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Journal articles on the topic 'Stratified bounded couette flow'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Vijayalakshmi, A.R.*. "STUDY OF EVOLUTION OF LINEARIZED DISTURBANCES IN A STRATIFIED BOUNDED COUETTE FLOW." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 6, no. 6 (2017): 464–71. https://doi.org/10.5281/zenodo.814790.

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Using initial value problem approach the evolution of linearized disturbances in a stratified shear flow is studied. The resulting equation in time posed by using Fourier transform is solved for the Fourier amplitudes for the case of bounded couette flow with point source of the field of transverse velocity and density as the initial distributions. For small values of Brunt frequency the perturbation solutions are obtained.

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2

Zhang, Dongrong. "Shape and scaling of the mean-velocity profile in thermally-stratified plane-Couette flows." Fluid Dynamics Research 53, no. 6 (2021): 065507. http://dx.doi.org/10.1088/1873-7005/ac451a.

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Abstract It has long been known from measurements that buoyant motions cause the mean-velocity profile (MVP) in thermally-stratified, wall-bounded turbulent flows to significantly deviate from its constant-density counterpart. Theoretical analysis has restricted attention to an ‘intermediate layer’ of the MVP, akin to the celebrated ‘log layer’ in the constant-density case. Here, for thermally-stratified plane-Couette flows, we study the shape and scaling of the whole MVP. We elucidate the mechanisms that dictate the shape of the MVP by using the framework of the spectral link (Gioia et al 201

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3

Zhou, Qi, John R. Taylor, and C. P. Caulfield. "Self-similar mixing in stratified plane Couette flow for varying Prandtl number." Journal of Fluid Mechanics 820 (May 4, 2017): 86–120. http://dx.doi.org/10.1017/jfm.2017.200.

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We investigate fully developed turbulence in stratified plane Couette flows using direct numerical simulations similar to those reported by Deusebioet al.(J. Fluid Mech., vol. 781, 2015, pp. 298–329) expanding the range of Prandtl number$Pr$examined by two orders of magnitude from 0.7 up to 70. Significant effects of$Pr$on the heat and momentum fluxes across the channel gap and on the mean temperature and velocity profile are observed. These effects can be described through a mixing length model coupling Monin–Obukhov (M–O) similarity theory and van Driest damping functions. We then employ M–O

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4

Brethouwer, G., Y. Duguet, and P. Schlatter. "Turbulent–laminar coexistence in wall flows with Coriolis, buoyancy or Lorentz forces." Journal of Fluid Mechanics 704 (July 2, 2012): 137–72. http://dx.doi.org/10.1017/jfm.2012.224.

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AbstractDirect numerical simulations of subcritical rotating, stratified and magneto-hydrodynamic wall-bounded flows are performed in large computational domains, focusing on parameters where laminar and turbulent flow can stably coexist. In most cases, a regime of large-scale oblique laminar-turbulent patterns is identified at the onset of transition, as in the case of pure shear flows. The current study indicates that this oblique regime can be shifted up to large values of the Reynolds number $\mathit{Re}$ by increasing the damping by the Coriolis, buoyancy or Lorentz force. We show evidenc

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5

Tuckerman, Laurette S., Matthew Chantry, and Dwight Barkley. "Patterns in Wall-Bounded Shear Flows." Annual Review of Fluid Mechanics 52, no. 1 (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

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6

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

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7

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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8

Lortz, D. "On Rayleigh’s Stability Criterion for Couette Flow." Zeitschrift für Naturforschung A 48, no. 5-6 (1993): 703–4. http://dx.doi.org/10.1515/zna-1993-5-621.

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Abstract The stability problem of a stationary circular flow of an ideal fluid between two coaxial cylinders is considered. It is shown that Rayleigh's circulation criterion is necessary and sufficient for the total kinetic energy of an axisymmetric disturbance to be bounded in time.

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9

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 (2006): 630–37. http://dx.doi.org/10.3795/ksme-b.2006.30.7.630.

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10

Glazunov, A. V., G. V. Zasko, E. V. Mortikov, and Y. M. Nechepurenko. "Optimal disturbances of stably stratified turbulent Couette flow." Доклады Академии наук 487, no. 3 (2019): 257–61. http://dx.doi.org/10.31857/s0869-56524873257-261.

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Direct numerical simulation data of a stably stratified turbulent Couette flow contains two types of organized structures: the rolls that arise at neutral and close to neutral stratification, and the layered structures, which manifest themselves as the static stability increases. It is shown that both types of structures have spatial scales and forms that coincide with the scales and forms of the corresponding optimal disturbances of the simplified linear model of the Couette flow with the same Richardson numbers.

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11

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 (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 occu

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12

Glazunov, A. V., G. V. Zasko, E. V. Mortikov, and Yu M. Nechepurenko. "Optimal Disturbances of Stably Stratified Turbulent Couette Flow." Doklady Physics 64, no. 7 (2019): 308–12. http://dx.doi.org/10.1134/s1028335819070097.

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13

CATON, F., B. JANIAUD, and E. J. HOPFINGER. "Stability and bifurcations in stratified Taylor–Couette flow." Journal of Fluid Mechanics 419 (September 25, 2000): 93–124. http://dx.doi.org/10.1017/s0022112000001348.

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In this article we present new experimental and theoretical results which were obtained for the flow between two concentric cylinders, with the inner one rotating and in the presence of an axial, stable density stratification. This system is characterized by two control parameters: one destabilizing, the rotation rate of the inner cylinder; and the other stabilizing, the stratification.Two oscillatory linear stability analyses assuming axisymmetric flow conditions are presented. First an eigenmode linear stability analysis is performed, using the small-gap approximation. The solutions obtained

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14

Deusebio, Enrico, C. P. Caulfield, and J. R. Taylor. "The intermittency boundary in stratified plane Couette flow." Journal of Fluid Mechanics 781 (September 18, 2015): 298–329. http://dx.doi.org/10.1017/jfm.2015.497.

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We study stratified turbulence in plane Couette flow using direct numerical simulations. Two external dimensionless parameters control the dynamics, the Reynolds number $\mathit{Re}=Uh/{\it\nu}$ and the bulk Richardson number $\mathit{Ri}=g{\it\alpha}_{V}Th/U^{2}$, where $U$ and $T$ are half the velocity and temperature difference between the two walls respectively, $h$ is the half channel depth, ${\it\nu}$ is the kinematic viscosity and $g{\it\alpha}_{V}$ is the buoyancy parameter. We focus on spatio-temporal intermittency due to stratification and we explore the boundary between fully develo

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15

Eaves, T. S., and C. P. Caulfield. "Multiple instability of layered stratified plane Couette flow." Journal of Fluid Mechanics 813 (January 17, 2017): 250–78. http://dx.doi.org/10.1017/jfm.2016.686.

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We present the linear stability properties and nonlinear evolution of two-dimensional plane Couette flow for a statically stable Boussinesq three-layer fluid of total depth$2h$between two horizontal plates driven at constant velocity$\pm \unicode[STIX]{x0394}U$. Initially the three layers have equal depth$2h/3$and densities$\unicode[STIX]{x1D70C}_{0}+\unicode[STIX]{x0394}\unicode[STIX]{x1D70C}$,$\unicode[STIX]{x1D70C}_{0}$and$\unicode[STIX]{x1D70C}_{0}-\unicode[STIX]{x0394}\unicode[STIX]{x1D70C}$, such that$\unicode[STIX]{x1D70C}_{0}\gg \unicode[STIX]{x0394}\unicode[STIX]{x1D70C}$. At finite R

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16

Zasko, Grigory V., Andrey V. Glazunov, Evgeny V. Mortikov, and Yuri M. Nechepurenko. "Large-scale structures in stratified turbulent Couette flow and optimal disturbances." Russian Journal of Numerical Analysis and Mathematical Modelling 35, no. 1 (2020): 37–53. http://dx.doi.org/10.1515/rnam-2020-0004.

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AbstractDirect numerical simulation data of a stratified turbulent Couette flow contains two types of organized structures: rolls arising at neutral and close to neutral stratifications, and layered structures which manifest themselves as static stability increases. It is shown that both types of structures have spatial scales and forms that coincide with the scales and forms of the optimal disturbances of the simplified linear model of the Couette flow with the same Richardson numbers.

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17

Ganapathy, R. "A Note on Oscillatory Couette Flow in a Rotating System." Journal of Applied Mechanics 61, no. 1 (1994): 208–9. http://dx.doi.org/10.1115/1.2901403.

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An alternative solution is proposed for the oscillatory Ekman boundary layer flow bounded by two parallel plates in relative motion (Muzumder, 1991). The solution brings out among other things, the phenomenon of resonance which is of importance in rotating systems.

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18

Ibrahim, Joseph I., Qiang Yang, Patrick Doohan, and Yongyun Hwang. "Phase-space dynamics of opposition control in wall-bounded turbulent flows." Journal of Fluid Mechanics 861 (December 18, 2018): 29–54. http://dx.doi.org/10.1017/jfm.2018.905.

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We investigate the nonlinear phase-space dynamics of plane Couette flow and plane Poiseuille flow under the action of opposition control at low Reynolds numbers in domains close to the minimal unit. In Couette flow, the effect of the control is analysed by focussing on a pair of non-trivial equilibrium solutions. It is found that the control only slightly modifies the statistics, turbulent skin friction and phase-space projection of the lower-branch equilibrium solution, which, in this case, is in fact identical to the edge state. On the other hand, the upper-branch equilibrium solution and me

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19

Facchini, Giulio, Benjamin Favier, Patrice Le Gal, Meng Wang, and Michael Le Bars. "The linear instability of the stratified plane Couette flow." Journal of Fluid Mechanics 853 (August 23, 2018): 205–34. http://dx.doi.org/10.1017/jfm.2018.556.

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We present the stability analysis of a plane Couette flow which is stably stratified in the vertical direction orthogonal to the horizontal shear. Interest in such a flow comes from geophysical and astrophysical applications where background shear and vertical stable stratification commonly coexist. We perform the linear stability analysis of the flow in a domain which is periodic in the streamwise and vertical directions and confined in the cross-stream direction. The stability diagram is constructed as a function of the Reynolds number $Re$ and the Froude number $Fr$, which compares the impo

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20

Olvera, D., and R. R. Kerswell. "Exact coherent structures in stably stratified plane Couette flow." Journal of Fluid Mechanics 826 (August 8, 2017): 583–614. http://dx.doi.org/10.1017/jfm.2017.447.

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The existence of exact coherent structures in stably stratified plane Couette flow (gravity perpendicular to the plates) is investigated over Reynolds–Richardson number ($Re$–$Ri_{b}$) space for a fluid of unit Prandtl number $(Pr=1)$ using a combination of numerical and asymptotic techniques. Two states are repeatedly discovered using edge tracking – EQ7 and EQ7-1 in the nomenclature of Gibson & Brand (J. Fluid Mech., vol. 745, 2014, pp. 25–61) – and found to connect with two-dimensional convective roll solutions when tracked to negative $Ri_{b}$ (the Rayleigh–Bénard problem with shear).

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21

Boubnov, B. M., E. B. Gledzer, E. J. Hopfinger, and P. Orlandi. "Layer formation and transitions in stratified circular Couette flow." Dynamics of Atmospheres and Oceans 23, no. 1-4 (1996): 139–53. http://dx.doi.org/10.1016/0377-0265(95)00419-x.

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22

Patlazhan, S. A. "Interphase stability of stratified viscous liquids in Couette flow." Journal of Experimental and Theoretical Physics Letters 64, no. 5 (1996): 357–62. http://dx.doi.org/10.1134/1.567203.

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23

Shalybkov, D., and G. Rüdiger. "Non-axisymmetric instability of density-stratified Taylor-Couette flow." Journal of Physics: Conference Series 14 (January 1, 2005): 128–37. http://dx.doi.org/10.1088/1742-6596/14/1/016.

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24

Caulfield, C. P., and R. R. Kerswell. "Maximal mixing rate in turbulent stably stratified Couette flow." Physics of Fluids 13, no. 4 (2001): 894–900. http://dx.doi.org/10.1063/1.1351856.

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25

Yang, Jincheng, and Zhiwu Lin. "Linear Inviscid Damping for Couette Flow in Stratified Fluid." Journal of Mathematical Fluid Mechanics 20, no. 2 (2017): 445–72. http://dx.doi.org/10.1007/s00021-017-0328-3.

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26

Godwin, Larry E., Philip M. J. Trevelyan, Takeshi Akinaga, and Sotos C. Generalis. "Transient Dynamics in Counter-Rotating Stratified Taylor–Couette Flow." Mathematics 11, no. 14 (2023): 3250. http://dx.doi.org/10.3390/math11143250.

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This study focuses on the investigation of stratified Taylor–Couette flow (STCF) using non-modal analysis, which has received relatively limited attention compared to other shear flows. The dynamics of perturbations under different temperature conditions are explored, and their patterns of amplification are analyzed. The study highlights the correlation between flow configurations, emphasizing the similarity in transient dynamics despite different speed ratios. The subcritical effects of thermal stratification on disturbance dynamics are examined, considering the interplay between viscous and

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27

VANNESTE, J., and I. YAVNEH. "Unbalanced instabilities of rapidly rotating stratified shear flows." Journal of Fluid Mechanics 584 (July 25, 2007): 373–96. http://dx.doi.org/10.1017/s002211200700643x.

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The linear stability of a rotating stratified inviscid horizontal plane Couette flow in a channel is studied in the limit of strong rotation and stratification. Two dimensionless parameters characterize the flow: the Rossby number ε, defined as the ratio of the shear to the Coriolis frequency and assumed small, and the ratio s of the Coriolis frequency to the buoyancy frequency, assumed to satisfy s ≤ 1. An energy argument is used to show that unstable perturbations must have large, O(ε−1), wavenumbers. This motivates the use of a WKB-approach which, in the first instance, provides an approxim

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28

Ahmadi, Mohamadreza, Giorgio Valmorbida, Dennice Gayme, and Antonis Papachristodoulou. "A framework for input–output analysis of wall-bounded shear flows." Journal of Fluid Mechanics 873 (June 28, 2019): 742–85. http://dx.doi.org/10.1017/jfm.2019.418.

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We propose a new framework to evaluate input–output amplification properties of nonlinear models of wall-bounded shear flows, subject to both square integrable and persistent disturbances. We focus on flows that are spatially invariant in one direction and whose base flow can be described by a polynomial, e.g. streamwise-constant channel, Couette and pipe flows. Our methodology is based on the notion of dissipation inequalities in control theory and provides a single unified approach for examining flow properties such as energy growth, worst-case disturbance amplification and stability to pers

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29

Mazumder, B. S. "An Exact Solution of Oscillatory Couette Flow in a Rotating System." Journal of Applied Mechanics 58, no. 4 (1991): 1104–7. http://dx.doi.org/10.1115/1.2897694.

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An exact solution of oscillatory Ekman boundary layer flow bounded by two horizontal flat plates, one of which is oscillating in its own plane and other at rest, is obtained. The effect of coriolis force on the resultant velocities and shear stresses for steady and unsteady flow has been studied.

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30

SINGH, ANUGRAH, and PRABHU R. NOTT. "Normal stresses and microstructure in bounded sheared suspensions via Stokesian Dynamics simulations." Journal of Fluid Mechanics 412 (June 10, 2000): 279–301. http://dx.doi.org/10.1017/s0022112000008375.

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We report the normal stresses in a non-Brownian suspension in plane Couette flow determined from Stokesian Dynamics simulations. The presence of normal stresses that are linear in the shear rate in a viscometric flow indicates a non-Newtonian character of the suspension, which is otherwise Newtonian. While in itself of interest, this phenomenon is also important because it is believed that normal stresses determine the migration of particles in flows with inhomogeneous shear fields. We simulate plane Couette flow by placing a layer of clear fluid adjacent to one wall in the master cell, which

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31

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

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32

GIBSON, J. F., J. HALCROW, and P. CVITANOVIĆ. "Equilibrium and travelling-wave solutions of plane Couette flow." Journal of Fluid Mechanics 638 (September 29, 2009): 243–66. http://dx.doi.org/10.1017/s0022112009990863.

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We present 10 new equilibrium solutions to plane Couette flow in small periodic cells at low Reynolds number Re and two new travelling-wave solutions. The solutions are continued under changes of Re and spanwise period. We provide a partial classification of the isotropy groups of plane Couette flow and show which kinds of solutions are allowed by each isotropy group. We find two complementary visualizations particularly revealing. Suitably chosen sections of their three-dimensional physical space velocity fields are helpful in developing physical intuition about coherent structures observed i

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33

Wang, Dinghuai. "On the global stability of solutions to the compressible Navier–Stokes equation around the Taylor–Couette flow." Nonlinearity 36, no. 1 (2022): 1–20. http://dx.doi.org/10.1088/1361-6544/ac9f9e.

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Abstract In this paper, we are concerned with the global stability of solutions to the compressible Navier–Stokes equation in a bounded annular domain. The result confirms the Taylor–Couette flow remains stable with small perturbations in physical literatures when the outer and inner cylinders are in a certain small speed.

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34

YAVNEH, IRAD, JAMES C. MCWILLIAMS, and M. JEROEN MOLEMAKER. "Non-axisymmetric instability of centrifugally stable stratified Taylor–Couette flow." Journal of Fluid Mechanics 448 (November 26, 2001): 1–21. http://dx.doi.org/10.1017/s0022112001005109.

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The stability is investigated of the swirling flow between two concentric cylinders in the presence of stable axial linear density stratification, for flows not satisfying the well-known Rayleigh criterion for inviscid centrifugal instability, d(Vr)2/dr < 0. We show by a linear stability analysis that a sufficient condition for non-axisymmetric instability is, in fact, d(V/r)2/dr < 0, which implies a far wider range of instability than previously identified. The most unstable modes are radially smooth and occur for a narrow range of vertical wavenumbers. The growth rate is nearly indepen

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35

Zasko, G. V., and Yu M. Nechepurenko. "Spectral Analysis of Optimal Disturbances of Stratified Turbulent Couette Flow." Computational Mathematics and Mathematical Physics 61, no. 1 (2021): 129–41. http://dx.doi.org/10.1134/s0965542521010103.

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36

Caton, F., B. Janiaud, and E. J. Hopfinger. "Primary and Secondary Hopf Bifurcations in Stratified Taylor-Couette Flow." Physical Review Letters 82, no. 23 (1999): 4647–50. http://dx.doi.org/10.1103/physrevlett.82.4647.

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37

Molemaker, M. Jeroen, James C. McWilliams, and Irad Yavneh. "Instability and Equilibration of Centrifugally Stable Stratified Taylor-Couette Flow." Physical Review Letters 86, no. 23 (2001): 5270–73. http://dx.doi.org/10.1103/physrevlett.86.5270.

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38

GIBSON, J. F., J. HALCROW, and P. CVITANOVIĆ. "Visualizing the geometry of state space in plane Couette flow." Journal of Fluid Mechanics 611 (September 25, 2008): 107–30. http://dx.doi.org/10.1017/s002211200800267x.

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Motivated by recent experimental and numerical studies of coherent structures in wall-bounded shear flows, we initiate a systematic exploration of the hierarchy of unstable invariant solutions of the Navier–Stokes equations. We construct a dynamical 105-dimensional state-space representation of plane Couette flow at Reynolds number Re = 400 in a small periodic cell and offer a new method of visualizing invariant manifolds embedded in such high dimensions. We compute a new equilibrium solution of plane Couette flow and the leading eigenvalues and eigenfunctions of known equilibria at this Re an

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39

Duck, Peter W., Gordon Erlebacher, and M. Yousuff Hussaini. "On the linear stability of compressible plane Couette flow." Journal of Fluid Mechanics 258 (January 10, 1994): 131–65. http://dx.doi.org/10.1017/s0022112094003277.

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The linear stability of compressible plane Couette flow is investigated. The appropriate basic velocity and temperature distributions are perturbed by a small-amplitude normal-mode disturbance. The full small-amplitude disturbance equations are solved numerically at finite Reynolds numbers, and the inviscid limit of these equations is then investigated in some detail. It is found that instabilities can occur, although the corresponding growth rates are often quite small; the stability characteristics of the flow are quite different from unbounded flows. The effects of viscosity are also calcul

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40

BASSOM, ANDREW P., and ANDREW D. GILBERT. "Nonlinear equilibration of a dynamo in a smooth helical flow." Journal of Fluid Mechanics 343 (July 25, 1997): 375–406. http://dx.doi.org/10.1017/s0022112097005880.

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We investigate the nonlinear equilibration of magnetic fields in a smooth helical flow at large Reynolds number Re and magnetic Reynolds number Rm with Re[Gt ]Rm[Gt ]1. We start with a smooth spiral Couette flow driven by boundary conditions. Such flows act as dynamos, that is are unstable to growing magnetic fields; here we disregard purely hydrodynamic instabilities such as Taylor–Couette modes. The dominant feedback from a magnetic field mode is only on the mean flow and this yields a simplified ‘mean-flow system’ consisting of one magnetic mode and the mean flow, which we solve numerically

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41

Chen, Kang Ping. "Interfacial Instabilities in Stratified Shear Flows Involving Multiple Viscous and Viscoelastic Fluids." Applied Mechanics Reviews 48, no. 11 (1995): 763–76. http://dx.doi.org/10.1115/1.3005092.

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This article reviews recent developments in the analysis of interfacial instabilities in systems involving multiple viscous and viscoelastic fluids. The scope of the review is limited to three basic problems in stratified shear flows: plane Poiseuille-Couette flow, circular Poiseuille flow, and gravity-driven film flow down an inclined plane. Important advances in this field of study are summarized and areas deserving further development are discussed.

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42

Healey, Jonathan J. "Fractal sets of neutral curves for stably stratified plane Couette flow." Journal of Fluid Mechanics 872 (June 13, 2019): 697–728. http://dx.doi.org/10.1017/jfm.2019.377.

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The linear stability of plane Couette flow is investigated when the plates are horizontal, and the fluid is stably stratified with a cubic basic density profile. The disturbances are treated as inviscid and diffusion of the density field is neglected. Previous studies have shown that this density profile can develop multiple neutral curves, despite the stable stratification, and the fact that plane Couette flow of homogeneous fluid is stable. It is shown that when the neutral curves are plotted with wave angle on one axis, and location of the density inflexion point on the other axis, they pro

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43

Sherikar, Akshay, and P. J. Disimile. "RANS study of very high Reynolds-number plane turbulent Couette flow." Journal of Mechanical Engineering and Sciences 14, no. 2 (2020): 6663–78. http://dx.doi.org/10.15282/jmes.14.2.2020.10.0522.

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The objective of this study is to expound on the deliverables of a steady-state RANS (Reynolds Averaged Navier Stokes) simulation in one of the simplest flows, Couette flow, at a very high Reynolds number. To that end, a process to perform better grid sensitivity testing is introduced. Three two-equation turbulence models ( , , and ) are compared against each other as well as pitted against formal literature on the subject and core flow velocities, slopes, wall-bounded velocities, shear stresses and kinetic energies are analyzed. applied with enhanced wall functions is consistently found to be

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44

Eldabe, N. T. "Electrohydrodynamic stability of two stratified power law liquids in couette flow." Il Nuovo Cimento B 101, no. 2 (1988): 221–35. http://dx.doi.org/10.1007/bf02828703.

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Waters, N. D., and A. M. Keeley. "The stability of two stratified non-newtonian liquids in couette flow." Journal of Non-Newtonian Fluid Mechanics 24, no. 2 (1987): 161–81. http://dx.doi.org/10.1016/0377-0257(87)85008-5.

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Zasko, Grigory Vladimirovich, Andrey Vasilyevich Glazunov, Evgeny Valeryevich Mortikov, and Yuri Mikhailovich Nechepurenko. "Large-scale structures in stratified turbulent Couette flow and optimal disturbances." Keldysh Institute Preprints, no. 63 (2019): 1–31. http://dx.doi.org/10.20948/prepr-2019-63.

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Normand, Christiane. "Finite gap effects on the instability of stratified circular Couette flow." European Journal of Mechanics - B/Fluids 29, no. 3 (2010): 192–200. http://dx.doi.org/10.1016/j.euromechflu.2010.01.004.

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Vedantam, Sreepriya, Jyeshtharaj B. Joshi, and Sudhir B. Koganti. "Three-Dimensional CFD Simulation of Stratified Two-Fluid Taylor-Couette Flow." Canadian Journal of Chemical Engineering 84, no. 3 (2008): 279–88. http://dx.doi.org/10.1002/cjce.5450840303.

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Alamé, Karim, and Krishnan Mahesh. "Wall-bounded flow over a realistically rough superhydrophobic surface." Journal of Fluid Mechanics 873 (June 28, 2019): 977–1019. http://dx.doi.org/10.1017/jfm.2019.419.

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Abstract:

Direct numerical simulation (DNS) is performed for two wall-bounded flow configurations: laminar Couette flow at $Re=740$ and turbulent channel flow at $Re_{\unicode[STIX]{x1D70F}}=180$, where $\unicode[STIX]{x1D70F}$ is the shear stress at the wall. The top wall is smooth and the bottom wall is a realistically rough superhydrophobic surface (SHS), generated from a three-dimensional surface profile measurement. The air–water interface, which is assumed to be flat, is simulated using the volume-of-fluid (VOF) approach. The two flow cases are studied with varying interface heights $h$ to underst

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PENG, JIE, and KE-QIN ZHU. "Linear instability of two-fluid Taylor–Couette flow in the presence of surfactant." Journal of Fluid Mechanics 651 (March 24, 2010): 357–85. http://dx.doi.org/10.1017/s002211200999406x.

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Abstract:

The effect of an insoluble surfactant on the centrifugal and shear instability of a pair of radially stratified immiscible liquids in the annular gap between concentric two-fluid Taylor–Couette flow is investigated by a normal-mode linear analysis and complementary energy analysis. The interface is assumed to be concentric with the cylinders. The gravitational effects are ignored. Influences of density and viscosity stratification, surface tension, surfactant concentration distribution and Taylor–Couette shearing are considered comprehensively. The instability characteristics due to competitio

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