Academic literature on the topic 'No-slip Boundary Condition'

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

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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "No-slip Boundary Condition"

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Fortier, Alicia Elena. "Numerical Simulation of Hydrodynamic Bearings with Engineered Slip/No-Slip Surfaces." Thesis, Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/4929.

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The no-slip boundary condition is the foundation of traditional lubrication theory. It says that fluid adjacent to a solid boundary has zero velocity relative to that 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 special engineered surfaces the no-slip boundary condition is not applicable. Measured velocity profiles suggest that slip is occurring at the interface. In the present study, it is found that judicious application of slip to a bearings surface can lead to improved bearing performance. The focus of this thesis is to analyze the effect an engineered slip/no-slip surface could have on hydrodynamic bearing performance. A heterogeneous pattern is applied to the bearing surface in which slip occurs in certain regions and is absent in others. Analysis is performed numerically for both plane pad slider bearings and journal bearings. The performance parameters evaluated for the bearings are load carrying capacity, side leakage rate and friction force. Fluid slip is assumed to occur according to the Navier relation and the effect of a critical value for slip onset is considered.
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Honig, Christopher David Frederick. "Validation of the no slip boundary condition at solid-liquid interfaces." Connect to thesis, 2008. http://repository.unimelb.edu.au/10187/3612.

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This thesis describes the study of the hydrodynamic boundary condition at the solid-liquid interface using the colloidal probe Atomic Force Microscope. Quantitative comparison between measured lubrication forces and theoretical lubrication forces show that the measured forces agree with theory when the no slip boundary condition is employed. We measure an effective slip length of 0 ± 2 nm at shear rates up to 250,000 sec-1. Our results are consistent with the Taylor lubrication equation without the need to invoke a slip length fitting parameter. Our results are also consistent with molecular dynamic simulations that predict no slip at the shear rates that are currently experimentally accessible.
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Sutherland, Duncan. "Numerical study of vortex generation in bounded flows with no-slip and partial slip boundary conditions." Thesis, The University of Sydney, 2014. http://hdl.handle.net/2123/11778.

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The main contributions of this thesis are an investigation of the effect of slip on dipole-wall collisions and a study of topological changes in two-dimensional bounded flows. The Navier-Stokes equations in the streamfunction-vorticity formulation are solved in both a channel domain, periodic in the streamwise direction and also in a disc domain, with either no-slip or Navier boundary conditions. Navier boundary conditions permit some fluid slip along the wall. The normal velocity component at the wall is always zero, but the tangential component of velocity is proportional to the rate of strain at the boundary, with the constant of proportionality identified as the slip length. Recently, Romain Nguyen van yen, Marie Farge, and Kai Schneider, ``Energy dissipating structures produced by walls in two-dimensional flows at vanishing viscosity'', Physical Review Letters, 106:184502, 2011 investigated the problem of a dipole incident on a rigid boundary using a volume penalisation method. The volume penalisation method approximates a no-slip boundary condition and intrinsically introduces some slip at the boundary, which vanishes as the Reynolds number increases. Their results indicate that energy dissipating structures persist in the vanishing viscosity limit. Here a similar problem was investigated using Fourier collocation techniques in the streamwise direction, and a compact finite difference method in the direction normal to the wall. The boundary conditions were enforced using a linear superposition technique called the influence matrix method, modified to treat Navier boundary conditions. For the no-slip boundary condition no evidence of energy dissipating structures was found in the limit as the viscosity approaches zero, and this result also holds for any fixed slip length. However when the slip length was taken to vary inversely with Reynolds number, the results of Nguyen van yen et al were recovered. To investigate the production of enstrophy at the wall it is useful to track the minima, maxima, and saddle points of the vorticity and streamfunction. As coherent structures of vorticity approach near the wall, vorticity is generated at the wall to satisfy the no-slip or Navier boundary conditions and injected into the domain. The flow throughout the domain may be classified into regions dominated by coherent vortices, and regions dominated by filamentary stretching by a condition called the Okubu-Weiss criterion. The Okubu-Weiss criterion can be derived by considering the linear stability of the stagnation points of the flow, and it can be considered as a measure of curvature of the streamfunction. The Gaussian curvature of both the streamfunction and vorticity can be used to directly classify the flow into hyperbolic and elliptical regions. The curvature of the streamfunction is essentially a modification of the Okubu-Weiss criterion and can be interpreted as a balance between vorticity and strain, but the curvature of the vorticity does not appear to have a simple physical interpretation. The Gauss-Bonnet theorem shows that the total Gaussian curvature of both vorticity and streamfunction vanishes for a doubly-periodic domain and for the channel domain. For a disc domain it is possible to derive similar conservation laws. In the channel domain and a disc domain, the total curvature of the streamfunction vanishes, but for the vorticity there is an additional contribution from the curvature of the boundary. The generation and merger of critical points in bounded flows was monitored in an observational study. In an unbounded domain, the well-known forward energy cascade forces energy to large spatial scales. Large numbers of small scale vortices will therefore merge into domain-filling structures. In bounded domains, the wall acts as a source of enstrophy which constantly injects small scale vortices that disturb the formation of organised, domain-filling circulation cells. Fayeza Al Sulti and Koji Ohkitani, ``Vortex merger and topological changes in two-dimensional turbulence'', Physical Review E, 86.1 016309, 2012 studied vortex merger in unbounded domains by counting the number of elliptic and hyperbolic critical points of vorticity and streamfunction. To identify and classify the critical points Al Sulti and Ohkitani used the zeros of gradient of the field and the eigenvalues of the Hessian matrix at those points. In this thesis a new algorithm is developed, based on estimating the the Poincaré-Hopf index near potential critical points. This algorithm avoids the difficulties of identifying the zeros of gradient of the field, instead only local minima are required. Results showing the motion of critical points in time and the variation in the number of critical points over the simulation for a channel geometry are presented. In addition to the overall theme of the effect of the boundary conditions on the interior flow, the influence matrix method has been improved into a powerful and efficient numerical method for studying viscous fluid flow. The extension to generalised boundary conditions also allows a careful comparison of the volume penalisation method, with its intrinsic approximation to no-slip boundary conditions, against methods that enforce the no-slip boundary conditions exactly.
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Chatchaidech, Ratthaporn. "Lubrication Forces in Polydimethylsiloxane (PDMS) Melts." Thesis, Virginia Tech, 2011. http://hdl.handle.net/10919/34085.

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The flow properties of polydimethylsiloxane (PDMS) melts at room temperature were studied by measurement of lubrication forces using an Atomic Force Microscopy (AFM) colloidal force probe. A glass probe was driven toward a glass plate at piezo drive rates in the range of 12 â 120 μm/s, which produced shear rates up to ~104 s-1. The forces on the probe and the separation from the plate were measured. Two hypotheses were examined: (1) when a hydrophilic glass is immersed in a flow of polymer melt, does a thin layer of water form at the glass surface to lubricate the flow of polymer and (2) when a polymer melt is subject under a shear stress, do molecules within the melt spatially redistribute to form a lubrication layer of smaller molecules at the solid surface to enhance the flow? To examine the effect of a water lubrication layer, forces were compared in the presence and the absence of a thin water layer. The presence of the water layer was controlled by hydrophobization of the solid. In the second part, the possibility of forming a lubrication layer during shear was examined. Three polymer melts were compared: octamethyltrisiloxane (OMTS, n = 3), PDMS (n avg = 322), and a mixture of 70 weight% PDMS and 30 weight% OMTS. We examined whether the spatial variation in the composition of the polymer melt would occur to relieve the shear stress. The prediction was that the trimer (OMTS) would become concentrated in the high shear stress region in the thin film, thereby decreasing the viscosity in that region, and mitigating the shear stress.
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"Viscous Compressible Flow Through a Micro-Conduit: Slip-Like Flow Rate with No-Slip Boundary Condition." Doctoral diss., 2019. http://hdl.handle.net/2286/R.I.54955.

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abstract: This dissertation studies two outstanding microscale fluid mechanics problems: 1) mechanisms of gas production from the nanopores of shale; 2) enhanced mass flow rate in steady compressible gas flow through a micro-conduit. The dissertation starts with a study of a volumetric expansion driven drainage flow of a viscous compressible fluid from a small capillary and channel in the low Mach number limit. An analysis based on the linearized compressible Navier-Stokes equations with no-slip condition shows that fluid drainage is controlled by the slow decay of the acoustic wave inside the capillary and the no-slip flow exhibits a slip-like mass flow rate. Numerical simulations are also carried out for drainage from a small capillary to a reservoir or a contraction of finite size. By allowing the density wave to escape the capillary, two wave leakage mechanisms are identified, which are dependent on the capillary length to radius ratio, reservoir size and acoustic Reynolds number. Empirical functions are generated for an effective diffusive coefficient which allows simple calculations of the drainage rate using a diffusion model without the presence of the reservoir or contraction. In the second part of the dissertation, steady viscous compressible flow through a micro-conduit is studied using compressible Navier-Stokes equations with no-slip condition. The mathematical theory of Klainerman and Majda for low Mach number flow is employed to derive asymptotic equations in the limit of small Mach number. The overall flow, a combination of the Hagen-Poiseuille flow and a diffusive velocity shows a slip-like mass flow rate even through the overall velocity satisfies the no-slip condition. The result indicates that the classical formulation includes self-diffusion effect and it embeds the Extended Navier-Stokes equation theory (ENSE) without the need of introducing additional constitutive hypothesis or assuming slip on the boundary. Contrary to most ENSE publications, the predicted mass flow rate is still significantly below the measured data based on an extensive comparison with thirty-five experiments.
Dissertation/Thesis
Doctoral Dissertation Mechanical Engineering 2019
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Su, Huan-Syun, and 蘇煥勛. "Development of a Core-Spreading Vortex Method with No-Slip Boundary Condition." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/53344097133955812324.

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碩士
國立臺灣大學
機械工程學研究所
95
Based on the core-spreading vortex method developed by Leonard and the blobs-splitting-and-merging scheme developed by Huang, this thesis develops a new numerical method for two-dimensional viscous incompressible flows with solid boundaries. The no-penetration boundary condition is satisfied by placing a vortex sheet along the boundary, which strength must be adapted to cancel the slip velocity on the boundary induced by all the other flow components. The strength of the vortex sheet is computed in the present work by the constant panel method. To simulate the diffusion of the vortex sheet into the flow field as time goes on, Koumoutsakos’ analytical solution is employed, in which an effective vorticity flux is derived and used for solving the vorticity diffusion equation. The solution is then discretized into blobs (called “ -blobs”) in the vicinity of the boundary. Moreover, to prevent the vorticity from entering into the body, the concept of “residual vorticity” is introduced in the sense that partial circulation of the vortex sheet is remained at the boundary without being diffused into the flow field. Blobs very close to the wall are thus unnecessary. Moreover, blobs may move too close to the boundary because of advection errors or other numerical errors. It may cause serious fluctuations in evaluating the strength of the vortex sheet. In order to reduce the fluctuations, these near-wall blobs (NWB) are also manipulated in use of the concept of “residual vorticity”. Finally, we apply the so-developed solver to a simulation of the flow past an impulsively started circular cylinder at different Reynolds numbers. The simulation results are compared with previous experimental as well as numerical data. The validity and the accuracy of this newly developed Navier-Stokes solver are confirmed.
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Books on the topic "No-slip Boundary Condition"

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Charlaix, E., and L. Bocquet. Hydrodynamic slippage of water at surfaces. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198789352.003.0004.

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The boundary condition (B.C.) for hydrodynamic flows at solid surfaces is usually assumed to be that of no slip. However a number of molecular simulations and experimental investigations over the last two decades have demonstrated violations of the no-slip B.C., leading to hydrodynamic slippage at solid surfaces. In this short review, we explore the molecular mechanisms leading to hydrodynamic slippage of water at various surfaces and discuss experimental investigations allowing us to measure the so-called slip length
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Escudier, Marcel. Kinematic description of fluids in motion and approximations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0006.

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In this chapter some of the terminology and simplifications which enable us to begin to describe and analyse practical fluid-flow problems are introduced. The terms ‘fluid particle’ and ‘streamline’ are defined. The principle of conservation of mass applied to steady one-dimensional flow through a streamtube of varying cross-sectional area resulted in the continuity equation. This important equation relates mass flowrate ṁ, volumetric flowrate Q̇, average fluid velocity V̄, fluid density ρ‎, and cross-sectional area A: m = ρ‎ Q̇ = ρ‎AV̅ = constant. For a constant-density fluid this result shows that fluid velocity increases if the cross-sectional area decreases, and vice versa. The no-slip boundary condition, a consequence of which is the boundary layer, is introduced.
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Book chapters on the topic "No-slip Boundary Condition"

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Lauga, Eric, Michael Brenner, and Howard Stone. "Microfluidics: The No-Slip Boundary Condition." In Springer Handbook of Experimental Fluid Mechanics, 1219–40. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-30299-5_19.

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Schweizer, Ben. "Homogenization of a Free Boundary Problem: The no-Slip Condition." In Multiscale Problems in Science and Technology, 283–90. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-642-56200-6_13.

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Lauga, Eric. "5. Boundary layers." In Fluid Mechanics: A Very Short Introduction, 74–87. Oxford University Press, 2022. http://dx.doi.org/10.1093/actrade/9780198831006.003.0005.

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‘Boundary layers’ focuses on the physics of boundary layers in high-speed flows and their impact on drag by starting with a summary of the 19th-century modelling approach consisting in neglecting the viscous terms in the Navier–Stokes equations at high Reynolds numbers (perfect fluid limit), leading to the Euler equations. This results in d’Alembert’s paradox, and the prediction of zero net drag for constant-speed motion in a fluid, which can be explained intuitively using Bernoulli’s equation for the pressure in a perfect fluid. This paradox was solved, with the help of the work of Ludwig Prandtl, who demonstrated the existence of boundary layers near rigid surfaces. In these boundary layers, large velocity gradients allow the external (Euler) flow solution to be brought to zero and therefore for the no-slip boundary condition to be enforced on the surface. We can estimate the small thickness of a boundary layer and scale it with the inverse square root of the relevant Reynolds number. The concept of flow separation (when a boundary layer is no longer attached to a surface), the wake behind a body, the difference between laminar and turbulent boundary layers, and the drag crisis at high Reynolds number for flow past a rigid body are all worth considering here.
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Fowler, Andrew. "The Scientific Legacy of George Gabriel Stokes." In George Gabriel Stokes, 197–216. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198822868.003.0011.

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The scientific legacy of George Gabriel Stokes is considered. Certain aspects of Stokes’s research work are reviewed and related to more recent fields of research. These include the Navier–Stokes equations and other approaches to rational continuum mechanics, the issue of existence of solutions, the boundary no-slip condition; Stokes flow and the issue of pendulum drag; the Hele-Shaw cell, viscous fingering, wavelength selection in pattern formation; moving contact lines; the highest water wave, rogue waves, the NLS equation; Stokes lines, exponential asymptotics, dendrite growth, slow manifods, and diffraction.
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Furbish, David Jon. "Turbulent Boundary-Layer Shear Flows." In Fluid Physics in Geology. Oxford University Press, 1997. http://dx.doi.org/10.1093/oso/9780195077018.003.0019.

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Turbulent shear flows next to solid boundaries are one of the most important types of flow in geology. In such flows, turbulence is generated primarily by boundary effects; vorticity originates near a boundary in association with the velocity gradients that arise from the no-slip condition at the boundary. Such gradients provide a ready source of vorticity for eddies and eddy-like structures to develop in response to the destabilizing effects of inertial forces, and then move outward into the adjacent flow. Eddies are also generated within the wakes of bumps that comprise boundary roughness, for example, sediment particles on the bed of a stream channel (Example Problem 11.4.2). As we have seen in Chapter 14, the fluctuating motions of turbulence involve, over any elementary area, fluxes of fluid momentum that are manifest as apparent (Reynolds) stresses. In addition, the complex motions of eddies and eddy-like structures efficiently advect heat and solutes from one place to another within a turbulent flow, and thereby facilitate mixing of heat and solutes throughout the fluid. For similar reasons, turbulent motions are responsible for lofting fine sediment into the fluid column of a stream channel and in the atmosphere. We will concentrate in this chapter on steady unidirectional flows where the mean streamwise velocity varies only in the coordinate direction normal to a boundary and the mean velocity normal to the boundary is zero. We also will adopt a classic treatment of turbulent boundary flow in developing the idea of L. Prandtl’s mixing-length hypothesis, from which we will obtain the logarithmic velocity law, a function that describes how the mean streamwise velocity varies in the coordinate direction normal to a boundary. In developing Prandtl’s hypothesis, we will see that the presence of apparent stresses associated with fluctuating motions leads to the idea of an eddy viscosity or apparent viscosity. Unlike the Newtonian viscosity, the eddy viscosity is a function of the mean velocity, and therefore coordinate position. This means that the eddy viscosity cannot, in general, be removed from stress terms involving spatial derivatives, as we previously did with the Newtonian viscosity in simplifying the Navier–Stokes equations.
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Furbish, David Jon. "Dimensional Analysis and Similitude." In Fluid Physics in Geology. Oxford University Press, 1997. http://dx.doi.org/10.1093/oso/9780195077018.003.0009.

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Some fluid flow problems are sufficiently simple that they can be treated mathematically in a straightforward way, making use of definitions of physical quantities, and taking into account initial and boundary conditions. For example, our derivation of the average velocity in a conduit with parallel walls (Example Problem 3.7.1) was obtained in a straightforward way once we specified the geometry of the problem, then made use of the definition of a Newtonian fluid and the no-slip condition. Whereas this type of analysis may work for some problems, it would be misleading to think that such direct approaches to solving problems are, in principle, always possible, hinging only on one’s mathematical skills and adeptness in specifying the geometry of a problem. Herein arise two noteworthy points. First, when initially examining a problem, one can sometimes obtain a clear idea of the desired solution before attempting a formal mathematical analysis. The means to do this, as we shall see below, is supplied by dimensional analysis, and it is a strategy that ought to be adopted in many circumstances. In fact, it is worth noting that dimensional analysis underlies many of the problems presented in this text. The advantage of knowing the form of a desired solution, of course, is that one has a clear target to guide the subsequent mathematical analysis. Indeed, this is the vantage point from which many classic problems, for example Stokes’s law for settling spheres, were initially examined. Second, a complete mathematical formulation of a problem may not be possible, due to the complexity of the problem, or due to absence of information required to constrain the mathematics of the problem. As a simple example, suppose that we were unaware of the no-slip condition in our analysis of the conduit-flow problem (Example Problem 3.7.1). Our analysis in this case would have essentially ended with (3.70), with the constant of integration C undetermined. Nevertheless, we could get close to our result (3.75) for the average velocity by another way.
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Lauga, Eric. "6. Vortices." In Fluid Mechanics: A Very Short Introduction, 88–106. Oxford University Press, 2022. http://dx.doi.org/10.1093/actrade/9780198831006.003.0006.

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‘Vortices’ is devoted to a common example of fluid motion, namely the localized swirling motion of a fluid called a vortex, starting by highlighting some examples of vortices in our daily life, most famously those in the weather system (cyclones and tornadoes). The phenomenon of vortex shedding, where vortices of alternating signs are periodically created in the wake of bodies, with a frequency measured by the dimensionless Strouhal number, and the analogy of the shedding of vortices by swimming fish is worth looking at. The concept of vorticity captures the tendency of fluids to rotate locally, and vorticity is created near surfaces due to the no-slip boundary condition. Vorticity is transported by the flow and it can be amplified by vortex stretching, and ultimately it is destroyed by the action of viscosity. Vortices have an impact in the flight of aeroplanes (including the starting vortex on the generation of wing circulation and the phenomenon of lift as well as trailing vortices) and in ball sports (including the Magnus effect in tennis and football).
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"Not Sticking." In Sticking Together: The Science of Adhesion, 228–46. The Royal Society of Chemistry, 2020. http://dx.doi.org/10.1039/bk9781788018043-00228.

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There are times when we want to ensure that things don't stick together and other times when we want to remove things that are stuck. To get the desired poor adhesion we simply reverse the principles that give us strong adhesion, though we need to add one more key factor, the no-slip boundary condition that makes cleaning a surface a tough challenge. Now we can make tomato ketchup flow cleanly out of its bottle, make ice slide off a roof and understand why a silicone release liner works. We can lubricate a mechanical joint and can apply the rather different principles of snowboarding to the lubrication of our hip joints. We can understand why food doesn't stick to Teflon, and why Teflon can stick to the pan. We then work out how to unstick stuff – that annoying label, that old paint, grease on our clothes and food from our crockery, learning about the Sinner circle and the choices it offers. Finally we take a look at why it's usually a bad idea to demand that adhesives be removable and/or recyclable.
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"Convection-diffusion problems with no slip boundary conditions." In Robust Computational Techniques for Boundary Layers, 163–72. Chapman and Hall/CRC, 2000. http://dx.doi.org/10.1201/9781482285727-11.

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Conference papers on the topic "No-slip Boundary Condition"

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Wukie, Nathan A. "A no-slip, moving-wall boundary condition for the Navier-Stokes equations." In AIAA Aviation 2019 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2019. http://dx.doi.org/10.2514/6.2019-3318.

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Fortier, Alicia E., and Richard F. Salant. "Numerical Analysis of a Journal Bearing With a Heterogeneous Slip/No-Slip Surface." In World Tribology Congress III. ASMEDC, 2005. http://dx.doi.org/10.1115/wtc2005-63088.

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The no-slip boundary condition is part of the foundation of 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 and friction force are evaluated. It is found that judicious application of slip to a journal bearing’s surface can lead to improved bearing performance.
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Wukie, Nathan A. "Correction: A no-slip, moving-wall boundary condition for the Navier-Stokes equations." In AIAA Aviation 2019 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2019. http://dx.doi.org/10.2514/6.2019-3318.c1.

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Tretheway, Derek C., Luoding Zhu, Linda Petzold, and Carl D. Meinhart. "Examination of the Slip Boundary Condition by µ-PIV and Lattice Boltzmann Simulations." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-33704.

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This work examines the slip boundary condition by Lattice Boltzmann simulations, addresses the validity of the Navier’s hypothesis that the slip velocity is proportional to the shear rate and compares the Lattice Boltzmann simulations to the experimental results of Tretheway and Meinhart (Phys. of Fluids, 14, L9–L12). The numerical simulation models the boundary condition as the probability, P, of a particle to bounce-back relative to the probability of specular reflection, 1−P. For channel flow, the numerically calculated velocity profiles are consistent with the experimental profiles for both the no-slip and slip cases. No-slip is obtained for a probability of 100% bounce-back, while a probability of 0.03 is required to generate a slip length and slip velocity consistent with the experimental results of Tretheway and Meinhart for a hydrophobic surface. The simulations indicate that for microchannel flow the slip length is nearly constant along the channel walls, while the slip velocity varies with wall position as a results of variations in shear rate. Thus, the resulting velocity profile in a channel flow is more complex than a simple combination of the no-slip solution and slip velocity as is the case for flow between two infinite parallel plates.
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5

Uth, Marc-Florian, Alf Crüger, and Heinz Herwig. "A New Partial Slip Boundary Condition for the Lattice-Boltzmann Method." In ASME 2013 11th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/icnmm2013-73026.

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In micro or nano flows a slip boundary condition is often needed to account for the special flow situation that occurs at this level of refinement. A common model used in the Finite Volume Method (FVM) is the Navier-Slip model which is based on the velocity gradient at the wall. It can be implemented very easily for a Navier-Stokes (NS) Solver. Instead of directly solving the Navier-Stokes equations, the Lattice-Boltzmann method (LBM) models the fluid on a particle basis. It models the streaming and interaction of particles statistically. The pressure and the velocity can be calculated at every time step from the current particle distribution functions. The resulting fields are solutions of the Navier-Stokes equations. Boundary conditions in LBM always not only have to define values for the macroscopic variables but also for the particle distribution function. Therefore a slip model cannot be implemented in the same way as in a FVM-NS solver. An additional problem is the structure of the grid. Curved boundaries or boundaries that are non-parallel to the grid have to be approximated by a stair-like step profile. While this is no problem for no-slip boundaries, any other velocity boundary condition such as a slip condition is difficult to implement. In this paper we will present two different implementations of slip boundary conditions for the Lattice-Boltzmann approach. One will be an implementation that takes advantage of the microscopic nature of the method as it works on a particle basis. The other one is based on the Navier-Slip model. We will compare their applicability for different amounts of slip and different shapes of walls relative to the numerical grid. We will also show what limits the slip rate and give an outlook of how this can be avoided.
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Xiao, Nian, John Elsnab, Susan Thomas, and Tim Ameel. "Isothermal Microtube Heat Transfer With Second-Order Slip Flow and Temperature Jump Boundary Conditions." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-15940.

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Two analytical models are presented in which the continuum momentum and energy equations, coupled with second-order slip flow and temperature jump boundary conditions, are solved. An isothermal boundary condition is applied to a microchannel with a circular cross section. The flow is assumed to be hydrodynamically fully developed and thermal field is either fully developed or thermally developing from the tube entrance. A traditional first-order slip boundary condition is found to over predict the slip velocity compared to the second-order model. Heat transfer increases at the upper limit of the slip regime for the second-order model. The maximum second-order correction to the first-order Nusselt number is on the order of 18% for air. The second-order effect is also more significant in the entrance region of the tube. The Nusselt number decreases relative to the no-slip value when slip and temperature jump effects are of the same order or when temperature jump effects dominate. When temperature jump effects are small, the Nusselt number increases relative to the no-slip value. Comparisons to a previously reported model for an isoflux boundary condition indicate that the Nusselt number for the isoflux boundary condition exceeds that for the isothermal case at all axial locations.
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7

Jassal, Gauresh R., and Bryan E. Schmidt. "Accurate Near Wall Measurements in Wall Bounded Flows with wOFV via an Explicit No-Slip Boundary Condition." In AIAA SCITECH 2023 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2023. http://dx.doi.org/10.2514/6.2023-2444.

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8

Xiao, Nian, John Elsnab, and Tim Ameel. "Microtube Gas Flows With Second-Order Slip Flow and Temperature Jump Boundary Conditions." In ASME 4th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2006. http://dx.doi.org/10.1115/icnmm2006-96097.

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Second-order slip flow and temperature jump boundary conditions are applied to solve the momentum and energy equations in a microtube for an isoflux thermal boundary condition. The flow is assumed to be hydrodynamically fully developed, and the thermal field is either fully developed or developing from the tube entrance. In general, first-order boundary conditions are found to over predict the effects of slip and temperature jump, while the effect of the second-order terms is most significant at the upper limit of the slip regime. The second-order terms are found to provide a correction to the first-order approximation. For airflows, the maximum second-order correction to the Nusselt number is on the order of 50%. The second-order effect is also more significant in the entrance region of the tube. Nusselt numbers are found to increase relative to their no-slip values when temperature jump effects are small. In cases where slip and temperature jump effects are of the same order, or where temperature jump effects dominate, the Nusselt number decreases when compared to traditional no-slip conditions.
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9

Yang, Wei, Shuhong Liu, and Yulin Wu. "A Numerical Method for Damping Computation of Rigid Cylindrical Containers." In ASME 2008 Fluids Engineering Division Summer Meeting collocated with the Heat Transfer, Energy Sustainability, and 3rd Energy Nanotechnology Conferences. ASMEDC, 2008. http://dx.doi.org/10.1115/fedsm2008-55346.

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It is known that the viscous damping at the free surface is an important part of the whole damping in partly filled liquid container. In order to compute the damping in partly filled rigid circular cylinder more reliably, a VOF (Volume of Fluid) method basing on FVM (Finite Volume Method) with adhesion wall boundary condition is used. Damping of viscous liquid sloshing is very difficult to compute precisely through numerical computation basing on Stokes equations with such two kinds of wall boundary conditions: One is to keep no-slip condition at tank bottom and slip condition at side walls. The other is to keep no-slip condition at side walls and slip at tank bottom. The damping computation discrepancy of these two conditions depends on the liquid height ratio h/R, where h is the liquid height and R is the radius of the cylindrical container. The method used in the present paper maintains all the wall boundary conditions, both side walls and bottom, with no slip conditions and can give an exact damping value instead of computing an estimation range. The simulation damping results show a better agreement with the published experimental measurements especially for liquid height ratio h/R < 1.
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10

Tretheway, Derek C., and Carl D. Meinhart. "Velocity Measurements of Flow Over Hydrophobic Microchannel Walls." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/mems-23896.

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Abstract This work addresses the controversy of slip of a hydrophilic fluid over a hydrophobic boundary by applying micron resolution particle image velocimetry (μ-PIV) to measure the flow profiles of water flowing through 30 × 300 micron channels that have a clean surface (hydrophilic) and channels coated with hydrophobic molecules, OTS (octadecyltrichlorosilane). The results for hydrophilic liquids flowing over hydrophilic boundaries are consistent with the no-slip boundary condition. However, the results show that the no-slip boundary condition is not necessarily valid for hydrophilic liquids flowing over hydrophobic boundaries. Thus, modeling fluid flow at the micro-scale with the assumption of no-slip may or may not be valid, but will depend on the interactions between the fluid and the surface properties of the wall.
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