluid Mechanics 718 (February 8, 2013): 481–506. http://dx.doi.org/10.1017/jfm.2012.625.

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AbstractThis work builds on the foundation laid by Benney & Timson (Stud. Appl. Maths, vol. 63, 1980, pp. 93–98), who examined the flow near a contact line and showed that, if the contact angle is $18{0}^{\circ } $, the usual contact-line singularity does not arise. Their local analysis, however, does not allow one to determine the velocity of the contact line and their expression for the shape of the free boundary involves undetermined constants. The present paper considers two-dimensional Couette flows with a free boundary, for which the local analysis of Benney & Timson can be complemented by an analysis of the global flow (provided that the slope of the free boundary is small, so the lubrication approximation can be used). We show that the undetermined constants in the solution of Benney & Timson can all be fixed by matching the local and global solutions. The latter also determines the contact line’s velocity, which we compute among other characteristics of the global flow. The asymptotic model derived is used to examine steady and evolving Couette flows with a free boundary. It is shown that the latter involve brief intermittent periods of rapid acceleration of contact lines.
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19

Ye, Gangfeng, Kelvin Shi, Robert Burke, Joan M. Redwing, and Suzanne E. Mohney. "Ti/Al Ohmic Contacts to n-Type GaN Nanowires." Journal of Nanomaterials 2011 (2011): 1–6. http://dx.doi.org/10.1155/2011/876287.

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Titanium/aluminum ohmic contacts to tapered n-type GaN nanowires with triangular cross-sections were studied. To extract the specific contact resistance, the commonly used transmission line model was adapted to the particular nanowire geometry. The most Al-rich composition of the contact provided a low specific contact resistance (mid10−8 Ωcm2) upon annealing at 600 °Cfor 15 s, but it exhibited poor thermal stability due to oxidation of excess elemental Al remaining after annealing, as revealed by transmission electron microscopy. On the other hand, less Al-rich contacts required higher annealing temperatures (850 or 900 °C) to reach a minimum specific contact resistance but exhibited better thermal stability. A spread in the specific contact resistance from contact to contact was tentatively attributed to the different facets that were contacted on the GaN nanowires with a triangular cross-section.
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20

Marsh, John A., S. Garoff, and E. B. Dussan V. "Dynamic contact angles and hydrodynamics near a moving contact line." Physical Review Letters 70, no. 18 (May 3, 1993): 2778–81. http://dx.doi.org/10.1103/physrevlett.70.2778.

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21

Spinu, S. "Viscoelastic Contact Modelling: Application to the Finite Length Line Contact." Tribology in Industry 40, no. 4 (December 15, 2018): 538–51. http://dx.doi.org/10.24874/ti.2018.40.04.03.

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22

Yu, Yang, Qun Wu, Kai Zhang, and BaoHua Ji. "Effect of triple-phase contact line on contact angle hysteresis." Science China Physics, Mechanics and Astronomy 55, no. 6 (April 20, 2012): 1045–50. http://dx.doi.org/10.1007/s11433-012-4736-3.

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23

Wang, Zhijian, Xuejin Shen, Xiaoyang Chen, Qiang Han, and Lei Shi. "Experimental study of starvation in grease-lubricated finite line contacts." Industrial Lubrication and Tribology 69, no. 6 (November 13, 2017): 963–69. http://dx.doi.org/10.1108/ilt-08-2017-0235.

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Purpose The purpose of this paper is to study starvation in grease-lubricated finite line contacts and to understand film-forming mechanisms of grease-lubricated finite line contacts. Design/methodology/approach A multiple-contact optical elastohydrodynamic (EHL) test rig is constructed to investigate the influences of lubricant properties on film thickness and lubrication conditions at different working conditions. The film thickness is calculated according to the relative light intensity principle. The degree of starvation is evaluated by the air–oil meniscus distance and the corresponding film thickness. Findings The experimental results show that for greases with high-viscosity base oil, the high-frequency fluctuation of film thickness is observed in low-speed operating conditions. Reducing the viscosity of the base oil and improving running speed can weaken the fluctuation of film thickness. The degree of starvation increases with increasing base oil viscosity, rolling speed and the crown drop. In addition, reducing the replenishment time by reducing the gap between the rollers also can increase the degree of starvation. Originality/value Starvation is often to occur in finite line contacts, such as roller bearings and gears; there are still limited finite line contact EHL test rigs, much less multiple-contact optical test rigs. Therefore, the present work is undertaken to construct the multiple-contact test rig and to evaluate the mechanism of starvation in finite line contacts.
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24

Nikas, George K. "Particle extrusion in elastohydrodynamic line contacts: Dynamic forces and energy consumption." Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 231, no. 10 (February 16, 2017): 1320–40. http://dx.doi.org/10.1177/1350650117693175.

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The author’s model of particle entrapment and thermoviscoplastic indentation built and experimentally validated in recent publications is utilised to calculate the contact forces on ductile, isolated interference particles passing through elastohydrodynamic, rolling–sliding, line contacts. The model is detailed and enriched by supplementary equations. A parametric study deals with the effects of particle size and cold hardness, kinetic friction coefficient, rolling velocity and slide-to-roll ratio of the contact on the particle contact forces, mean friction coefficient, temperature, plastic work and power required to deform a particle, as well as on dent volume and plastic strain rates of the indented contact surfaces. A factual selection of optimal conditions and parameter values that minimise the disruption of a contaminated contact is thus greatly facilitated.
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25

Pismen, L. M. "Mesoscopic hydrodynamics of contact line motion." Colloids and Surfaces A: Physicochemical and Engineering Aspects 206, no. 1-3 (July 2002): 11–30. http://dx.doi.org/10.1016/s0927-7757(02)00059-6.

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26

Dobbs, Harvey. "The elasticity of a contact line." Physica A: Statistical Mechanics and its Applications 271, no. 1-2 (September 1999): 36–47. http://dx.doi.org/10.1016/s0378-4371(99)00218-6.

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27

Miquelard-Garnier, Guillaume, Andrew B. Croll, Chelsea S. Davis, and Alfred J. Crosby. "Contact-line mechanics for pattern control." Soft Matter 6, no. 22 (2010): 5789. http://dx.doi.org/10.1039/c0sm00165a.

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28

Pomeau, Y. "Contact line moving on a solid." European Physical Journal Special Topics 197, no. 1 (August 2011): 15–31. http://dx.doi.org/10.1140/epjst/e2011-01432-1.

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29

Johnson, K. L., and J. A. Greenwood. "Maugis analysis of adhesive line contact." Journal of Physics D: Applied Physics 41, no. 19 (September 19, 2008): 199802. http://dx.doi.org/10.1088/0022-3727/41/19/199802.

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30

Luo, Xiongping, Xiao-Ping Wang, Tiezheng Qian, and Ping Sheng. "Moving contact line over undulating surfaces." Solid State Communications 139, no. 11-12 (September 2006): 623–29. http://dx.doi.org/10.1016/j.ssc.2006.04.040.

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31

Weinstein, O., and L. M. Pismen. "Scale Dependence of Contact Line Computations." Mathematical Modelling of Natural Phenomena 3, no. 1 (2008): 98–107. http://dx.doi.org/10.1051/mmnp:2008035.

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32

Grubert, D., and J. M. Yeomans. "Mesoscale modeling of contact line dynamics." Computer Physics Communications 121-122 (September 1999): 236–39. http://dx.doi.org/10.1016/s0010-4655(99)00320-3.

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33

Li, Shaofan, and Houfu Fan. "On multiscale moving contact line theory." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2179 (July 2015): 20150224. http://dx.doi.org/10.1098/rspa.2015.0224.

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In this paper, a multiscale moving contact line (MMCL) theory is presented and employed to simulate liquid droplet spreading and capillary motion. The proposed MMCL theory combines a coarse-grained adhesive contact model with a fluid interface membrane theory, so that it can couple molecular scale adhesive interaction and surface tension with hydrodynamics of microscale flow. By doing so, the intermolecular force, the van der Waals or double layer force, separates and levitates the liquid droplet from the supporting solid substrate, which avoids the shear stress singularity caused by the no-slip condition in conventional hydrodynamics theory of moving contact line. Thus, the MMCL allows the difference of the surface energies and surface stresses to drive droplet spreading naturally. To validate the proposed MMCL theory, we have employed it to simulate droplet spreading over various elastic substrates. The numerical simulation results obtained by using MMCL are in good agreement with the molecular dynamics results reported in the literature.
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34

Ertaş, Deniz, and Mehran Kardar. "Critical dynamics of contact line depinning." Physical Review E 49, no. 4 (April 1, 1994): R2532—R2535. http://dx.doi.org/10.1103/physreve.49.r2532.

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35

Kumar, Suman, Daniel H. Reich, and Mark O. Robbins. "Critical dynamics of contact-line motion." Physical Review E 52, no. 6 (December 1, 1995): R5776—R5779. http://dx.doi.org/10.1103/physreve.52.r5776.

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36

Ren, Weiqing. "Contact line dynamics on heterogeneous surfaces." Physics of Fluids 23, no. 7 (July 2011): 072103. http://dx.doi.org/10.1063/1.3609817.

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37

Krechetnikov, R. V. "On the Moving Contact Line Singularity." Doklady Physics 64, no. 1 (January 2019): 27–29. http://dx.doi.org/10.1134/s1028335819010099.

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38

Brochard, F., and P. G. De Gennes. "Collective modes of a contact line." Langmuir 7, no. 12 (December 1991): 3216–18. http://dx.doi.org/10.1021/la00060a049.

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39

Lawrence, David, John S. Donnal, Steven Leeb, and Yiou He. "Non-Contact Measurement of Line Voltage." IEEE Sensors Journal 16, no. 24 (December 15, 2016): 8990–97. http://dx.doi.org/10.1109/jsen.2016.2619666.

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40

Kiryushin, V. V. "Flows with a moving contact line." Fluid Dynamics 47, no. 2 (April 2012): 157–67. http://dx.doi.org/10.1134/s0015462812020032.

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41

Muto, Hiroyuki, and Mototsugu Sakai. "Elastoplastic Line Contact in Cylindrical Indentation." Materials Science Forum 449-452 (March 2004): 857–60. http://dx.doi.org/10.4028/www.scientific.net/msf.449-452.857.

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A novel indentation method is proposed to study the mechanical properties of porous and/or heterogeneous materials by the use of a cylindrical indenter with line loading on test specimens. The problems in line contact are examined. The indentation load P versus penetration depth h relation in line contact is expressed in terms of the radius R of cylindrical indenter and the contact length L. An application of a cylindrical indentation to a polycrystalline graphite leads to a successful determination of the Young's modulus and the yielding strength. It is concluded that the line contact rather than the conventional pyramidal point contact is more efficient for the experimental deternination of mechanical properties of porous and/or heterogeneous materials.
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42

Fernández-Toledano, J.-C., T. D. Blake, and J. De Coninck. "Contact-line fluctuations and dynamic wetting." Journal of Colloid and Interface Science 540 (March 2019): 322–29. http://dx.doi.org/10.1016/j.jcis.2019.01.041.

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43

Pospischil, Maximilian, Tobias Fellmeth, Andreas Brand, Sebastian Nold, Martin Kuchler, Markus Klawitter, Harald Gentischer, et al. "Optimizing Fine Line Dispensed Contact Grids." Energy Procedia 55 (2014): 693–701. http://dx.doi.org/10.1016/j.egypro.2014.08.046.

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44

Kudish, Ilya I., Eugene Pashkovski, Sergey S. Volkov, Andrey S. Vasiliev, and Sergey M. Aizikovich. "Heavily loaded line EHL contacts with thin adsorbed soft layers." Mathematics and Mechanics of Solids 25, no. 4 (January 25, 2020): 1011–37. http://dx.doi.org/10.1177/1081286519898878.

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Studies of thin soft polymeric or metal layers adsorbed on the surfaces of lubricated solids showed lower friction coefficients and energy losses. The degree to which this reduction happens depends on the coating material nature, its rheology, and coating thicknesses, as well as other factors. To an extent, the application of such soft coatings is in its infancy and it is still not clear which parameters affect the performance of lubricated joints, and how. This paper attempts to model such coated lubricated contacts and to understand how soft coatings affect the joint performance. The paper presents a model of heavily loaded elastohydrodynamically lubricated (EHL) contacts of solids made of elastic homogeneous materials, the surfaces of which are covered by thin coating layers made of soft elastic material. The model incorporates not only normal but also tangential contact stresses and displacements. First, the effect of tangential contact stresses and displacements on the problem parameters is determined, and then the EHL problem is formulated and analyzed. It is necessary to account for variations in the solid surface linear velocities caused by tangential contact stresses. The deformation and displacement processes in thin coating layers are asymptotically modeled by certain boundary conditions. This is done using the Fourier transform with respect to the coordinate along the contact and making the necessary simplifications of the equations. The formulated EHL problem incorporates the normal and tangential contact surface displacements caused by normal and tangential contact stresses. The difference between the classic EHL problems and the problem at hand is due to variations in the linear surface velocities compared with the nominal ones. This causes significant changes in the contact friction parameters. The solution of the EHL problem is obtained numerically. A parametric analysis of the EHL problem solution is performed.
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45

Budhraja, Vinay, Srinivas Devayajanam, and Prakash Basnyat. "Simulation Results: Optimization of Contact Ratio for Interdigitated Back-Contact Solar Cells." International Journal of Photoenergy 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/7818914.

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In the fabrication of interdigitated back contact (IBC) solar cells, it is very important to choose the right size of contact to achieve the maximum efficiency. Line contacts and point contacts are the two possibilities, which are being chosen for IBC structure. It is expected that the point contacts would give better results because of the reduced recombination rate. In this work, we are simulating the effect of contact size on the performance of IBC solar cells. Simulations were done in three dimension using Quokka, which numerically solves the charge carrier transport. Our simulation results show that around 10% of contact ratio is able to achieve optimum cell efficiency.
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46

Decker, E. L., and S. Garoff. "Contact Line Structure and Dynamics on Surfaces with Contact Angle Hysteresis." Langmuir 13, no. 23 (November 1997): 6321–32. http://dx.doi.org/10.1021/la970528q.

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47

Thompson, Peter A., and Mark O. Robbins. "Simulations of contact-line motion: Slip and the dynamic contact angle." Physical Review Letters 63, no. 7 (August 14, 1989): 766–69. http://dx.doi.org/10.1103/physrevlett.63.766.

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48

Shikhmurzaev, Yulii D. "Dynamic contact angles and flow in vicinity of moving contact line." AIChE Journal 42, no. 3 (March 1996): 601–12. http://dx.doi.org/10.1002/aic.690420302.

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49

TERAUCHI, Yoshio, and Toshiji NONISHI. "The effect of contact surface width variation on elastohydrodynamic line contact." Transactions of the Japan Society of Mechanical Engineers Series C 54, no. 508 (1988): 3073–79. http://dx.doi.org/10.1299/kikaic.54.3073.

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50

Nadkarni, G. D., and S. Garoff. "Reproducibility of Contact Line Motion on Surfaces Exhibiting Contact Angle Hysteresis." Langmuir 10, no. 5 (May 1994): 1618–23. http://dx.doi.org/10.1021/la00017a049.

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