Journal articles: 'Couette flow'

1

Sanochkin, Yu V. "Thermocapillary couette flow." Fluid Dynamics 22, no. 5 (1988): 798–99. http://dx.doi.org/10.1007/bf01051705.

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2

Lueptow, Richard. "Taylor-Couette flow." Scholarpedia 4, no. 11 (2009): 6389. http://dx.doi.org/10.4249/scholarpedia.6389.

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3

Sarip, Sarip. "FENOMENA ALIRAN TAYLOR COUETTE POISEUILLE DENGAN ALIRAN AKSIAL-RADIAL DI DALAM SILINDER KONSENTRIS." Jurnal Muara Sains, Teknologi, Kedokteran dan Ilmu Kesehatan 5, no. 1 (May 4, 2021): 145. http://dx.doi.org/10.24912/jmstkik.v5i1.9058.

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The filtering process using membrane technology is a modification of Taylor-Couette flow, which is a flow between two concentric cylinders that rotates with axial and radial flow and utilizes the vortex that occurs in Taylor-Couette flow which can increase membrane efficiency. The purpose this study was to determine the phenomenon of the Taylor Couette Poiseuille flow with axial-radial flow in concentric cylinders. The study was usesd a test section in the form of two concentric cylinders, in which the inner cylinder rotates as a membrane while the outer cylinder is stationary with a height of 500 mm, a radius ratio of 0.72; aspect ratio 40 and cylinder gap 12.5 mm. The inner cylinder rotation is set using an inverter to get the expected rotation. The phenomenon of observing flow patterns is done by using digital cameras on different inner cylinder turns. The results showed that changes in the inner cylinder rotations affect the flow pattern of Taylor-Couette that is formed in stages, namely laminar Couette, Taylor-vortex which is characterized by the appearance of paired vortexes, opposite directions that occur along the flow, wavy vortex and turbulant vortex. Changes in membrane porousity also show the effect of Taylor Couette Poiseuille flow phenomena with axial-radial flow which is higher, the transition to vortex occurs at higher Taylor numbers also means that Couette-Poiseuille flow stability increased. Keywords: axial-radial flow; Concentris cylinders; Taylor-Couette flow phenomenon. AbstrakProses penyaringan yang menggunakan teknologi membran merupakan modifikasi dari aliran Taylor-Couette, yaitu aliran diantara dua buah silinder konsentris yang berputar dengan aliran aksial dan radial serta memanfaatkan vortex yang terjadi pada aliran Taylor-Couette yang dapat meningkatkan efisiensi membran. Tujuan penelitian dilakukan untuk mengetahui fenomena aliran Taylor Couette Poiseuille dengan aliran aksial-radial di dalam silinder konsentris. Penelitian menggunakan seksi uji berupa dua silinder konsentris, yang mana silinder bagian dalam berputar sebagai membran sedangkan silinder luar diam dengan tinggi 500 mm, perbandingan radius 0,72; perbandingan aspek 40 dan celah silinder 12,5 mm. Putaran silinder bagian dalam diatur menggunakan inverter untuk mendapatkan putaran yang diharapkan. Fenomena pengamatan pola aliran dilakukan dengan menggunakan camera digital pada putaran silinder bagian dalam yang berbeda-beda. Hasil penelitian menunjukkan bahwa perubahan putaran silinder bagian dalam mempengaruhi pola aliran Taylor-Couette yang terbentuk secara berjenjang yaitu Couette laminar, Taylor-vortex yang ditandai dengan munculnya vortex yang saling berpasangan, berlawanan arah yang terjadi di sepanjang aliran, wavy vortex dan vortex turbulant. Perubahan porousitas membran juga menunjukkan pengaruh fenomena aliran Taylor Couette Poiseuille dengan aliran aksial-radial yang semakin tinggi maka transisi terjadinya vortex terjadi pada bilangan Taylor yang lebih tinggi pula berarti stabilitas aliran Couette-Poiseuille meningkat.

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4

Eagles, P. M. "Ramped Taylor-Couette flow." Physical Review A 31, no. 3 (March 1, 1985): 1955–56. http://dx.doi.org/10.1103/physreva.31.1955.

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5

Babkin, V. A. "Plane Turbulent Couette Flow." Journal of Engineering Physics and Thermophysics 76, no. 6 (November 2003): 1251–54. http://dx.doi.org/10.1023/b:joep.0000012026.19646.c6.

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6

Aristov, S. N., and E. Yu Prosviryakov. "Nonuniform convective Couette flow." Fluid Dynamics 51, no. 5 (September 2016): 581–87. http://dx.doi.org/10.1134/s001546281605001x.

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7

Barenghi, C. F., and C. A. Jones. "Modulated Taylor–Couette flow." Journal of Fluid Mechanics 208 (November 1989): 127–60. http://dx.doi.org/10.1017/s0022112089002806.

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The onset of instability in temporally modulated Taylor-Couette flow is considered. Critical Reynolds numbers have been found by computing Floquet exponents. We find that frequency modulation of the inner cylinder introduces a small destabilization, in agreement with the narrow-gap theory of Hall and some recent experiments of Ahlers. We review the previous computational literature on this problem, and find a number of contradictory results: the source of these discrepancies is examined, and a satisfactory resolution is achieved. Nonlinear axisymmetric calculations on the modulated problem have been done with an initial value code using a spectral method with collocation. The results are compared satisfactorily with Ahlers' measurements.At low modulation frequency, a large destabilization has been observed in past experiments. We show that this cannot be explained on the basis of perfect bifurcation theory: an analysis of the modulated amplitude equation shows that very small imperfections can substantially affect the behaviour at low frequency by giving rise to ‘transient’ vortices at subcritical Reynolds number. We argue that these ‘transient’ vortices are the source of the large destabilization seen in some experiments. Modelling the imperfections in the initial-value code provides additional confirmation of this effect.

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8

PERALTA, C., A. MELATOS, M. GIACOBELLO, and A. OOI. "Superfluid spherical Couette flow." Journal of Fluid Mechanics 609 (July 31, 2008): 221–74. http://dx.doi.org/10.1017/s002211200800236x.

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We solve numerically for the first time the two-fluid Hall–Vinen–Bekarevich–Khalatnikov (HVBK) equations for an He-II-like superfluid contained in a differentially rotating spherical shell, generalizing previous simulations of viscous spherical Couette flow (SCF) and superfluid Taylor–Couette flow. The simulations are conducted for Reynolds numbers in the range 1 × 102≤Re≤3 × 104, rotational shear 0.1≤ΔΩ/Ω≤0.3, and dimensionless gap widths 0.2≤δ≤0.5. The system tends towards a stationary but unsteady state, where the torque oscillates persistently, with amplitude and period determined by δ and ΔΩ/Ω. In axisymmetric superfluid SCF, the number of meridional circulation cells multiplies as Re increases, and their shapes become more complex, especially in the superfluid component, with multiple secondary cells arising for Re > 103. The torque exerted by the normal component is approximately three times greater in a superfluid with anisotropic Hall–Vinen (HV) mutual friction than in a classical viscous fluid or a superfluid with isotropic Gorter–Mellink (GM) mutual friction. HV mutual friction also tends to ‘pinch’ meridional circulation cells more than GM mutual friction. The boundary condition on the superfluid component, whether no slip or perfect slip, does not affect the large-scale structure of the flow appreciably, but it does alter the cores of the circulation cells, especially at lower Re. As Re increases, and after initial transients die away, the mutual friction force dominates the vortex tension, and the streamlines of the superfluid and normal fluid components increasingly resemble each other. In non-axisymmetric superfluid SCF, three-dimensional vortex structures are classified according to topological invariants. For misaligned spheres, the flow is focal throughout most of its volume, except for thread-like zones where it is strain-dominated near the equator (inviscid component) and poles (viscous component). A wedge-shaped isosurface of vorticity rotates around the equator at roughly the rotation period. For a freely precessing outer sphere, the flow is equally strain- and vorticity-dominated throughout its volume. Unstable focus/contracting points are slightly more common than stable node/saddle/saddle points in the viscous component, but not in the inviscid component. Isosurfaces of positive and negative vorticity form interlocking poloidal ribbons (viscous component) or toroidal tongues (inviscid component) which attach and detach at roughly the rotation period.

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Peralta, C., A. Melatos, M. Giacobello, and A. Ooi. "Superfluid spherical Couette flow." Journal of Physics: Conference Series 150, no. 3 (February 1, 2009): 032081. http://dx.doi.org/10.1088/1742-6596/150/3/032081.

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10

Rao, D. P., and R. C. Mehta. "Torsional-Couette-Flow HiGee." Chemical Engineering and Processing - Process Intensification 147 (January 2020): 107722. http://dx.doi.org/10.1016/j.cep.2019.107722.

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11

Chang, Ting-Yueh, Falin Chen, and Min-Hsing Chang. "Stability of plane Poiseuille–Couette flow in a fluid layer overlying a porous layer." Journal of Fluid Mechanics 826 (August 3, 2017): 376–95. http://dx.doi.org/10.1017/jfm.2017.442.

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This paper performs a linear stability analysis to investigate the stability of plane Poiseuille–Couette flow in a fluid layer overlying a porous medium saturated with the same fluid. The effect of superimposed Couette flow on the associated Poiseuille flow in such a two-layer system is explored carefully. The result shows that the presence of Couette flow may destabilize the Poiseuille flow at small depth ratio $\hat{d}$, defined by the ratio of the depth of the fluid layer to the depth of the porous layer, and induce a tri-modal structure to the neutral curves. At moderate $\hat{d}$, the Couette component generally produces a stabilization effect on the flow. When the velocity of the upper moving wall is large enough, a bi-modal behaviour of the neutral curves appears and a shift of instability mode occurs from the long-wave fluid-layer mode to the porous-layer mode with higher wavenumber. 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. The stability of pure Couette flow in such a two-layer system is also studied. It is found that the flow is still absolutely stable with respect to infinitesimal disturbances, which is the same as the stability characteristic of a single-layer plane Couette flow.

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12

Gorla, R. S. R., and T. A. Bartrand. "Couette Flow Heat Loss Model for the Rotary Combustion Engine." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 210, no. 6 (November 1996): 587–96. http://dx.doi.org/10.1243/pime_proc_1996_210_233_02.

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A novel model for predicting heat transfer in a rotary engine was formulated and implemented in a zero-dimensional engine performance model. Results were compared with a commonly used intermittent combustion engine heat transfer model and with results from a three-dimensional simulation of flow within a rotary engine. When squish effects associated with fluid motion within the chamber were included, the Couette flow model reproduced peak heat transfer rates and timing for the peak heat transfer rate was better than that of the commonly used heat transfer model. Previously, rotary engine performance models have employed flat plate type heat transfer correlations. These correlations, though useful, do not model the flow physics in the rotary engine faithfully. Rather than flow over a flat plate, flow in the rotary engine was approximated as turbulent Couette flow. The Couette model was altered to account for centre-line velocities higher than half the rotor speed. There are two advantages to using the Couette flow model. Firstly, as noted, the underlying physics of the Couette flow model is closer to conditions in the rotary engine. Secondly, with the Couette flow model it is possible to differentiate between the rotor and housing heat transfer coefficients.

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13

Wendl, Michael C., and Ramesh K. Agarwal. "Couette Flow Profiles for Two Nonclassical Taylor-Couette Cells." Journal of Fluids Engineering 122, no. 2 (February 7, 2000): 435–38. http://dx.doi.org/10.1115/1.483277.

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Exact solutions for the Couette profile in two nonclassical Taylor-Couette cells are reported. The profiles take the form of eigenfunction expansions, whose convergence rates can be significantly accelerated using a representative convergence acceleration algorithm. Results are thus suitable as initial conditions for high resolution numerical simulations of transition phenomena in these configurations. [S0098-2202(00)02602-X]

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14

Tuckerman, Laurette S., Matthew Chantry, and Dwight Barkley. "Patterns in Wall-Bounded Shear Flows." Annual Review of Fluid Mechanics 52, no. 1 (January 5, 2020): 343–67. http://dx.doi.org/10.1146/annurev-fluid-010719-060221.

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Experiments and numerical simulations have shown that turbulence in transitional wall-bounded shear flows frequently takes the form of long oblique bands if the domains are sufficiently large to accommodate them. These turbulent bands have been observed in plane Couette flow, plane Poiseuille flow, counter-rotating Taylor–Couette flow, torsional Couette flow, and annular pipe flow. At their upper Reynolds number threshold, laminar regions carve out gaps in otherwise uniform turbulence, ultimately forming regular turbulent–laminar patterns with a large spatial wavelength. At the lower threshold, isolated turbulent bands sparsely populate otherwise laminar domains, and complete laminarization takes place via their disappearance. We review results for plane Couette flow, plane Poiseuille flow, and free-slip Waleffe flow, focusing on thresholds, wavelengths, and mean flows, with many of the results coming from numerical simulations in tilted rectangular domains that form the minimal flow unit for the turbulent–laminar bands.

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15

Ali, Khasim, Y. Rajashekhar Reddy, and Chandra Shekar Balla. "Influence of Exponential Space Based Heat Source on Unsteady Couette Nanoliquid Flow." Journal of Nanofluids 11, no. 2 (April 1, 2022): 237–44. http://dx.doi.org/10.1166/jon.2022.1829.

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Present article addresses unsteady Couette flow of nanofluid constricted Couette channel under the impression of exponential space based heat source (ESHS) and temperature based heat source (THS). The novelty of the study is to combine the effects of heat sources of type ESHS and THS to the Couette flow. The governed flow equations are solved employing FEM. The influence of dimensionless quantities such as ESHS, Biot number, variable viscosity and stretching parameter are exposed graphically. From the attained outcomes, it is observed that the profile of temperature rather than the velocity, in the Couette channel is boosted with ESHS and THS parameters.

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16

Rasheed, Amer, Fariha Ali, Muhammad Kamran, Tanvir Akbar, and Sohail Ahmad Khan. "Numerical simulations of heat transfer to a third grade fluid flowing between two parallel plates." Canadian Journal of Physics 96, no. 5 (May 2018): 465–75. http://dx.doi.org/10.1139/cjp-2017-0113.

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This investigation deals with numerical treatment of heat transfer flow of a third grade fluid between two infinite parallel plates subject to no-slip condition at boundary and no-temperature jump. Three flow configurations, Couette, Poiseuille, and plane Couette–Poiseuille, have been discussed. Approximate solutions using Lagrange–Galerkin method to Couette, Poiseuille, and Couette–Poiseuille flow problems are computed and delineated. It has been substantiated that the fluid rheology and heat transfer phenomenon are greatly influenced by the third grade flow parameters, Brinkman number, and pressure gradient. A rigorous mathematical exposition of the numerical scheme is provided. Because no a priori assumptions are made on pertinent flow parameters, apart from those due to thermodynamic stability, the results presented in this investigation are also valid for their large values.

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17

CHERHABILI, A., and U. EHRENSTEIN. "Finite-amplitude equilibrium states in plane Couette flow." Journal of Fluid Mechanics 342 (July 10, 1997): 159–77. http://dx.doi.org/10.1017/s0022112097005661.

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A numerical bifurcation study in plane Couette flow is performed by computing successive finite-amplitude equilibrium states, solutions of the Navier–Stokes equations. Plane Couette flow being linearly stable for all Reynolds numbers, first two-dimensional equilibrium states are computed by extending nonlinear travelling waves in plane Poiseuille flow through the Poiseuille–Couette flow family to the plane Couette flow limit. The resulting nonlinear states are stationary with a spatially localized structure; they are subject to two-dimensional and three-dimensional secondary disturbances. Three-dimensional disturbances dominate the dynamics and three-dimensional stationary equilibrium states bifurcating at criticality on the two-dimensional equilibrium surface are computed. These nonlinear states, periodic in the spanwise direction and spatially localized in the streamwise direction, are computed for Reynolds numbers (based on half the velocity difference between the walls and channel half-width) close to 1000. While a possible relationship between the computed solutions and experimentally observed coherent structures in turbulent plane Couette flow has to be assessed, the present findings reinforce the idea that subcritical transition may be related to the existence of finite-amplitude states which are (unstable) fixed points in a dynamical systems formulation of the Navier–Stokes system.

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18

Zhang, Xingwei, Guojing Zhang, and Hai-Liang Li. "Stability of the compressible viscous fluid around the plane Couette flow in the presence of a transverse uniform magnetic field." Analysis and Applications 17, no. 01 (December 27, 2018): 57–84. http://dx.doi.org/10.1142/s0219530518500100.

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In this paper, we consider the stability of three-dimensional compressible viscous fluid around the plane Couette flow in the presence of a uniform transverse magnetic field and show that the uniform transverse magnetic field has a stabilizing effect on the plane Couette flow. Namely, for a sufficiently large Hartmann number, the compressible viscous plane Couette flow is nonlinear stable for small Mach number and arbitrary Reynolds number so long as the initial perturbation is small enough.

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Huang, Lei, and Yang Cui. "Numerical Analysis of Flow and Heat Transfer Characteristics on Micro Couette Flow." Advanced Materials Research 960-961 (June 2014): 551–54. http://dx.doi.org/10.4028/www.scientific.net/amr.960-961.551.

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In this paper, Couette flow is mainly discussed by studying the general flow behaviour mechanism and importing the velocity slip and temperature jump boundary condition. By analyzing velocity, temperature and pressure profiles at different Knudsen numbers, we concluded that Couette flow is driven by shear stress. The shear stress lies in stream direction. Viscous heat causes the increasing of the fluid’s temperature. With the increasing of Knudsen numbers, the increasing speed increases. It’s in the beginning of transition region that the heat flux has the maximum.

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20

WEI, TIE, PAUL FIFE, and JOSEPH KLEWICKI. "On scaling the mean momentum balance and its solutions in turbulent Couette–Poiseuille flow." Journal of Fluid Mechanics 573 (February 2007): 371–98. http://dx.doi.org/10.1017/s0022112006003958.

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The statistical properties of fully developed planar turbulent Couette–Poiseuille flow result from the simultaneous imposition of a mean wall shear force together with a mean pressure force. Despite the fact that pure Poiseuille flow and pure Couette flow are the two extremes of Couette–Poiseuille flow, the statistical properties of the latter have proved resistant to scaling approaches that coherently extend traditional wall flow theory. For this reason, Couette–Poiseuille flow constitutes an interesting test case by which to explore the efficacy of alternative theoretical approaches, along with their physical/mathematical ramifications. Within this context, the present effort extends the recently developed scaling framework of Wei et al. (2005a) and associated multiscaling ideas of Fife et al. (2005a, b) to fully developed planar turbulent Couette–Poiseuille flow. Like Poiseuille flow, and contrary to the structure hypothesized by the traditional inner/outer/overlap-based framework, with increasing distance from the wall, the present flow is shown in some cases to undergo a balance breaking and balance exchange process as the mean dynamics transition from a layer characterized by a balance between the Reynolds stress gradient and viscous stress gradient, to a layer characterized by a balance between the Reynolds stress gradient (more precisely, the sum of Reynolds and viscous stress gradients) and mean pressure gradient. Multiscale analyses of the mean momentum equation are used to predict (in order of magnitude) the wall-normal positions of the maxima of the Reynolds shear stress, as well as to provide an explicit mesoscaling for the profiles near those positions. The analysis reveals a close relationship between the mean flow structure of Couette–Poiseuille flow and two internal scale hierarchies admitted by the mean flow equations. The averaged profiles of interest have, at essentially each point in the channel, a characteristic length that increases as a well-defined ‘outer region’ is approached from either the bottom or the top of the channel. The continuous deformation of this scaling structure as the relevant parameter varies from the Poiseuille case to the Couette case is studied and clarified.

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BARKLEY, DWIGHT, and LAURETTE S. TUCKERMAN. "Mean flow of turbulent–laminar patterns in plane Couette flow." Journal of Fluid Mechanics 576 (March 28, 2007): 109–37. http://dx.doi.org/10.1017/s002211200600454x.

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A turbulent–laminar banded pattern in plane Couette flow is studied numerically. This pattern is statistically steady, is oriented obliquely to the streamwise direction, and has a very large wavelength relative to the gap. The mean flow, averaged in time and in the homogeneous direction, is analysed. The flow in the quasi-laminar region is not the linear Couette profile, but results from a non-trivial balance between advection and diffusion. This force balance yields a first approximation to the relationship between the Reynolds number, angle, and wavelength of the pattern. Remarkably, the variation of the mean flow along the pattern wavevector is found to be almost exactly harmonic: the flow can be represented via only three cross-channel profiles as U(x, y, z) ≈ U0(y) + Uc(y) cos(kz) + Us(y) sin(kz). A model is formulated which relates the cross-channel profiles of the mean flow and of the Reynolds stress. Regimes computed for a full range of angle and Reynolds number in a tilted rectangular periodic computational domain are presented. Observations of regular turbulent–laminar patterns in other shear flows – Taylor–Couette, rotor–stator, and plane Poiseuille – are compared.

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22

Ghosh, Subham, and Banibrata Mukhopadhyay. "Forced Linear Shear Flows with Rotation: Rotating Couette–Poiseuille Flow, Its Stability, and Astrophysical Implications." Astrophysical Journal 922, no. 2 (November 29, 2021): 161. http://dx.doi.org/10.3847/1538-4357/ac1118.

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Abstract We explore the effect of forcing on the linear shear flow or plane Couette flow, which is also the background flow in the very small region of the Keplerian accretion disk. We show that depending on the strength of forcing and boundary conditions suitable for the systems under consideration, the background plane shear flow, and hence the accretion disk velocity profile, is modified into parabolic flow, which is a plane Poiseuille flow or Couette–Poiseuille flow, depending on the frame of reference. In the presence of rotation, the plane Poiseuille flow becomes unstable at a smaller Reynolds number under pure vertical as well as three-dimensional perturbations. Hence, while rotation stabilizes the plane Couette flow, the same destabilizes the plane Poiseuille flow faster and hence the forced local accretion disk. Depending on the various factors, when the local linear shear flow becomes a Poiseuille flow in the shearing box due to the presence of extra force, the flow becomes unstable even for Keplerian rotation, and hence turbulence will ensue. This helps to resolve the long-standing problem of subcritical transition to turbulence in hydrodynamic accretion disks and the laboratory plane Couette flow.

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Golubkin, Valerii Nikolaevich, and Grigorii Borisovich Sizykh. "ON THE COMPRESSIBLE COUETTE FLOW." TsAGI Science Journal 49, no. 1 (2018): 29–41. http://dx.doi.org/10.1615/tsagiscij.2018026781.

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Goruleva, Larisa S., and Evgeniy Yu Prosviryakov. "Inhomogeneous Couette–Poiseuille shear flow." Procedia Structural Integrity 40 (2022): 171–79. http://dx.doi.org/10.1016/j.prostr.2022.04.023.

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25

Walsh, Thomas J., William T. Wagner, and Russell J. Donnelly. "Stability of modulated Couette flow." Physical Review Letters 58, no. 24 (June 15, 1987): 2543–46. http://dx.doi.org/10.1103/physrevlett.58.2543.

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26

Kuhlmann, H. "Model for Taylor-Couette flow." Physical Review A 32, no. 3 (September 1, 1985): 1703–7. http://dx.doi.org/10.1103/physreva.32.1703.

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Lagha, M., and P. Manneville. "Modeling transitional plane Couette flow." European Physical Journal B 58, no. 4 (August 2007): 433–47. http://dx.doi.org/10.1140/epjb/e2007-00243-y.

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28

Reinke, Peter, Marcus Schmidt, and Tom Beckmann. "The cavitating Taylor-Couette flow." Physics of Fluids 30, no. 10 (October 2018): 104101. http://dx.doi.org/10.1063/1.5049743.

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Kumar, J., C. Lakshmana Rao, and Mehrdad Massoudi. "Couette flow of granular materials." International Journal of Non-Linear Mechanics 38, no. 1 (January 2003): 11–20. http://dx.doi.org/10.1016/s0020-7462(01)00037-3.

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30

Tillmark, Nils, and P. Henrik Alfredsson. "Turbulence in plane Couette flow." Applied Scientific Research 51, no. 1-2 (June 1993): 237–41. http://dx.doi.org/10.1007/bf01082543.

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31

Phan-Thien, N. "Couette flow between corrugated cylinders." ZAMP Zeitschrift f�r angewandte Mathematik und Physik 43, no. 1 (January 1992): 207–15. http://dx.doi.org/10.1007/bf00944747.

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32

Burmasheva, N. V., and E. Yu Prosviryakov. "Inhomogeneous Nusselt–Couette–Poiseuille Flow." Theoretical Foundations of Chemical Engineering 56, no. 5 (October 2022): 662–68. http://dx.doi.org/10.1134/s0040579522050207.

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Mahloul, M., A. Mahamdia, and M. Kristiawan. "The spherical Taylor–Couette flow." European Journal of Mechanics - B/Fluids 59 (September 2016): 1–6. http://dx.doi.org/10.1016/j.euromechflu.2016.04.002.

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34

Andersson, H. I., and B. A. Pettersson. "Modeling plane turbulent Couette flow." International Journal of Heat and Fluid Flow 15, no. 6 (December 1994): 447–55. http://dx.doi.org/10.1016/0142-727x(94)90003-5.

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35

TSUKAHARA, T., N. TILLMARK, and P. H. ALFREDSSON. "Flow regimes in a plane Couette flow with system rotation." Journal of Fluid Mechanics 648 (April 7, 2010): 5–33. http://dx.doi.org/10.1017/s0022112009993880.

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Flow states in plane Couette flow in a spanwise rotating frame of reference have been mapped experimentally in the parameter space spanned by the Reynolds number and rotation rate. Depending on the direction of rotation, the flow is either stabilized or destabilized. The experiments were made through flow visualization in a Couette flow apparatus mounted on a rotating table, where reflected flakes are mixed with the water to visualize the flow. Both short- and long-time exposures have been used: the short-time exposure gives an instantaneous picture of the turbulent flow field, whereas the long-time exposure averages the small, rapidly varying scales and gives a clearer representation of the large scales. A correlation technique involving the light intensity of the photographs made it possible to obtain, in an objective manner, both the spanwise and streamwise wavelengths of the flow structures. During these experiments 17 different flow regimes have been identified, both laminar and turbulent with and without roll cells, as well as states that can be described as transitional, i.e. states that contain both laminar and turbulent regions at the same time. Many of these flow states seem to be similar to those observed in Taylor–Couette flow.

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Wang, G., M. Abbas, and E. Climent. "Modulation of the regeneration cycle by neutrally buoyant finite-size particles." Journal of Fluid Mechanics 852 (August 3, 2018): 257–82. http://dx.doi.org/10.1017/jfm.2018.513.

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Direct numerical simulations of turbulent suspension flows are carried out with the force-coupling method in plane Couette and pressure-driven channel configurations. Dilute to moderately concentrated suspensions of neutrally buoyant finite-size spherical particles are considered when the Reynolds number is slightly above the laminar–turbulent transition. Tests performed with synthetic streaks, in both turbulent channel and Couette flows, show clearly that particles trigger the instability in channel flow whereas the plane Couette flow becomes laminar. Moreover, we have shown that particles have a pronounced impact on pressure-driven flow through a detailed temporal and spatial analysis whereas they have no significant impact on the plane Couette flow configuration. The substantial difference between the two flow configurations is related to the spatial preferential distribution of particles in the large-scale rolls (inactive motion) in Couette flow, whereas they are accumulated in the ejection (active motion) regions in pressure-driven flow. Through investigation of particle modification in two distinct flow configurations, we were able to show the specific response of turbulent structures and the modulation of the fundamental mechanisms composing the regeneration cycle in the buffer layer of the near-wall turbulence. Especially for pressure-driven flow, the particles enhance the lift-up and let it act continuously whereas the particles do not significantly alter the streak breakdown process. The reinforcement of the streamwise vortices is attributed to the vorticity stretching term by the wavy streaks. The smaller and more numerous wavy streaks enhance the vorticity stretching and consequently strengthen the circulation of large-scale streamwise vortices in suspension flow.

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37

HART, J. E. "Ferromagnetic rotating Couette flow: the role of magnetic viscosity." Journal of Fluid Mechanics 453 (February 25, 2002): 21–38. http://dx.doi.org/10.1017/s0022112001006590.

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A theory is constructed for rotating plane Couette flow of ferrofluid that is subject to the field generated by a periodic array of magnets. The system that is analysed contains a substantial lateral magnetic buoyancy, or magnetic gravity, allowing the configuration to be used in experimental studies of stratified shear flows in a connected geometry.However, the spatial variation of the magnetic vector field of the magnet stack leads to magnetically generated wavy flows via the action of flow vorticity on the particle orientation in the suspension. The basic rotating Couette flow instabilities may also be affected by the same mechanism, which is sometimes referred to as rotational or ‘magnetic viscosity’. Theoretical calculations show that the directly excited wavy flows are generally small, for anticipated experimental conditions, except when they resonate with the natural linear instabilities of the Couette flow. A weakly nonlinear analysis is carried out in order to predict the behaviour in these cases. Magnetic effects stabilize the fundamental roll instability of rotating Couette flow by about 10% for a typical laboratory realization.

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38

Yang, R. Y., C. M. Liu, H. H. Hwung, and C. H. Kong. "Evolution Instability and Growth Competition Study on Langmuir Circulation." Journal of Mechanics 26, no. 2 (June 2010): 135–42. http://dx.doi.org/10.1017/s1727719100002999.

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AbstractLangmuir circulation that has been disturbed by a perturbed source in a horizontal Couette flow with a vertical density gradient (i.e., the effective Rayleigh numberR) and horizontal Couette flow is investigated. The evolution of instability developing in the presence of a vertical density gradient influenced by the disturbance at various depths and the horizontal Couette flow is considered near the onset of convection under a moderate rate of shear. We use velocity as the basic variable and solve the pressure Poisson equation in terms of the associated Green function. Growth competition between the longitudinal vortices (Lv) and the transverse vortices (Tv), whose axes are respectively in the direction parallel to and perpendicular to the Couette flow, is investigated by the weakly nonlinear analysis of coupled-mode equations. The results show that the Tv mode is characterized in some range of the effective Rayleigh number, and that the stability is dominated by the Lv mode in the system.

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39

Boubnov, B. M., E. B. Gledzer, and E. J. Hopfinger. "Stratified circular Couette flow: instability and flow regimes." Journal of Fluid Mechanics 292 (June 10, 1995): 333–58. http://dx.doi.org/10.1017/s0022112095001558.

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The stability conditions of the flow between two concentric cylinders with the inner one rotating (circular Couette flow) have been investigated experimentally and theoretically for a fluid with axial, stable linear density stratification. The behaviour of the flow, therefore, depends on the Froude number Fr = Ω/N (where Ω is the angular velocity of the inner cylinder and N is the buoyancy frequency of the fluid) in addition to the Reynolds number and the non-dimensional gap width ε, here equal to 0.275.Experiments show that stratification has a stabilizing effect on the flow with the critical Reynolds number depending on N, in agreement with linear stability theory. The selected, most amplified, vertical wavelength at onset of instability is reduced by the stratification effect and is for the geometry considered only about half the gap width. Furthermore, the observed instability is non-axisymmetric. The resulting vortex motion causes some mixing and this leads to layer formation, clearly visible on shadowgraph images, with the height of the layer being determined by the vertical vortex size. This regime of vertically reduced vortex size is referred to as the S-regime.For larger Reynolds and Froude numbers the role of stratification decreases and the most amplified vertical wavelength is determined by the gap width, giving rise to the usual Taylor vortices (we call this the T-regime). The layers which emerge are determined by these vortices. For relatively small Reynolds number when Fr ≈ 1 the Taylor vortices are stable and the layers have a height h equal to the gap width; for larger Reynolds number or Fr ≈ 2 the Taylor vortices interact in pairs (compacted Taylor vortices, regime CT) and layers of twice the gap width are predominant. Stratification inhibits the azimuthal wavy vortex flow observed in homogeneous fluid. By further increasing the Reynolds number, turbulent motions appear with Taylor vortices superimposed like in non-stratified fluid.The theoretical analysis is based on a linear stability consideration of the axisymmetric problem. This gives bounds of instability in the parameter space (Ω, N) for given vertical and radial wavenumbers. These bounds are in qualitative agreement with experiments. The possibility of oscillatory-type instability (overstability) observed experimentally is also discussed.

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40

Boubnov, B. "Stratified circular Couette flow: instability and flow regimes." International Journal of Multiphase Flow 22 (December 1996): 127. http://dx.doi.org/10.1016/s0301-9322(97)88413-3.

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41

Hoffmann, C., S. Altmeyer, M. Heise, J. Abshagen, and G. Pfister. "Axisymmetric propagating vortices in centrifugally stable Taylor–Couette flow." Journal of Fluid Mechanics 728 (July 11, 2013): 458–70. http://dx.doi.org/10.1017/jfm.2013.283.

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AbstractWe present numerical as well as experimental results of axisymmetric, axially propagating vortices appearing in counter-rotating Taylor–Couette flow below the centrifugal instability threshold of circular Couette flow without additional externally imposed forces. These propagating vortices are periodically generated by the shear flow near the Ekman cells that are induced by the non-rotating end walls. These axisymmetric vortices propagate into the bulk towards mid-height, where they get annihilated by rotating, non-propagating defects. These propagating structures appear via a supercritical Hopf bifurcation from axisymmetric, steady vortices, which have been discovered recently in centrifugally stable counter-rotating Taylor–Couette flow (Abshagen et al., Phys. Fluids, vol. 22, 2010, 021702). In the nonlinear regime of the Hopf bifurcation, contributions of non-axisymmetric modes also appear.

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42

Avila, Kerstin, and Björn Hof. "Second-Order Phase Transition in Counter-Rotating Taylor–Couette Flow Experiment." Entropy 23, no. 1 (December 31, 2020): 58. http://dx.doi.org/10.3390/e23010058.

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In many basic shear flows, such as pipe, Couette, and channel flow, turbulence does not arise from an instability of the laminar state, and both dynamical states co-exist. With decreasing flow speed (i.e., decreasing Reynolds number) the fraction of fluid in laminar motion increases while turbulence recedes and eventually the entire flow relaminarizes. The first step towards understanding the nature of this transition is to determine if the phase change is of either first or second order. In the former case, the turbulent fraction would drop discontinuously to zero as the Reynolds number decreases while in the latter the process would be continuous. For Couette flow, the flow between two parallel plates, earlier studies suggest a discontinuous scenario. In the present study we realize a Couette flow between two concentric cylinders which allows studies to be carried out in large aspect ratios and for extensive observation times. The presented measurements show that the transition in this circular Couette geometry is continuous suggesting that former studies were limited by finite size effects. A further characterization of this transition, in particular its relation to the directed percolation universality class, requires even larger system sizes than presently available.

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Muritala, A. O., S. A. Adio, O. Luqman, O. S. Adebayo, I. J. Akinlolu, and S. O. Obayopo. "Experimental study on effect of magnetic field on flow dynamics of iron (III) oxide (Fe2O3) - water based nanofluid using Taylor Couette flow apparatus." Nigerian Journal of Technology 41, no. 3 (November 2, 2022): 454–63. http://dx.doi.org/10.4314/njt.v41i3.5.

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Experimental investigation of magnetic field effect on Fe3O4-Water based nanofluid undergoing Taylor Couette flow is of great importance since some lubricating systems are replicas of Taylor Couette flow. In this study several experiments were carried out to investigate the influence of nanoparticle concentration on the vortex dynamics of a water based Newtonian nanofluid formulated from Fe2O3 in the presence and absence of magnetic field. Flow dynamics was studied in relation to flow transition, stability, hysteresis and effect of magnetism on these properties. Flow regimes covered in this study include Circular Couette flow, Taylor vortex flow, wavy Vortex flow and Modulated Wavy vortex flow. Bifurcation parameters are nanoparticle volume fraction, inner cylinder rotating frequency and Reynolds number. Experiments were performed on distilled water and Fe3O4-Water based nanofluid to understand its behavior in Taylor Couette apparatus. Critical Reynolds number, Azimuthal wavenumber and travelling waves frequency was recorded for each nanoparticle volume fraction. Power Spectral Analysis of nanofluid flow was carried out using video data from the experiment. It was observed that critical frequency for various transitions decrease with nanoparticle volume fraction for nanofluid in the presence of magnetic field but an inconsistent pattern was observed for nanofluid in the absence of magnetic field. These results show that magnetic field and nanoparticle volume fraction greatly influence the behavior of the flow.

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44

Mendiburu, A. A., L. R. Carrocci, and J. A. Carvalho. "ANALYTICAL SOLUTION FOR TRANSIENT ONEDIMENSIONAL COUETTE FLOW CONSIDERING CONSTANT AND TIME-DEPENDENT PRESSURE GRADIENTS." Revista de Engenharia Térmica 8, no. 2 (December 31, 2009): 92. http://dx.doi.org/10.5380/reterm.v8i2.61921.

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This paperaims to determine the velocity profile, in transient state, for a parallel incompressible flow known as Couette flow. The Navier-Stokes equations were applied upon this flow. Analytical solutions, based in Fourier series and integral transforms, were obtained for the one-dimensional transient Couette flow, taking into account constant and time-dependent pressure gradients acting on the fluid since the same instant when the plate starts it´s movement. Taking advantage of the orthogonality and superposition properties solutions were foundfor both considered cases. Considering a time-dependent pressure gradient, it was found a general solution for the Couette flow for a particular time function. It was found that the solution for a time-dependent pressure gradient includes the solutions for a zero pressure gradient and for a constant pressure gradient.

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45

Hwang, Jong-Yeon, Kyung-Soo Yang, and Dong-Woo Kim. "Numerical Simulation of Stratified Taylor-Couette Flow." Transactions of the Korean Society of Mechanical Engineers B 30, no. 7 (July 1, 2006): 630–37. http://dx.doi.org/10.3795/ksme-b.2006.30.7.630.

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46

Denier, James P., and Andrew P. Bassom. "Neutrally stable wave motions in thermally stratified Poiseuille-Couette flow." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 40, no. 1 (July 1998): 123–44. http://dx.doi.org/10.1017/s0334270000012418.

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AbstractThe influence of thermal buoyancy on neutral wave modes in Poiseuille-Couette flow is considered. We examine the modifications to the asymptotic structure first described by Mureithi, Denier & Stott [16], who demonstrated that neutral wave modes in a strongly thermally stratified boundary layer are localized at the position where the streamwise velocity attains its maximum value. The present work demonstrates that such a flow structure also holds for Poiseuille-Couette flow but that a new flow structure emerges as the position of maximum velocity approaches the wall (and which occurs as the level of shear, present as a consequence of the Couette component of the flow, is increased). The limiting behaviour of these wave modes is discussed thereby allowing us to identify the parameter regime appropriate to the eventual restabilization of the flow at moderate levels of shear.

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47

WILLIS, A. P., and C. F. BARENGHI. "Hydromagnetic Taylor–Couette flow: wavy modes." Journal of Fluid Mechanics 472 (November 30, 2002): 399–410. http://dx.doi.org/10.1017/s0022112002002409.

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We investigate magnetic Taylor–Couette flow in the presence of an imposed axial magnetic field. First we calculate nonlinear steady axisymmetric solutions and determine how their strength depends on the applied magnetic field. Then we perturb these solutions to find the critical Reynolds numbers for the appearance of wavy modes, and the related wave speeds, at increasing magnetic field strength. We find that values of imposed magnetic field which alter only slightly the transition from circular-Couette flow to Taylor-vortex flow, can shift the transition from Taylor-vortex flow to wavy modes by a substantial amount. The results are compared to those for onset in the absence of a magnetic field.

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48

Gul, M., G. E. Elsinga, and J. Westerweel. "Experimental investigation of torque hysteresis behaviour of Taylor–Couette Flow." Journal of Fluid Mechanics 836 (December 12, 2017): 635–48. http://dx.doi.org/10.1017/jfm.2017.809.

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This paper describes the hysteresis in the torque for Taylor–Couette flow in the turbulent flow regime for different shear Reynolds numbers, aspect ratios and boundary conditions. The hysteresis increases with decreasing shear Reynolds number and becomes more pronounced as the aspect ratio is increased from 22 to 88. Measurements conducted in two different Taylor–Couette set-ups depict the effect of the flow conditions at the ends of the cylinders on the flow hysteresis by showing reversed hysteresis behaviour. In addition, the flow structure in the different branches of the hysteresis loop was investigated by means of stereoscopic particle image velocimetry. The results show that the dominant flow structures differ in shape and magnitude depending on the branch of the hysteresis loop. Hence, it can be concluded that the geometry could have an effect on the hysteresis behaviour of turbulent Taylor–Couette flow, but its occurrence is related to a genuine change in the flow dynamics.

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Gibson, J. F., and T. M. Schneider. "Homoclinic snaking in plane Couette flow: bending, skewing and finite-size effects." Journal of Fluid Mechanics 794 (April 6, 2016): 530–51. http://dx.doi.org/10.1017/jfm.2016.177.

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Invariant solutions of shear flows have recently been extended from spatially periodic solutions in minimal flow units to spatially localized solutions on extended domains. One set of spanwise-localized solutions of plane Couette flow exhibits homoclinic snaking, a process by which steady-state solutions grow additional structure smoothly at their fronts when continued parametrically. Homoclinic snaking is well understood mathematically in the context of the one-dimensional Swift–Hohenberg equation. Consequently, the snaking solutions of plane Couette flow form a promising connection between the largely phenomenological study of laminar–turbulent patterns in viscous shear flows and the mathematically well-developed field of pattern-formation theory. In this paper we present a numerical study of the snaking solutions of plane Couette flow, generalizing beyond the fixed streamwise wavelength of previous studies. We find a number of new solution features, including bending, skewing and finite-size effects. We establish the parameter regions over which snaking occurs and show that the finite-size effects of the travelling wave solution are due to a coupling between its fronts and interior that results from its shift-reflect symmetry. A new winding solution of plane Couette flow is derived from a strongly skewed localized equilibrium.

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Xue, Ya Bo, Zhen Qiang Yao, and Cang Xue Li. "Structural Drag Reduction in Taylor-Couette Flow." Applied Mechanics and Materials 300-301 (February 2013): 285–89. http://dx.doi.org/10.4028/www.scientific.net/amm.300-301.285.

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Energy consumption of fluid machinery, especially for canned motor pump that rotates in water, increases sharply as radius or speed increases. It not only leads to low efficiency of the pump, but also probably suppresses heat transfer between stator winding and water. According to researches on Taylor-Couette flow, dimensionless torque decreases obviously when both cylinders rotate in certain speed ratio. It inspires us to propose a structural design to realizing drag reduction in Taylor-Couette flow system, which has simple structure but huge potential.

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Journal articles on the topic 'Couette flow'

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