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Journal articles on the topic 'No-slip condition'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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1

Hasegawa, Masato, Takumi Shimizu, Yoshio Matsui, and Hisanori Ueno. "Analysis of drag reduction with slip/no-slip boundary condition." Proceedings of Conference of Hokuriku-Shinetsu Branch 2004.41 (2004): 79–80. http://dx.doi.org/10.1299/jsmehs.2004.41.79.

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2

Day, Michael A. "The no-slip condition of fluid dynamics." Erkenntnis 33, no. 3 (November 1990): 285–96. http://dx.doi.org/10.1007/bf00717588.

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3

Zhu, Yingxi, and Steve Granick. "No-Slip Boundary Condition Switches to Partial Slip When Fluid Contains Surfactant." Langmuir 18, no. 26 (December 2002): 10058–63. http://dx.doi.org/10.1021/la026016f.

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4

Honig, C. D. F., and W. A. Ducker. "No-slip hydrodynamic boundary condition for hydrophilic particles." "Proceedings" of "OilGasScientificResearchProjects" Institute, SOCAR, no. 3 (June 30, 2011): 73–77. http://dx.doi.org/10.5510/ogp20110300086.

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5

WILLEMSEN, S. M., H. C. J. HOEFSLOOT, and P. D. IEDEMA. "NO-SLIP BOUNDARY CONDITION IN DISSIPATIVE PARTICLE DYNAMICS." International Journal of Modern Physics C 11, no. 05 (July 2000): 881–90. http://dx.doi.org/10.1142/s0129183100000778.

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Dissipative Particle Dynamics (DPD) has, with only a few exceptions, been used to study hydrodynamic behavior of complex fluids without confinement. Previous studies used a periodic boundary condition, and only bulk behavior can be studied effectively. However, if solid walls play an important role in the problem to be studied, a no-slip boundary condition in DPD is required. Until now the methods used to impose a solid wall consisted of a frozen layer of particles. If the wall density is equal to the density of the simulated domain, slip phenomena are observed. To suppress this slip, the density of the wall has to be increased. We introduce a new method, which intrinsically imposes the no-slip boundary condition without the need to artificially increase the density in the wall. The method is tested in both a steady-state and an instationary calculation. If repulsion is applied in frozen particle methods, density distortions are observed. We propose a method to avoid these distortions. Finally, this method is tested against conventional computational fluid dynamics (CFD) calculations for the flow in a lid-driven cavity. Excellent agreement between the two methods is found.

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6

Prabhakara, Sandeep, and M. D. Deshpande. "The no-slip boundary condition in fluid mechanics." Resonance 9, no. 5 (May 2004): 61–71. http://dx.doi.org/10.1007/bf02834016.

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7

Prabhakara, Sandeep, and M. D. Deshpande. "The no-slip boundary condition in fluid mechanics." Resonance 9, no. 4 (April 2004): 50–60. http://dx.doi.org/10.1007/bf02834856.

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8

Bayada, G., M. EL Alaoui Talibi, and M. Hilal. "About new models of slip/no-slip boundary condition in thin film flows." Applied Mathematics and Computation 338 (December 2018): 842–68. http://dx.doi.org/10.1016/j.amc.2018.06.044.

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9

HUANG, HUAXIONG, and BRIAN R. SEYMOUR. "THE NO-SLIP BOUNDARY CONDITION IN FINITE DIFFERENCE APPROXIMATIONS." International Journal for Numerical Methods in Fluids 22, no. 8 (April 30, 1996): 713–29. http://dx.doi.org/10.1002/(sici)1097-0363(19960430)22:8<713::aid-fld374>3.0.co;2-k.

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10

Svärd, Magnus, Mark H. Carpenter, and Matteo Parsani. "Entropy Stability and the No-Slip Wall Boundary Condition." SIAM Journal on Numerical Analysis 56, no. 1 (January 2018): 256–73. http://dx.doi.org/10.1137/16m1097225.

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11

Koplik, Joel, and Jayanth R. Banavar. "No-Slip Condition for a Mixture of Two Liquids." Physical Review Letters 80, no. 23 (June 8, 1998): 5125–28. http://dx.doi.org/10.1103/physrevlett.80.5125.

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12

Peng, X. Q., F. Shi, and Y. F. Dai. "Magnetorheological fluids modelling: without the no-slip boundary condition." International Journal of Materials and Product Technology 31, no. 1 (2008): 27. http://dx.doi.org/10.1504/ijmpt.2008.015892.

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13

Bowles, Adam P., Christopher D. F. Honig, and William A. Ducker. "No-Slip Boundary Condition for Weak Solid−Liquid Interactions." Journal of Physical Chemistry C 115, no. 17 (April 13, 2011): 8613–21. http://dx.doi.org/10.1021/jp1106108.

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14

Fortier, Alicia E., and Richard F. Salant. "Numerical Analysis of a Journal Bearing With a Heterogeneous Slip/No-Slip Surface." Journal of Tribology 127, no. 4 (May 26, 2005): 820–25. http://dx.doi.org/10.1115/1.2033897.

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The no-slip boundary condition is part of the foundation of the traditional lubrication theory. It states that fluid adjacent to a solid boundary has zero velocity relative to the solid surface. For most practical applications, the no-slip boundary condition is a good model for predicting fluid behavior. However, recent experimental research has found that for certain engineered surfaces the no-slip boundary condition is not valid. Measured velocity profiles show that slip occurs at the interface. In the present study, the effect of an engineered slip/no-slip surface on journal bearing performance is examined. A heterogeneous pattern, in which slip occurs in certain regions and is absent in others, is applied to the bearing surface. Fluid slip is assumed to occur according to the Navier relation. Analysis is performed numerically using a mass conserving algorithm for the solution of the Reynolds equation. Load carrying capacity, side leakage rate, and friction force are evaluated. In addition, results are presented in the form of Raimondi and Boyd graphs. It is found that the judicious application of slip to a journal bearing’s surface can lead to improved bearing performance.

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15

Verron, J., and E. Blayo. "The No-Slip Condition and Separation of Western Boundary Currents." Journal of Physical Oceanography 26, no. 9 (September 1996): 1938–51. http://dx.doi.org/10.1175/1520-0485(1996)026<1938:tnscas>2.0.co;2.

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16

Ranjith, S. Kumar, B. S. V. Patnaik, and Srikanth Vedantam. "No-slip boundary condition in finite-size dissipative particle dynamics." Journal of Computational Physics 232, no. 1 (January 2013): 174–88. http://dx.doi.org/10.1016/j.jcp.2012.07.046.

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17

Lauga, Eric, and Todd M. Squires. "Brownian motion near a partial-slip boundary: A local probe of the no-slip condition." Physics of Fluids 17, no. 10 (2005): 103102. http://dx.doi.org/10.1063/1.2083748.

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18

Song, Zhixiang, Fei Guo, Ying Liu, Songtao Hu, Xiangfeng Liu, and Yuming Wang. "Investigation of slip/no-slip surface for two-dimensional large tilting pad thrust bearing." Industrial Lubrication and Tribology 69, no. 6 (November 13, 2017): 995–1004. http://dx.doi.org/10.1108/ilt-06-2017-0152.

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Purpose This paper aims to present the slip/no-slip design in two-dimensional water-lubricated tilting pad thrust bearings (TPTBs) considering the turbulence effect and shifting of pressure centers. Design/methodology/approach A numerical model is established to analyze the slip condition and the effect of turbulence according to a Reynolds number defined in terms of the slip condition. Simulations are carried out for eccentrically and centrally pivoted bearings and the influence of different slip parameters is discussed. Findings A considerable enhancement in load capacity, as well as a reduction in friction, can be achieved by heterogeneous slip/no-slip surface designs for lubricated sliding contacts, especially for near parallel pad configurations. The optimized design largely depends on the pivot position. The load capacity increases by 174 per cent for eccentrically pivoted bearings and 159 per cent for centrally pivoted bearings for a suitable design. When slip zone locates at the middle of the radial direction or close to the inner edge, the performance of the TPTB is better. Research limitations/implications The simplification of slip effect on the turbulence (definition of Reynolds number) can only describe the trend of the increasing turbulence due to slip condition. The accurate turbulence expression considering the boundary slip needs further explorations. Originality/value The shifting of pressure center due to the slip/no-slip design for TPTBs is investigated in this study. The turbulence effect and influence of slip parameters is discussed for large water-lubricated bearings.

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19

Cao, Ying Han, and Jin Nan Chen. "Numerical Simulation of Effect of Slip Conditions on PVC Co-Rotating Twin-Screw Extrusion." Advanced Materials Research 189-193 (February 2011): 1946–54. http://dx.doi.org/10.4028/www.scientific.net/amr.189-193.1946.

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The effect of wall conditions on the co-rotating parallel twin-screw extrusion of rigid polyvinyl chloride (RPVC) is studied. The relationship between the shear stress at the screw wall and the slip velocity of the flowing melt obeys Navier’s linear law. At zero pressure difference between the entrance and exit of the melting section of twin-screw extruder, the volumetric flow rate and 3D isothermal flow fields of RPVC are calculated under different wall slip conditions in the metering section of the twin-screw extruder by using the evolution technique in POLYFLOW. The results show that when the slip coefficient is smaller than 104Pa*s/m , the volumetric flow rate of the melt is constant, corresponding to the full slip condition. When the slip coefficient is larger than 104Pa*s/m , with the slip coefficient decreasing, the volumetric flow rate and viscosity increase, but the gradients of velocity, pressure, and shear rate decrease. The residual stress of the product is thus reduced. Therefore, increasing wall slip is good for the stability of polymer extrusion and the product quality. The dispersive and the distributive mixing of the twin-screw extruder under full slip and no slip conditions are also studied. Results show that the mixing performance under no-slip condition is better than under full-slip condition, but slip at the wall is good for the extrusion of heat-sensitive materials.

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20

Borzenko, Evgeny, and Olga Dyakova. "Numerical Simulation of Newtonian Fluid Flow in a T-Channel with no Slip/Slip Boundary Conditions on a Solid Wall." Key Engineering Materials 743 (July 2017): 480–85. http://dx.doi.org/10.4028/www.scientific.net/kem.743.480.

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The planar flow of a Newtonian incompressible fluid in a T-shaped channel is investigated. Three fluid interaction models with solid walls are considered: no slip boundary condition, Navier slip boundary condition and slip boundary condition with slip yield stress. The fluid flow is provided by uniform pressure profiles at the boundary sections of the channel. The problem is numerically solved using a finite difference method based on the SIMPLE procedure. Characteristic flow regimes have been found for the described models of liquid interaction with solid walls. The estimation of the influence of the Reynolds number, pressure applied to the boundary sections and the parameters of these models on the flow pattern was performed. The criterial dependences describing main characteristics of the flow under conditions of the present work have been demonstrated.

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21

Noever, David. "A note on the no-slip condition applied to diffusing gases." Physics Letters A 144, no. 4-5 (March 1990): 253–55. http://dx.doi.org/10.1016/0375-9601(90)90931-d.

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22

Ganesan, Venkat, and Howard Brenner. "Comment on “No-Slip Condition for a Mixture of Two Liquids”." Physical Review Letters 82, no. 6 (February 8, 1999): 1333. http://dx.doi.org/10.1103/physrevlett.82.1333.

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23

Verschaeve, Joris C. G., and Bernhard Müller. "A curved no-slip boundary condition for the lattice Boltzmann method." Journal of Computational Physics 229, no. 19 (September 2010): 6781–803. http://dx.doi.org/10.1016/j.jcp.2010.05.022.

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24

Cuif Sjöstrand, Marianne, Yves D’Angelo, and Eric Albin. "No-slip wall acoustic boundary condition treatment in the incompressible limit." Computers & Fluids 86 (November 2013): 92–102. http://dx.doi.org/10.1016/j.compfluid.2013.07.015.

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25

King, Jack. "Viscosity in air-gun bubble modeling." GEOPHYSICS 81, no. 1 (January 1, 2016): T1—T9. http://dx.doi.org/10.1190/geo2015-0199.1.

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I have presented finite volume simulations of an air-gun bubble in which the compressible Navier-Stokes equations were solved numerically. These equations included viscosity. My simulation also applied the no-slip condition at the bubble surface. The effects of the viscous terms were small; however, the effect of the no-slip condition was significant, causing a reduction in the bubble rise rate of 18.1% and an increase in the collapse pressure of 17.9%. The no-slip condition caused boundary layers at the bubble surface and changes in the velocity structure throughout the bubble. The no-slip condition allowed the effect of skin-friction drag on the bubble to be captured, along with Kelvin-Helmholtz instabilities at the surface, which caused a change in the shape of the bubble during collapse. The influence of the no-slip condition suggests that it is important and should be included in air-gun bubble models.

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26

Luchini, Paolo. "Linearized no-slip boundary conditions at a rough surface." Journal of Fluid Mechanics 737 (November 25, 2013): 349–67. http://dx.doi.org/10.1017/jfm.2013.574.

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AbstractLinearized boundary conditions are a commonplace numerical tool in any flow problems where the solid wall is nominally flat but the effects of small waviness or roughness are being investigated. Typical examples are stability problems in the presence of undulated walls or interfaces, and receptivity problems in aerodynamic transition prediction or turbulent flow control. However, to pose such problems properly, solutions in two mathematical distinguished limits have to be considered: a shallow-roughness limit, where not only roughness height but also its aspect ratio becomes smaller and smaller, and a small-roughness limit, where the size of the roughness tends to zero but its aspect ratio need not. Here a connection between the two solutions is established through an analysis of their far-field behaviour. As a result, the effect of the surface in the small-roughness limit, obtained from a numerical solution of the Stokes problem, can be recast as an equivalent shallow-roughness linearized boundary condition corrected by a suitable protrusion coefficient (related to the protrusion height used years ago in the study of riblets) and a proximity coefficient, accounting for the interference between multiple protrusions in a periodic array. Numerically computed plots and interpolation formulas of such correction coefficients are provided.

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27

Tauviqirrahman, Mohammad, M. Fadhli Afif, P. Paryanto, J. Jamari, and Wahyu Caesarendra. "Investigation of the Tribological Performance of Heterogeneous Slip/No-Slip Journal Bearing Considering Thermo-Hydrodynamic Effects." Fluids 6, no. 2 (January 21, 2021): 48. http://dx.doi.org/10.3390/fluids6020048.

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The slip boundary has an important influence on hydrodynamic journal bearing. However, less attention has been paid to the positive effect of slip on thermal behaviour. In this study, a computational fluid dynamics (CFD) analysis investigating the thermo-hydrodynamic (THD) characteristics of heterogeneous slip/no-slip bearings running under steady, incompressible, and turbulent conditions is presented. A comprehensive analysis is made to investigate the THD behaviours of heterogeneous slip/no-slip bearings in terms of lubricant pressure, temperature distribution, volume fraction of vapor, and load-carrying capacity when they are running under different shaft rotational speeds. The multiphase cavitation model is adopted to represent the real operational condition of the journal bearing. Numerical results show that the load-carrying capacity of the heterogeneous slip/no-slip bearing can be significantly increased by up to 100% depending on the rotational speed. It is also observed that there is an optimal journal rotational speed for maximizing the load-carrying capacity. An insightful new finding is revealed in a numerical framework, wherein it is found that by introducing the heterogeneous slip/no-slip pattern, the maximum temperature can be reduced by up to 25% in comparison with a conventional bearing.

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28

Macia, F., M. Antuono, L. M. Gonzalez, and A. Colagrossi. "Theoretical Analysis of the No-Slip Boundary Condition Enforcement in SPH Methods." Progress of Theoretical Physics 125, no. 6 (June 1, 2011): 1091–121. http://dx.doi.org/10.1143/ptp.125.1091.

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29

Mortezapour, Saba, Hossein Eslami, and Ehsan Nedaaee Oskoee. "Rheology and morphology of no-slip sheared polymer nanocomposite under creep condition." Journal of Chemical Physics 143, no. 3 (July 21, 2015): 034901. http://dx.doi.org/10.1063/1.4926618.

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30

Dinaburg, Efim, Dong Li, and Yakov G. Sinai. "Navier-Stokes System on the Unit Square with no Slip Boundary Condition." Journal of Statistical Physics 141, no. 2 (September 9, 2010): 342–58. http://dx.doi.org/10.1007/s10955-010-0051-4.

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31

Cho, Dae-Geun, Jung-Gil Na, Jae-Boong Choi, Young-Jin Kim, and Taesung Kim. "Effect of Slip Boundary Condition on the Design of Nanoparticle Focusing Lenses." Journal of Nanoscience and Nanotechnology 8, no. 7 (July 1, 2008): 3741–48. http://dx.doi.org/10.1166/jnn.2008.18339.

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The importance of nanoparticles as a building block for novel application has been emphasized in various fields. Especially, nanoparticle beam has been widely used to measure particle size distribution, synthesize materials, and generate micro-patterns, as it can enhance the measurement resolution and transport efficiency. The aerodynamic lens system has been developed to focus particles in a certain size range. The manufacturing of nanoparticles in gas phase is typically performed at the low pressure conditions and the design and simulation of lens at low pressure have been steadily reported. The computational fluid dynamics (CFD) has been utilized to analyze the flow field and obtain particle trajectories. However, previous work has used no-slip boundary condition at low pressure. This paper describes the lens design and simulation with slip boundary condition at low pressure (∼1 Torr). The design of lens is discussed on the basis of the Wang et al.'s guidelines and the commercial code FLUENT is used for simulation. The results of this study show that the difference of particle beam radius between no-slip and slip boundary conditions is 0.03∼0.9 mm for particle size ranging from 3 to 200 nm with Brownian diffusion and that the transport efficiency is slightly higher with slip boundary condition.

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32

Patouillet, Kévin, and Laurent Davoust. "Between no slip and free slip: A new boundary condition for the surface hydrodynamics of a molten metal." Chemical Engineering Science 231 (February 2021): 116328. http://dx.doi.org/10.1016/j.ces.2020.116328.

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33

Arif, Mohammad, Saurabh Kango, and Dinesh Kumar Shukla. "Thermal Analysis of Journal bearing with controlled slip/no-slip boundary condition and Non-Newtonian Rheology of lubricant." Surface Topography: Metrology and Properties 9, no. 2 (June 1, 2021): 025037. http://dx.doi.org/10.1088/2051-672x/ac077b.

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34

JING, DALEI, JIAN SONG, and YI SUI. "HYDRAULIC AND THERMAL PERFORMANCES OF LAMINAR FLOW IN FRACTAL TREELIKE BRANCHING MICROCHANNEL NETWORK WITH WALL VELOCITY SLIP." Fractals 28, no. 02 (March 2020): 2050022. http://dx.doi.org/10.1142/s0218348x2050022x.

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This work theoretically studies the effects of wall velocity slip on the hydraulic resistance and convective heat transfer of laminar flow in a microchannel network with symmetric fractal treelike branching layout. It is found that the slip can reduce the hydraulic resistance and enhance the Nusselt number of laminar flow in the network; furthermore, the slip can also affect the optimal structure of the fractal treelike microchannel network with minimum hydraulic resistance and maximum convective heat transfer. Under the size constraint of constant total channel surface area, the optimal diameter ratio of microchannels at two successive branching levels of the symmetric fractal treelike microchannel network with a minimized hydraulic resistance is only dependent on branching number [Formula: see text] in the manner of [Formula: see text] for no slip condition, but decreases with the increasing slip length, the increasing branching number and the increasing length ratio of microchannels at two successive branching levels for slip condition. The convective heat transfer of the treelike microchannel network is independent on the diameter ratio for no slip condition, but displays an increasing after decreasing trend with the increasing diameter ratio for slip condition. The symmetric treelike microchannel network with the worst convective heat transfer performance is the network with diameter ratio equaling one for slip condition.

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35

Ellahi, Rahmat. "Exact Solutions of Flows of an Oldroyd 8-Constant Fluid with Nonlinear Slip Conditions." Zeitschrift für Naturforschung A 65, no. 12 (December 1, 2010): 1081–86. http://dx.doi.org/10.1515/zna-2010-1211.

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This communication is concerned with the nonlinear flows of an Oldroyd 8-constant fluid when the no-slip condition is not valid. Due to slip effects in terms of shear stress, the arising slip conditions are nonlinear. The resulting mathematical problems involves nonlinear differential equations and nonlinear boundary conditions. To the best of my knowledge, no such analysis for the flows of an Oldroyd 8-constant fluid is available in the literature. Graphs are plotted for the velocity profiles and examined with respect to the sundry emerging parameters.

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36

Ng, Chiu-On, and Rui Sun. "Pressure loss in channel flow resulting from a sudden change in boundary condition from no-slip to partial-slip." Physics of Fluids 29, no. 10 (October 2017): 103603. http://dx.doi.org/10.1063/1.4986268.

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37

MATTHEWS, MICCAL T., and KAREN M. HASTIE. "AN ANALYTICAL AND NUMERICAL STUDY OF UNSTEADY CHANNEL FLOW WITH SLIP." ANZIAM Journal 53, no. 4 (April 2012): 321–36. http://dx.doi.org/10.1017/s1446181112000272.

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AbstractA theoretical investigation of the unsteady flow of a Newtonian fluid through a channel is presented using an alternative boundary condition to the standard no-slip condition, namely the Navier boundary condition, independently proposed over a hundred years ago by both Navier and Maxwell. This boundary condition contains an extra parameter called the slip length, and the most general case of a constant but different slip length on each channel wall is studied. An analytical solution for the velocity distribution through the channel is obtained via a Fourier series, and is used as a benchmark for numerical simulations performed utilizing a finite element analysis modified with a penalty method to implement the slip boundary condition. Comparison between the analytical and numerical solution shows excellent agreement for all combinations of slip lengths considered.

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38

Lebon, G., D. Jou, and P. C. Dauby. "Beyond the Fourier heat conduction law and the thermal no-slip boundary condition." Physics Letters A 376, no. 45 (October 2012): 2842–46. http://dx.doi.org/10.1016/j.physleta.2012.09.034.

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39

Washizu, Hitoshi, Shi-aki Hyodo, Toshihide Ohmori, Noriaki Nishino, and Atsushi Suzuki. "Macroscopic No-Slip Boundary Condition Confirmed in Full Atomistic Simulation of Oil Film." Tribology Online 9, no. 2 (2014): 45–50. http://dx.doi.org/10.2474/trol.9.45.

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40

Kweon, Jae Ryong. "The Compressible Stokes Flows with No-Slip Boundary Condition on Non-Convex Polygons." Journal of Mathematical Fluid Mechanics 19, no. 1 (May 25, 2016): 47–57. http://dx.doi.org/10.1007/s00021-016-0264-7.

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41

Salazar Betancourt, Luis Fernando, Patrice Laure, Luisa Silva, and Mustafa Sager. "Numerical Implementation of a Rheology Model for Fiber-Reinforced Composite and Viscous Layer Approach for Friction Study." Key Engineering Materials 651-653 (July 2015): 848–54. http://dx.doi.org/10.4028/www.scientific.net/kem.651-653.848.

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A transverse isotropic viscous model accounting for the anisotropy exhibited in fiber-reinforced composite is integrated in the numerical platform of the software Rem3D®. Simulations under various mechanical loading are tested for volume fiber concentrations of 3.5% and 14.7%. Equivalent stresses and equivalent strain rate deformations given by the software were compared to the ones predicted by the model, finding very good agreements. As a second point developed on this paper, we comment on the slip condition between Die/Punch tool with the composite under compression. We noticed that the variation of the viscosity value on a small layer between the Die/Punch tooland the composite affects the nature of the contact. A viscous friction is then formulated as a technique to set slip/no-slip contact condition. We found that the slip condition is recovered at lower values of the viscosity in the interface Die/Punch with the reinforced composite, whereas the no slip condition stated for higher viscosity values.

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42

Wang, Li-li, Qing-liang Zeng, and Xin Zhang. "Influence of Spiral Angle on the Performance of Spiral Oil Wedge Sleeve Bearing." International Journal of Rotating Machinery 2018 (June 5, 2018): 1–7. http://dx.doi.org/10.1155/2018/5051794.

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Spiral angel is an important structure parameter of spiral oil wedge sleeve bearing, which produces greater impact on bearing performance. Based on JFO boundary condition, the generalized Reynolds equations considering four slip conditions are established. Using the concept of partial derivatives, stiffness and damping coefficients of sleeve bearing are calculated. The results show that carrying capacity and friction drag of oil film decrease, temperature rise decreases first and then increases, and end leakage rate, stiffness, and damping coefficients generally increase first and then decrease with the increase of spiral angle. The carrying capacity, friction drag, temperature rise, stiffness, and damping coefficients are smaller and the end leakage rate is higher considering wall slip and JFO condition compared with reckoning with no slip and Reynolds boundary condition.

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43

Durbin, P. A. "Considerations on the moving contact-line singularity, with application to frictional drag on a slender drop." Journal of Fluid Mechanics 197 (December 1988): 157–69. http://dx.doi.org/10.1017/s0022112088003210.

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It has previously been shown that the no-slip boundary condition leads to a singularity at a moving contact line and that this forces one to admit some form of slip. Present considerations on the energetics of slip due to shear stress lead to a yield stress boundary condition. A model for the distortion of the liquid state near solid boundaries gives a physical basis for this boundary condition. The yield stress condition is illustrated by an analysis of a slender drop rolling down an incline. That analysis provides a formula for the frictional drag resisting the drop movement. With the present boundary condition the length of the slip region becomes a property of the fluid flow.

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44

Sun, Qian, Yonghong Wu, Lishan Liu, and B. Wiwatanapataphee. "Solution of Time Periodic Electroosmosis Flow with Slip Boundary." Abstract and Applied Analysis 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/789147.

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Recent research confirms that slip of a fluid on the solid surface occurs at micrometer scale. Slip on solid surface may cause the change of interior material deformation which consequently leads to the change of velocity profile and stress field. This paper concerns the time periodic electroosmotic flow in a channel with slip boundary driven by an alternating electric field, which arises from the study of particle manipulation and separation such as flow pumping and mixing enhancement. Although exact solutions to various flow problems of electroosmotic flows under the no-slip condition have been obtained, exact solutions for problems under slip boundary conditions have seldom been addressed. In this paper, an exact solution is derived for the time periodic electroosmotic flow in two-dimensional straight channels under slip boundary conditions.

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HAYAT, T., S. NOREEN, and A. ALSAEDI. "THE SLIP AND INDUCED MAGNETIC FIELD EFFECTS ON THE PERISTALTIC TRANSPORT WITH HEAT AND MASS TRANSFER." Journal of Mechanics in Medicine and Biology 12, no. 04 (September 2012): 1250068. http://dx.doi.org/10.1142/s0219519412500686.

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In this attempt, simultaneous effects of slip condition and an induced magnetic field on the peristaltic flow of viscous fluid in an asymmetric channel is investigated. The whole analysis have been carried out in the presence of heat and mass transfer characteristics. The resulting mathematical model is solved by exploiting the boundary conditions derived from physical point of view. The expressions of the desired flow quantities of interest are derived and discussed. A comparison with no-slip condition is shown.

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Spikes, H. A. "The half-wetted bearing. Part 1: Extended Reynolds equation." Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 217, no. 1 (January 1, 2003): 1–14. http://dx.doi.org/10.1243/135065003321164758.

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Recent research has shown that, when a liquid is partially wetting or non-wetting against a very smooth solid surface, the conventional no-slip boundary condition can break down. Under such circumstances, the Reynolds equation is no longer applicable. In the current paper, the Reynolds equation is extended to consider the sliding, hydrodynamic lubrication condition where the lubricant has a no-slip boundary condition against the moving solid surface but can slip at a critical shear stress against the stationary surface. It is shown that such a ‘half-wetted’ bearing is able to combine good load support resulting from fluid entrainment with very low friction due to very low or zero Couette friction.

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Ren, Weiqing, Philippe H. Trinh, and Weinan E. "On the distinguished limits of the Navier slip model of the moving contact line problem." Journal of Fluid Mechanics 772 (April 28, 2015): 107–26. http://dx.doi.org/10.1017/jfm.2015.173.

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When a droplet spreads on a solid substrate, it is unclear what the correct boundary conditions are to impose at the moving contact line. The classical no-slip condition is generally acknowledged to lead to a non-integrable singularity at the moving contact line, which a slip condition, associated with a small slip parameter, ${\it\lambda}$, serves to alleviate. In this paper, we discuss what occurs as the slip parameter, ${\it\lambda}$, tends to zero. In particular, we explain how the zero-slip limit should be discussed in consideration of two distinguished limits: one where time is held constant, $t=O(1)$, and one where time tends to infinity at the rate $t=O(|\!\log {\it\lambda}|)$. The crucial result is that in the case where time is held constant, the ${\it\lambda}\rightarrow 0$ limit converges to the slip-free equation, and contact line slippage occurs as a regular perturbative effect. However, if ${\it\lambda}\rightarrow 0$ and $t\rightarrow \infty$, then contact line slippage is a leading-order singular effect.

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Jamil, Muhammad, and Najeeb Alam Khan. "Slip Effects on Fractional Viscoelastic Fluids." International Journal of Differential Equations 2011 (2011): 1–19. http://dx.doi.org/10.1155/2011/193813.

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Unsteady flow of an incompressible Maxwell fluid with fractional derivative induced by a sudden moved plate has been studied, where the no-slip assumption between the wall and the fluid is no longer valid. The solutions obtained for the velocity field and shear stress, written in terms of Wright generalized hypergeometric functions , by using discrete Laplace transform of the sequential fractional derivatives, satisfy all imposed initial and boundary conditions. The no-slip contributions, that appeared in the general solutions, as expected, tend to zero when slip parameter is . Furthermore, the solutions for ordinary Maxwell and Newtonian fluids, performing the same motion, are obtained as special cases of general solutions. The solutions for fractional and ordinary Maxwell fluid for no-slip condition also obtained as limiting cases, and they are equivalent to the previously known results. Finally, the influence of the material, slip, and the fractional parameters on the fluid motion as well as a comparison among fractional Maxwell, ordinary Maxwell, and Newtonian fluids is also discussed by graphical illustrations.

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Miksis, Michael J., and Stephen H. Davis. "Slip over rough and coated surfaces." Journal of Fluid Mechanics 273 (August 25, 1994): 125–39. http://dx.doi.org/10.1017/s0022112094001874.

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We study the effect of surface roughness and coatings on fluid flow over a solid surface. In the limit of small-amplitude roughness and thin lubricating films we are able to derive asymptotically an effective slip boundary condition to replace the no-slip condition over the surface. When the film is absent, the result is a Navier slip condition in which the slip coefficient equals the average amplitude of the roughness. When a layer of a second fluid covers the surface and acts as a lubricating film, the slip coefficient contains a term which is proportional to the viscosity ratio of the two fluids and which depends on the dynamic interaction between the film and the fluid. Limiting cases are identified in which the film dynamics can be decoupled from the outer flow.

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Roan, Esra, and Kumar Vemaganti. "The Nonlinear Material Properties of Liver Tissue Determined From No-Slip Uniaxial Compression Experiments." Journal of Biomechanical Engineering 129, no. 3 (November 19, 2006): 450–56. http://dx.doi.org/10.1115/1.2720928.

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The mechanical response of soft tissue is commonly characterized from unconfined uniaxial compression experiments on cylindrical samples. However, friction between the sample and the compression platens is inevitable and hard to quantify. One alternative is to adhere the sample to the platens, which leads to a known no-slip boundary condition, but the resulting nonuniform state of stress in the sample makes it difficult to determine its material parameters. This paper presents an approach to extract the nonlinear material properties of soft tissue (such as liver) directly from no-slip experiments using a set of computationally determined correction factors. We assume that liver tissue is an isotropic, incompressible hyperelastic material characterized by the exponential form of strain energy function. The proposed approach is applied to data from experiments on bovine liver tissue. Results show that the apparent material properties, i.e., those determined from no-slip experiments ignoring the no-slip conditions, can differ from the true material properties by as much as 50% for the exponential material model. The proposed correction approach allows one to determine the true material parameters directly from no-slip experiments and can be easily extended to other forms of hyperelastic material models.

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