Plane couette flow. Last edited: . A laminarization strategy presented in this Letter is inspired by investigation of the phase-space structure in the vicinity of a recently found unstable periodic orbit [G. We present the rich and complex relaxation dynamics of turbulent plane Couette flow when the Reynolds number is lowered. pdf. It is found that the wall oscillation generally stabilises the upper branch of the equilibrium solutions and achieves the corresponding drag reduction, while it This is plane Couette flow. In addition the temperatures of the plates are prescribed Dec 25, 1998 · Abstract. cit. Couette flow and Poiseuille flow are two fundamental flow concepts often encountered in fluid mechanics. Lagha. Experiment and direct numerical simulation allow us to study the velocity of the spot fronts and of the vortices observed This paper examines analytically and experimentally the case of turbulent plane Couette flow with a sufficient adverse pressure gradient to cause zero net flow. In this paper we show that an infinitesimal amount of polymer diffusion gives raise to a new wall-mode instability. & Johnston, J. 229, 499–516. Gallagher and A. This new instability might provide a generic transition pathway to elastic and elasto-inertial Jan 23, 2024 · [“A new linear stability analysis approach for microchannel flow based on the Boltzmann Bhatnagar–Gross–Krook equation,” Phys. We evidence experimentally for the first time in this geometry the existence of large scale flows. slip with a slip-relaxation parameter, along the fixed plate. Download File. Equation of Contin An investigation of the stability of plane Couette flow with viscous heating of a Navier–Stokes–Pourier fluid with an exponential dependence of viscosity upon temperature is presented. To our knowledge, this is the first use of the AMD model for resolved LES of stratified wall-bounded flow. Plane Couette flow is the stationary flow between two infinite parallel plates, moving in opposite directions at a constant speed, and pipe Poiseuille flow is the stationary flow in an infinite circular pipe, driven by a constant Oct 26, 1992 · The transition to turbulence in plane Couette flow was studied experimentally. Direct numerical simulation is used to track the nucleation of streaks during the spot growth. The problem of the stability of plane Couette flow to infinitesimal disturbances is carried numerically to larger Reynolds numbers than heretofore. Specifically, the reverse transition pathway from a Newtonian turbulent RPCF to a fully relaminarized drag enhanced viscoelastic flow has been elucidated. Fluid Mech Apr 4, 2005 · Laminarization of minimal plane Couette turbulence is achieved numerically through short-time imposition of weak spanwise system rotation. 2+t Describe the path lines and the streamlines. The rheological behavior of the fluid is described using the Carreau model. CrossRef Google Scholar Feb 23, 2017 · 107. For β = 0, it is known that nonlinear inviscid damping is true if the perturbation is taken in a suitable Gevrey space [4], [13]. 391–394. Plane Couette (PC) flow, the fluid motion between two parallel flat plates moving at different speeds, is one of the simplest canonical configurations for the numerical study of wall turbulence – its statistics and dynamics. 2017. S. Mar 6, 2015 · Using particle image velocimetry in a new experimental plane Couette flow, we investigate the dynamics of turbulent patches invading formerly laminar flows. We look for a steady solution for the velocity field of the form Jun 1, 2018 · Until now, all efforts have been in experimental approaches. 963, A33 (2023)]. The relevant order-parameter equation, the Landau equation, has been derived for the most unstable two-dimensional perturbation of finite size. 91 kB. Gavrilakis, L. The left plate moves with velocity −V in its own plane at the space coordinate x2 = −L, while the right plate at x2 = L moves parallel to the left plate with velocity +V . They take a steady three-dimensional form. Kluwer Academic. ). Phys. In particular, the Reynolds number ν − 1 can be large if the slip length α is suitably small. Mc. The solution yields, for the general (specular-diffuse) case of Maxwell boundary conditions for each of the two species The main topic of this thesis is the stability of incompressible plane Couette flow and pipe Poiseuille flow. The heat transfer model, which includes the viscous dissipation, is numerically simulated by using an implicit finite difference method. vol 177, page 133). The linearized stability equations and their boundary conditions result in an eigenvalue problem that is solved numerically using a Chebyshev Plane Couette, from experimental to idealized flows . te flow, studies the stability of disturbances so small A. There is no variation in pressure p anywhere in the flow. These flows appear as soon as laminar and turbulent domains coexist. , engineering flows associated with lubrication technology, thin-film Jul 1, 1979 · Heat transfer to laminar non-Newtonian Couette flow with pressure gradient is investigated in the present work. 009 Corpus ID: 125705387; Stability of plane Couette flow for the compressible Navier–Stokes equations with Navier-slip boundary☆ @article{Li2017StabilityOP, title={Stability of plane Couette flow for the compressible Navier–Stokes equations with Navier-slip boundary☆}, author={Hai-liang Li and Xingwei Zhang}, journal={Journal of Differential Equations}, year In plane Couette flow, the flow is driven by the top plate (which moves with constant velocity V) and there is no pressure gradient (p l = p r). 1991 Direct simulation of turbulent spots in plane Couette flow. Using classical small perturbation theory, the stability of the flow can be described by a sixth-order set of coupled ordinary differential equations. We investigate the growth in the spanwise direction of turbulent spots invading a laminar flow in a plane Couette flow. The effects of particle aspect ratio on turbulent arguments and particle statistics are explored, leading to the same conclusions as the previous experimental findings (Wang et al. ABSTRACT In this expository article, we discuss the application of the resolvent technique to prove nonlinear stability of 2 dimensional plane Couette fl ow. This paper presents a linear stability analysis of plane Couette flow of a granular material using a kinetic-theory-based model for the rheology of the medium. 185],3 that this fiow, just as most other viscous fiows, becomes unstable, that is, turbulent, for high Reynolds numbers. in [35] have Physics, Engineering. 1. e. 2015 Large-scale flows in transitional plane Couette flow: a key ingredient of the spot growth mechanism. The fluid, due to its viscosity , drags along with the moving surface. The Couette flow water channel was of an infinite-belt type with counter-moving walls. v x, v y, v z, and corresponding fluctuations, v 0 Plane Couette Flows. J. The general velocity distribution for a power-law non-Newtonian fluid is developed. Nov 1, 2023 · The Couette flow (y, 0) is one of the simplest laminar flows. Hanifi et al. Experimental and numerical studies show that at intermediate Reynolds numbers turbulence is transient and that the lifetimes are distributed exponentially The stability of compressible plane Couette flow, which is a simple case of hypersonic wall-bounded shear flows, is not well understood even though incompressible Couette flow has been studied extensively by linear stability analysis and shown to be stable to linear disturbances. Ordinary differential equations are obtained by Galerkin projection of the Navier–Stokes equations onto these modes. 9 In the studies of Sun, Yalcin, and Oberlack 7 temporal The first evidence of a variety of nonlinear equilibrium states of travelling and stationary waves is provided in a two-dimensional granular plane Couette flow via nonlinear stability analysis. Flow between two parallel plates separated by some vertical distance. & Alfredsson, P. Equation of State2. (2016). Description: This resource contains information related to couette & poiseuille flows. The friction Reynolds numbers of the simulations are 93, 220, and 500. The Couette flow is turbulent in the majority of practical cases, e. 2a) describes the velocity distribution in non-dimensional form across the channel with P as a parameter known as the non-dimensional pressure gradient . The mean flow, averaged in time and in the homogeneous direction, is analysed. The subcritical aspect of this transition is revealed by the stable coexistence of laminar and turbulent domains. The Galerkin method is used to derive a realistic model of plane Couette flow in terms of partial differential equations governing the space-time dependence of the amplitude of a few cross-stream…. Physics, Engineering. K. Jul 15, 2017 · DOI: 10. This instability leads to chaotic dynamics in inertialess Couette flow. This paper is the first attempt to take into account the effect of molecular scission on a drag reducing flow by a direct numerical simulation. 7) for the energy threshold vs. 2006. Jul 15, 2017 · It is shown that the plane Couette flow is asymptotically stable for small perturbation provided that the slip length, Reynolds and Mach numbers satisfy 3 (1 + ν ˜) α γ 2 (ν + α) γ 0 ≤ 1 and 2 α ν (ν + α) ≤ 1 for some constant γ 0 > 0. Poiseuille flow, on the other hand, describes the steady, incompressible flow of fluids The first flow visualization experimental results of transition in plane Couette flow are reported. 104, 2010, 104501). & Johansson, A. 449, 2001, pp. Mercer, "On the behavior of small disturbances in plane Couette flow," J. Lett. & Nishimura, F. Jun 1, 2023 · 1. The stability of a two-dimensional Couette-Poiseuille flow is investigated. Three direct numerical simulations of fully developed flow at different Reynolds numbers in a plane Couette have been performed with POONGBACK code which uses the spectral numerical method of Kim, Moin, and Moser (J. 291–300). P. The similarities and differences in the drag reduction features of PCF and plane Poiseuille flow (PPF) have been examined in detail, particularly in regard to the polymer-induced modification of Aug 6, 2013 · Using a nonlinear optimisation technique in a periodic computational domain, we identify the perturbations of plane Couette flow transitioning with least initial kinetic energy for Re ⩽ 3000. For slightly lower Jun 5, 2002 · We model turbulent plane Couette flow (PCF) by expanding the velocity field as a sum of optimal modes calculated via the proper orthogonal decomposition from numerical data. T o describe a turbulent flow, we introduce the time-averaged values of the flow. P. Kitoh, O. Article ADS MATH Google Scholar Lezius, D. This is the limiting case of flow in bearings with small spacing-to-radius ratios and large eccentricities. CrossRef Google Scholar The values of $\|\mathcal {H}\|_{\infty }$ for unstratified plane Couette and plane Poiseuille flows were previously analysed in Jovanović (Reference Jovanović 2004), Schmid (Reference Schmid 2007) and Illingworth (Reference Illingworth 2020). Oct 1, 2023 · This base flow corresponds to the plane Couette flow U (y) = y case studied using DNS in Chantry et al. Aug 29, 2023 · Turbulent plane-Couette flow suspended with finite-size spheroidal particles is studied using fully particle-resolved direct numerical simulations. for a negative or favourable pressure gradient in the direction of motion, the velocity is positive over Mar 20, 2024 · Multi-scale invariant solutions in plane Couette flow: a reduced-order model approach - Volume 983 Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. The primary unidirectional flow is between two infinite parallel plates, one of which moves relative to the other. the Reynolds number, in quantitative agreement with experimental estimates THE BOLTZMANN EQUATION FOR PLANE COUETTE FLOW RENJUN DUAN, SHUANGQIAN LIU, AND TONG YANG Abstract. A Couette profile is imposed onto the fluids by moving the rigid plates at equal speeds in opposite directions. Feb 3, 2021 · Turbulent flow between two plane surfaces in relative shearing motion has been studied with air in a belt-type apparatus with one fixed surface. Show that the vortcity for a plane flow on the xy-plane is given by _ (a21/ a21/) Wz - - ax2 + ay2 . The plane Couette flow. It is shown that, irrespective of the state of the walls, the critical Reynolds number, expressed in terms of relative wall velocity and wall Flow, Turbulence and Combustion - Experimental results for fully developed turbulent plane Couette flow are reported and compared to earlier experimental and numerical results. 23 ) 1 and the Navier-Stokes equations Abstract. Fig. During the decay process, the band contracts from its both ends with a statistical constant velocity, but keeps its center Oct 13, 2023 · Elastic turbulence is a chaotic flow state observed in dilute polymer solutions in the absence of inertia. A. Upper plate is moved and the lower plate is kept Feb 4, 2005 · An analytical version of the discrete-ordinates method is used to establish a concise and particularly accurate solution to the problem of plane Couette flow for a binary gas mixture described by the McCormack kinetic model. Solution In the absence of thermal effects and gravitational body forces, the flow of an incompressible Newtonian fluid is governed by conservation of mass ( 8. The flow is definitely stable up to R = 1430, although at Reynolds numbers in this vicinity plane Couette flow has been observed experimentally to be turbulent. A new periodic solution of plane Couette flow is also computed that could be related to transition to turbulence. JDE. The stability of pure Couette flow in such a two-layer system is also Jul 5, 2005 · Plane Couette flow of viscoelastic fluids is shown to exhibit a purely elastic subcritical instability at a very small-Reynolds number in spite of being linearly stable. Plane Couette flow, the flow between two parallel plates moving in opposite directions, belongs to the group of shear flows where turbulence occurs while the laminar profile is stable. Tillmark, N. Our degradation model is based on the maximum polymer extension length L. The study of the spatiotemporal evolution of these spots shows Apr 19, 2011 · Near transition, plane Couette flow takes the form of large-scale, oblique, and statistically steady alternating bands of turbulent and laminar flow. Expand. 1. Introduction The plane Couette flow is the shear-driven motion of fluid bounded by two parallel planes in relative motion. Couette flow is a particular type of flow in a fluid constrained to occur between two parallel flat walls, where one surface is at rest, and the other is moving with constant velocity in its plane. May 24, 2023 · We present the theoretical description of plane Couette flow based on the previously proposed equations of vortex fluid, which take into account both the longitudinal flow and the vortex tubes rotation. Because of the geometry, Couette flow is analyzed using rectangular or Cartesian coordinates (x, y). , Phys. velocities, denoting them as. The flow is driven by virtue of viscous drag force acting on the fluid and the applied pressure gradient parallel to the plates. Plane Couette flow consists of a fluid flowing between two infinite plates separated by a distance \(d\). , vol. (op. Google Scholar E. Fluids 34, 124114 (2022) and “A novel linear stability analysis method for plane Couette flow considering rarefaction effects,” J. Riis, "The stability of Couette flow in non-stratified and stratified viscous fluids," Geophys. 1422, and we select those values here for direct comparison. Four regimes—uniform, intermittent, periodic, and localized—are characterized. b. This particular case is known as simple Couette flow. Machiels & P. We analyse a turbulent plane Couette flow of a FENE-P fluid. May 20, 2021 · Hello learner,In this Series, we will discuss👉 Fundamental Equation of the Flow of Viscous Fluid and their Solution. Kawahara and S. ,13, 91–100 (1962). The mechanism of this instability is proposed and the nonlinear stability analysis of plane Couette flow of the Upper-Convected Maxwell fluid is presented. Introduction. AbstractIn this paper we study a class of solutions of the Boltzmann equation which have the form f (x, v, t) = g (v − L (t) x, t) where L (t) = A (I + tA)−1 with the matrix A describing a shear…. It is found that the tertiary flows, which bifurcate from two-dimensional streamwise vortex flows, are stable within a certain range of the rotation rate when the Reynolds number is relatively small. Rev. Couette flows¶ Couette flows are driven by moving boundaries, like the surface of a car or a plane. The results obtained in Couette flow are in qualitative agreement with the slit data but show much sharper intensity maxima. The influence of shear-thinning effect on the stability is investigated using the classical eigenvalue analysis, the energy method and the non-modal stability theory. Properties of these flows are investigated using direct numerical simulation in a tilted computational domain. The solutions are obtained numerically by extending the bifurcation problem of a circular Couette system between co-rotating cylinders with a narrow gap to the case with zero average rotation rate. 4% solid for the 165 nm particles. The oldest and best developed theory of hydro dynamic stability for plane parallel flows, not only for Couet. 2021-05-04 08:06:57 The Navier Stokes equation is famously known for being unsolvable if there is any turbulence in a fluid but there are certain scenarios where laminar flow exist and a solution for the velocity profile can be derived. & Monchaux, R. We also discuss the simple model of turbulent flow consisting of vortex Jun 8, 2020 · In the present work, the plane Couette flow of a Newtonian fluid is considered allowing the possibility of dynamic wall slip, i. It is a fairly exact representation of the flow in the pockets of deep pocket Jul 18, 2022 · Plane Couette flow. , Nakabyashi, K. When P > 0 , i. Mean velocities, turbulence intensities, scales and energy spectra measured in this flow indicate two regions of appreciably different characteristics. Jan 1, 2021 · MEC516/BME516 Fluid Mechanics, Chapter 4 Differential Relations for Fluid Flow, Part 5: Two exact solutions to the incompressible continuity and Navier-Stoke Sep 22, 2009 · 5. The dynamics of a plane interface separating two sheared, density and viscosity matched fluids in the vertical gap between parallel plate electrodes are studied computationally. The linear stability of compressible plane Couette flow is investigated. In Taylor-Couette van den Berg et al. . Couette flow refers to the laminar flow induced by the relative motion between two parallel surfaces, such as the flow of fluid between two flat plates. The full small-amplitude disturbance equations are solved numerically at finite Reynolds numbers, and the inviscid limit of these equations is then Equation (26. In the paper, we study the plane Couette flow of a rarefied gas between two parallel infinite plates at y = ±L moving relative to each other with opposite velocities (±αL,0,0) along the x-direction. Using this expression, find the vorticity for the flow in Exercise 4. It is found that the averaged period of the transient growth reduces slowly with the decrease of the Reynolds number (Re) except when Re is close to a threshold value of 286. The pressure \(p\) is constant and the fluid is incompressible. Couette flow. The violent nature of the bursting phenomenon implies the need for good resolution in the computation of periodic and relative periodic solutions within turbulent shear flows. The friction factor in Plane Couette flow has been modelled empirically by Robertson and Johnson (1970) and confirmed by Kitoh et al. The formation of turbulent patterns in plane Couette flow is investigated near the onset of transition, using numerical simulation in a very large domain of size 800 h × 2 h × 356 h. We obtain, from DNS data with O ( 1 0 5 ) degrees of freedom, a 25-dimensional DManD model of the dynamics by combining an autoencoder and neural ordinary Feb 1, 2024 · This is a natural extension of the energy stability condition from the Newtonian case: for any Reynolds number at which Newtonian Couette flow is energy stable (Re < Re E ≈ 83), there exists a finite parameter range in (We, β) for which the viscoelastic Oldroyd-B model is also globally stable. A set of several exact coherent states in plane Couette flow is computed under spanwise wall oscillation control, with a range of wall oscillation amplitudes and periods $({A_w}, T)$. D. Using this technique, we show how one can derive a threshold amplitude for perturbations that can lead to turbulence in terms of the parameter called Reynolds number. 6. 1966, Journal of Fluid Mechanics. Plane Couette turbulence in a periodic cell with large aspect ratio (2007-09-11) The stability of nonlinear tertiary solutions in rotating plane Couette flow is examined numerically. To this end a rigid plate, functioning as the moving wall, is propelled through air by the carriage of a towing channel, and the fixed wall is a stationary bench. Jun 22, 2009 · A linear stability analysis of the combined plane Couette and Poiseuille flow of shear-thinning fluid is investigated. 539, 199 – 227. Plane Couette flow of an Oldroyd-B fluid Direct numerical simulation of polymer-induced flow relaminarization of turbulent spanwise-rotating plane Couette flow (RPCF) is reported for the first time. Observations on boundary-layer May 4, 2021 · Couette Flow - Laminar Flow Past Two Plates. Based on a maximum observation time of 20 000 inertial units, the threshold for the appearance of sustained turbulent motion is Re c = 324 ± 1. Note that path lines are found by Published: March 7 2011. Measurements of time-mean velocity, of longitudinal, normal and lateral velocity fluctuation intensities (u, v, w) and of shear stress have been made for four cases of pure shear flow in a flat channel, one of whose walls is stationary while the second moves. The flow is assumed to be laminar and no external forces are taken into account. H. The lower plate is stationary, and the upper plate is moving to the right with velocity \(U\). That work focused on the wall-normal structures of an oblique turbulent band with k x ≈ 0. 2005 Experimental study on mean velocity and turbulence characteristics of plane Couette flow: low-Reynolds-number effects and large longitudinal vortical structure. Experiments indicate, [1, p. 1016/J. This computationally demanding requirement is addressed Aug 1, 1991 · For the viscous compressible plane Couette flow, Glatzel in 1988 [30] has investigated linear stability properties via a normal mode analysis, see also [26, 38]. Couette & Poiseuille Flows. 03. A systems-theoretic approach is used to demonstrate the presence of large input–output amplification through the forced 2D/3C model. 0675 and k z ≈ 0. The stability analysis, restricted to two-dimensional disturbances, is carried out for three illustrative sets of grain and wall properties which correspond to the walls being Aug 21, 2018 · The anisotropic minimum-dissipation (AMD) model for large-eddy simulation (LES) has been recently developed, and here the model performance is examined in stratified plane Couette flow. Fluid Mech. 1971 The structure and stability of turbulent wall layers in rotating channel flow. Fluids 27 , 034101 . , J. The appropriate basic velocity and temperature distributions are perturbed by a small-amplitude normal-mode disturbance. It is shown that the considered equations have several stationary solutions describing different types of laminar flow. The results for the case of Poiseuille flow agree with Lin's results and all flows for which the plate A turbulent–laminar banded pattern in plane Couette flow is studied numerically. The assumptions [1] of the Couette Flow problem are as follows: a. Dec 27, 2022 · The transition of plane Couette flow is numerically investigated in a large computational domain. In fluid dynamics, Couette flow refers to the laminar flow of a viscous fluid in the space between two parallel plates, one of which is moving relative to the other. Kida, “ May 8, 2018 · Drag reduction (DR) in plane Couette flow (PCF) induced by the addition of flexible polymers has been studied via direct numerical simulation (DNS). As a first step in studying the stability of 3D hypersonic Oct 26, 1992 · Modeling the transition to turbulence in plane Couette flow. In particular, we reveal the existence of well-defined transient states around which the dynamics of turbulent retreat is organized. A novel approach is utilized to acquire new experimental information on plane-Couette flow. Merle Potter. Jul 6, 2021 · Self-Similar Profiles for Homoenergetic Solutions of the Boltzmann Equation: Particle Velocity Distribution and Entropy. M. The results indicate that a streamwise constant projection of the Navier–Stokes equations captures salient features of fully turbulent plane Couette flow at low Reynolds numbers. This pattern is statistically steady, is oriented obliquely to the streamwise direction, and has a very large wavelength relative to the gap. We suggest a new scaling law Ec = O ( Re−2. Both walls are effectively smooth. A comparison with previously published direct May 24, 2023 · Turbulent Plane Couette Flow. 1996 Experiments on rotating plane Couette flow. In the present study, we extended the method Jun 1, 2023 · With this approach, we seek to minimize drag in a direct numerical simulation (DNS) of a turbulent minimal flow unit of plane Couette flow at Re = 400 using two slot jets on one wall. By perturbing the flow, a critical Reynolds number has been determined, above which an artificially triggered turbulent spot can persist. , the gentle periodic orbit (the lower branch of a saddle-node pair) found by Kawahara & Kida (J. Similar structural changes are found at 43. Dec 4, 2020 · Definition of Couette Flow: Flow between two surfaces in which one is stagnant and one moving. We are interested in the long time dynamics near Couette flow for the β-plane equation. Jan 13, 2023 · Couliou, M. This Demonstration shows how the Couette flow in a slot develops Initially the fluid and both walls are stationary To start the flow the lower wall is brought to a constant velocity The momentum equation and the noslip boundary condition are where is the kinematic viscosity andThe steadystate solution is the linear Lundbladh, A. We characterize these states in physical space and we propose a projection of Apr 1, 2011 · In plane Couette flow, these emerge from uniform turbulence via a spatio-temporal intermittent process in which localised quasi-laminar gaps randomly nucleate and disappear. The belt and channel walls were transparent making it possible to visualize the flow pattern in the streamwise-spanwise plane by utilizing fluid-suspended The Structure of Turbulent Plane Couette Flow. Above a critical Weissenberg number, a small finite-size perturbation Couette & Poiseuille Flows. Nov 2, 2005 · In plane Couette flow, steady versions of these states are found on two intertwined solution branches describing homoclinic snaking (Schneider et al. In Proceedings of the Sixth European Turbulence Conference Advances in Turbulence VI (ed. g. The velocity components in an unsteady plane flow are given by u=-x 1+ t 2y and v = -. May 1, 1992 · The particle structures observed after stop of flow depend on the preceding shear rate. DOWNLOAD. The onset of transient turbulence in minimal plane Couette flow has been identified theoretically as homoclinic tangency with respect to a simple edge state for the Navier–Stokes equation, i. The results for the case of Poiseuille flow agree with Lin's results and all flows for which the plate velocity exceeds 70% of the maximum velocity of the Aug 3, 2017 · These stability characteristics are remarkably different from those of the plane Poiseuille–Couette flow in a single fluid layer in that the flow becomes absolutely stable when the wall velocity is over 70 % of the maximum velocity of the Poiseuille component of flow. We will consider two types of Couette flows, steady or unsteady, and start with the simpler steady flows. Feb 2, 2011 · The upper plate is of infinite length and infinite width; it moves at constant speed U in its own plane in the direction of the length of the lower plate. Mar 12, 2024 · While the plane Couette flow (PCF) has no linear stability limit, 8 the results of a stability analysis show that the introduction of wall-transpiration can destabilize the flow at finite Reynolds numbers manifesting itself through the generation of streamwise-vortex-like structures. In this paper, we study the linear stability of a plane Couette flow of a power-law fluid. Abstract. Finite-amplitude solutions of plane Couette flow are discovered. (2003) showed that the friction factor could be correlated with both logarithmic and power law relationships. Monkewitz), pp. This type of flow is named in honor Dec 1, 1994 · Keyworde: turbulence; channel flow; second-moment modeling; near-wall closures 1. For the plane Couette flow, there is no stratification of viscosity. These animations show a sequence of simplifications, starting with a flow with close to experimental conditions and ending with a qualitatively similar flow whose dynamics are simpler to analyze. lw dg mq oh oa bj ds fq ls qo