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Journal articles on the topic 'No-slip Boundary Condition'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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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

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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3

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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4

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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5

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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6

Raghunandana, John, and Kanthraj. "Stability of Journal Bearings Considering Slip Condition: A Non Linear Transient Analysis." Asian Journal of Engineering and Applied Technology 1, no. 2 (November 5, 2012): 26–30. http://dx.doi.org/10.51983/ajeat-2012.1.2.2493.

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The no-slip boundary condition is the foundation of traditional lubrication theory. 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 special engineered surfaces the no-slip boundary condition is not applicable. In the present study the non linear transient analysis of an engineered slip/no-slip surface on journal bearing performance is examined. Numerical Analysis is carried out by solving the modified Reynolds equation satisfying the boundary conditions using successive over relaxation scheme in a finite difference grid which gives the steady state pressure. An attempt is made to evaluate the mass parameter (a measure of stability) besides finding out the steady-state characteristics of the finite journal bearing.

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7

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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8

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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9

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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10

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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11

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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12

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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13

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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14

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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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

Abbatiello, Anna, Miroslav Bulíček, and Erika Maringová. "On the dynamic slip boundary condition for Navier–Stokes-like problems." Mathematical Models and Methods in Applied Sciences 31, no. 11 (October 2021): 2165–212. http://dx.doi.org/10.1142/s0218202521500470.

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The choice of the boundary conditions in mechanical problems has to reflect the interaction of the considered material with the surface. Still the assumption of the no-slip condition is preferred in order to avoid boundary terms in the analysis and slipping effects are usually overlooked. Besides the “static slip models”, there are phenomena that are not accurately described by them, e.g. at the moment when the slip changes rapidly, the wall shear stress and the slip can exhibit a sudden overshoot and subsequent relaxation. When these effects become significant, the so-called dynamic slip phenomenon occurs. We develop a mathematical analysis of Navier–Stokes-like problems with a dynamic slip boundary condition, which requires a proper generalization of the Gelfand triplet and the corresponding function space setting.

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18

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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19

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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20

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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21

Baranovskii, Evgenii S. "Exact Solutions for Non-Isothermal Flows of Second Grade Fluid between Parallel Plates." Nanomaterials 13, no. 8 (April 19, 2023): 1409. http://dx.doi.org/10.3390/nano13081409.

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In this paper, we obtain new exact solutions for the unidirectional non-isothermal flow of a second grade fluid in a plane channel with impermeable solid walls, taking into account the fluid energy dissipation (mechanical-to-thermal energy conversion) in the heat transfer equation. It is assumed that the flow is time-independent and driven by the pressure gradient. On the channel walls, various boundary conditions are stated. Namely, we consider the no-slip conditions, the threshold slip conditions, which include Navier’s slip condition (free slip) as a limit case, as well as mixed boundary conditions, assuming that the upper and lower walls of the channel differ in their physical properties. The dependence of solutions on the boundary conditions is discussed in some detail. Moreover, we establish explicit relationships for the model parameters that guarantee the slip (or no-slip) regime on the boundaries.

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22

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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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

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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26

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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27

Bae, Hyunji Jane, Adrián Lozano-Durán, Sanjeeb T. Bose, and Parviz Moin. "Dynamic slip wall model for large-eddy simulation." Journal of Fluid Mechanics 859 (November 16, 2018): 400–432. http://dx.doi.org/10.1017/jfm.2018.838.

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Wall modelling in large-eddy simulation (LES) is necessary to overcome the prohibitive near-wall resolution requirements in high-Reynolds-number turbulent flows. Most existing wall models rely on assumptions about the state of the boundary layer and require a priori prescription of tunable coefficients. They also impose the predicted wall stress by replacing the no-slip boundary condition at the wall with a Neumann boundary condition in the wall-parallel directions while maintaining the no-transpiration condition in the wall-normal direction. In the present study, we first motivate and analyse the Robin (slip) boundary condition with transpiration (non-zero wall-normal velocity) in the context of wall-modelled LES. The effect of the slip boundary condition on the one-point statistics of the flow is investigated in LES of turbulent channel flow and a flat-plate turbulent boundary layer. It is shown that the slip condition provides a framework to compensate for the deficit or excess of mean momentum at the wall. Moreover, the resulting non-zero stress at the wall alleviates the well-known problem of the wall-stress under-estimation by current subgrid-scale (SGS) models (Jiménez & Moser, AIAA J., vol. 38 (4), 2000, pp. 605–612). Second, we discuss the requirements for the slip condition to be used in conjunction with wall models and derive the equation that connects the slip boundary condition with the stress at the wall. Finally, a dynamic procedure for the slip coefficients is formulated, providing a dynamic slip wall model free of a priori specified coefficients. The performance of the proposed dynamic wall model is tested in a series of LES of turbulent channel flow at varying Reynolds numbers, non-equilibrium three-dimensional transient channel flow and a zero-pressure-gradient flat-plate turbulent boundary layer. The results show that the dynamic wall model is able to accurately predict one-point turbulence statistics for various flow configurations, Reynolds numbers and grid resolutions.

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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

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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30

Wang, Dehua, and Feng Xie. "Inviscid limit of compressible viscoelastic equations with the no-slip boundary condition." Journal of Differential Equations 353 (April 2023): 63–113. http://dx.doi.org/10.1016/j.jde.2022.12.041.

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31

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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32

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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33

Zhou, Chuan, Jianhua Li, Huaan Wang, Kailong Mu, and Lanhao Zhao. "A Divergence-Free Immersed Boundary Method and Its Finite Element Applications." Journal of Mechanics 36, no. 6 (August 6, 2020): 901–14. http://dx.doi.org/10.1017/jmech.2020.23.

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ABSTRACTIn order to maintain the no-slip condition and the divergence-free property simultaneously, an iterative scheme of immersed boundary method in the finite element framework is presented. In this method, the Characteristic-based Split scheme is employed to solve the momentum equations and the formulation for the pressure and the extra body force is derived according to the no-slip condition. The extra body force is divided into two divisions, one is in relation to the pressure and the other is irrelevant. Two corresponding independent iterations are set to solve the two sections. The novelty of this method lies in that the correction of the velocity increment is included in the calculation of the extra body force which is relevant to the pressure and the update of the force is incorporated into the iteration of the pressure. Hence, the divergence-free properties and no-slip conditions are ensured concurrently. In addition, the current method is validated with well-known benchmarks.

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34

Hou, J. S., M. H. Holmes, W. M. Lai, and V. C. Mow. "Boundary Conditions at the Cartilage-Synovial Fluid Interface for Joint Lubrication and Theoretical Verifications." Journal of Biomechanical Engineering 111, no. 1 (February 1, 1989): 78–87. http://dx.doi.org/10.1115/1.3168343.

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The objective of this study is to establish and verify the set of boundary conditions at the interface between a biphasic mixture (articular cartilage) and a Newtonian or non-Newtonian fluid (synovial fluid) such that a set of well-posed mathematical problems may be formulated to investigate joint lubrication problems. A “pseudo-no-slip” kinematic boundary condition is proposed based upon the principle that the conditions at the interface between mixtures or mixtures and fluids must reduce to those boundary conditions in single phase continuum mechanics. From this proposed kinematic boundary condition, and balances of mass, momentum and energy, the boundary conditions at the interface between a biphasic mixture and a Newtonian or non-Newtonian fluid are mathematically derived. Based upon these general results, the appropriate boundary conditions needed in modeling the cartilage-synovial fluid-cartilage lubrication problem are deduced. For two simple cases where a Newtonian viscous fluid is forced to flow (with imposed Couette or Poiseuille flow conditions) over a porous-permeable biphasic material of relatively low permeability, the well known empirical Taylor slip condition may be derived using matched asymptotic analysis of the boundary layer at the interface.

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35

Gudmundsson, G. Hilmar. "Ice deformation at the confluence of two glaciers investigated with conceptual map-plane and flowline models." Journal of Glaciology 43, no. 145 (1997): 537–47. http://dx.doi.org/10.3189/s0022143000035140.

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AbstractUsing analytical and numerical techniques, a two-dimensional (2-D) map-plane model and a 2-D flowline model are utilized to elucidate the horizontal and vertical ice deformation at the confluence of two glaciers. For a perfectly symmetrical confluence, the junction point of the two tributaries can be modeled as a no-slip/free-slip transition. A strongly localized surface depression develops around the junction point, accompanied by two broadly elevated zones positioned close to the margins of the tributaries facing the junction point. The confluence center line is subjected to horizontal longitudinal extension and a transverse compression. The compression generally exceeds the concomitant longitudinal extension in magnitude. Depth-integrated vertical strain rates along the center line are positive (extension), but the strain-rate variation with depth depends critically on the type of basal boundary conditions at the glacier bed. For a no-slip boundary condition, vertical strain rates change from positive at the surface to negative close to the base, whereas for a free-slip boundary condition (perfect sliding) vertical strain rates are positive throughout the depth. These theoretical results are compared with field measurements from Unteraargletscher, Bernese Alps, Switzerland.

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36

Gudmundsson, G. Hilmar. "Ice deformation at the confluence of two glaciers investigated with conceptual map-plane and flowline models." Journal of Glaciology 43, no. 145 (1997): 537–47. http://dx.doi.org/10.1017/s0022143000035140.

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AbstractUsing analytical and numerical techniques, a two-dimensional (2-D) map-plane model and a 2-D flowline model are utilized to elucidate the horizontal and vertical ice deformation at the confluence of two glaciers. For a perfectly symmetrical confluence, the junction point of the two tributaries can be modeled as a no-slip/free-slip transition. A strongly localized surface depression develops around the junction point, accompanied by two broadly elevated zones positioned close to the margins of the tributaries facing the junction point. The confluence center line is subjected to horizontal longitudinal extension and a transverse compression. The compression generally exceeds the concomitant longitudinal extension in magnitude. Depth-integrated vertical strain rates along the center line are positive (extension), but the strain-rate variation with depth depends critically on the type of basal boundary conditions at the glacier bed. For a no-slip boundary condition, vertical strain rates change from positive at the surface to negative close to the base, whereas for a free-slip boundary condition (perfect sliding) vertical strain rates are positive throughout the depth. These theoretical results are compared with field measurements from Unteraargletscher, Bernese Alps, Switzerland.

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37

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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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

Arif, Mohammad, Saurabh Kango, and Dinesh Kumar Shukla. "Effect of slip boundary condition and non-newtonian rheology of lubricants on the dynamic characteristics of finite hydrodynamic journal bearing." Surface Topography: Metrology and Properties 10, no. 1 (January 11, 2022): 015002. http://dx.doi.org/10.1088/2051-672x/ac4403.

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Abstract In the present study, the influence of various slip zone locations on the dynamic stability of finite hydrodynamic journal bearing lubricated with non-Newtonian and Newtonian lubricants has been investigated. Linearized equation of motion with free vibration of rigid rotor has been used to find the optimum location of the slip region with maximum stability margin limit. It has been observed that bearing with interface of slip and no-slip region near the upstream side of minimum film-thickness location is effective in improving the direct and cross stiffness coefficient, critical mass parameter, and critical whirling speed. The magnitude of dynamic performance parameters with slip effect is highly dependent on the rheology of lubricant. Shear-thinning lubricants combined with slip boundary condition shows higher dynamic stability as compared to the Newtonian lubricants under the conventional boundary condition. For all considered rheology of lubricants, the dynamic stability of bearing with slip effect is improving by increasing the eccentricity ratio.

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42

Zhang, Chen, Xuming Wang, Jiaqi Jin, Lixia Li, and Jan D. Miller. "AFM Slip Length Measurements for Water at Selected Phyllosilicate Surfaces." Colloids and Interfaces 5, no. 4 (October 1, 2021): 44. http://dx.doi.org/10.3390/colloids5040044.

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Most reported slip length measurements have been made at the surfaces of synthetic materials and modified synthetic materials. In contrast, few slip length measurements at the surface of unmodified natural mineral surfaces have been reported. In this regard, flow at the silica face surfaces of the phyllosilicate minerals, talc and mica, was considered. A slip boundary condition was expected at the nonpolar hydrophobic silica surface of talc leading to enhanced flow, and a no-slip boundary condition was expected at the hydrophilic silica surface of mica. Atomic force microscopy (AFM) slip length measurements were made at the talc and mica surfaces. The slip length results for the hydrophobic silica surface of talc were contrasted to the results for the hydrophilic silica surface of mica (no-slip flow). The results are discussed based on molecular dynamics simulations (MDS), as reported in the literature, and AFM images of surface nanobubbles. For nonpolar hydrophobic surfaces (such as talc), it is doubtful that the MDS interfacial water structure and the water exclusion zone (3.2 Å) account for the AFM slip flow with slip lengths as great as 95 nm. Rather, a better explanation for the AFM slip flow condition is based on reduced interfacial viscosity due to the presence of dissolved gas and the accommodation of pancake nanobubbles at the talc surface having a height dimension of magnitude similar to the slip length.

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43

Huang, Yuanding, Xuezeng Zhao, Yunlu Pan, and Khurshid Ahmad. "Simulation of Effective Slip and Drag in Pressure-Driven Flow on Superhydrophobic Surfaces." Journal of Nanomaterials 2016 (2016): 1–9. http://dx.doi.org/10.1155/2016/5052602.

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The flow on superhydrophobic surfaces was investigated using finite element modeling (FEM). Surfaces with different textures like grooves, square pillars, and cylinders immersed in liquid forming Cassie state were modeled. Nonslip boundary condition was assumed at solid-liquid interface while slip boundary condition was supposed at gas-liquid interface. It was found that the flow rate can be affected by the shape of the texture, the fraction of the gas-liquid area, the height of the channel, and the driving pressure gradient. By extracting the effective boundary slip from the flow rate based on a model, it was found that the shape of the textures and the fraction of the gas-liquid area affect the effective slip significantly while the height of the channel and the driving pressure gradient have no obvious effect on effective slip.

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44

MUCHA, PIOTR B., and MILAN POKORNÝ. "WEAK SOLUTIONS TO EQUATIONS OF STEADY COMPRESSIBLE HEAT CONDUCTING FLUIDS." Mathematical Models and Methods in Applied Sciences 20, no. 05 (May 2010): 785–813. http://dx.doi.org/10.1142/s0218202510004441.

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We consider the steady compressible Navier–Stokes–Fourier system in a bounded three-dimensional domain. We prove the existence of a solution for arbitrarily large data under the assumption that the pressure p(ϱ, θ) ~ ϱθ + ϱγ for [Formula: see text] assuming either the slip or no-slip boundary condition for the velocity and the Newton boundary condition for the temperature. The regularity of solutions is determined by the basic energy estimates, constructed for the system.

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45

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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46

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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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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48

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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BAYADA, GUY, NADIA BENHABOUCHA, and MICHÈLE CHAMBAT. "NEW MODELS IN MICROPOLAR FLUID AND THEIR APPLICATION TO LUBRICATION." Mathematical Models and Methods in Applied Sciences 15, no. 03 (March 2005): 343–74. http://dx.doi.org/10.1142/s021820250500039x.

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A thin micropolar fluid with new boundary conditions at the fluid-solid interface, linking the velocity and the microrotation by introducing a so-called "boundary viscosity" is presented. The existence and uniqueness of the solution is proved and, by way of asymptotic analysis, a generalized micropolar Reynolds equation is derived. Numerical results show the influence of the new boundary conditions for the load and the friction coefficient. Comparisons are made with other works retaining a no slip boundary condition.

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50

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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