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Journal articles on the topic 'Fluide stratifié'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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1

MARTIN, V. "PROPAGATION D'UNE ONDE HARMONIQUE LINÉAIRE EN MILIEU FLUIDE STRATIFIÉ, SOLUTION ÉLÉMENTAIRE." Le Journal de Physique Colloques 51, no. C2 (1990): C2–353—C2–356. http://dx.doi.org/10.1051/jphyscol:1990285.

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2

James, Guillaume. "Réduction à une variété centrale du problème des ondes progressives en fluide continûment stratifié, dans la limite d'une stratification discontinue." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 327, no. 7 (1998): 699–704. http://dx.doi.org/10.1016/s0764-4442(99)80104-9.

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3

Shogo, Shakouchi, and Uchiyama Tomomi. "1097 MIXING PHENOMENA OF DENSITY STRATIFIED FLUID WITH JET FLOW." Proceedings of the International Conference on Jets, Wakes and Separated Flows (ICJWSF) 2013.4 (2013): _1097–1_—_1097–4_. http://dx.doi.org/10.1299/jsmeicjwsf.2013.4._1097-1_.

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4

MAURER, BENJAMIN D., DIOGO T. BOLSTER, and P. F. LINDEN. "Intrusive gravity currents between two stably stratified fluids." Journal of Fluid Mechanics 647 (March 18, 2010): 53–69. http://dx.doi.org/10.1017/s0022112009993752.

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We present an experimental and numerical study of one stratified fluid propagating into another. The two fluids are initially at rest in a horizontal channel and are separated by a vertical gate which is removed to start the flow. We consider the case in which the two fluids have the same mean densities but have different, constant, non-zero buoyancy frequencies. In this case the fluid with the smaller buoyancy frequency flows into the other fluid along the mid-depth of the channel in the form of an intrusion and two counter-flowing gravity currents of the fluid with the larger buoyancy frequency flow along the top and bottom boundaries of the channel. Working from the available potential energy of the system and measurements of the intrusion thickness, we develop an energy model to describe the speed of the intrusion in terms of the ratio of the two buoyancy frequencies. We examine the role of the stratification within the intrusion and the two gravity currents, and show that this stratification plays an important role in the internal structure of the flow, but has only a secondary effect on the speeds of the exchange flows.

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5

Mahrt, L. "Stably Stratified Atmospheric Boundary Layers." Annual Review of Fluid Mechanics 46, no. 1 (2014): 23–45. http://dx.doi.org/10.1146/annurev-fluid-010313-141354.

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6

Govindarajan, Rama, and Kirti Chandra Sahu. "Instabilities in Viscosity-Stratified Flow." Annual Review of Fluid Mechanics 46, no. 1 (2014): 331–53. http://dx.doi.org/10.1146/annurev-fluid-010313-141351.

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7

El-Khatib, Noaman A. F. "Immiscible Displacement of Non-Newtonian Fluids in Communicating Stratified Reservoirs." SPE Reservoir Evaluation & Engineering 9, no. 04 (2006): 356–65. http://dx.doi.org/10.2118/93394-pa.

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Summary The displacement of non-Newtonian power-law fluids in communicating stratified reservoirs with a log-normal permeability distribution is studied. Equations are derived for fractional oil recovery, water cut, injectivity ratio, and pseudorelative permeability functions, and the performance is compared with that for Newtonian fluids. Constant-injection-rate and constant-total-pressure-drop cases are studied. The effects of the following factors on performance are investigated: the flow-behavior indices, the apparent mobility ratio, the Dykstra-Parsons variation coefficient, and the flow rate. It was found that fractional oil recovery increases for nw &gt; no and decreases for nw &lt; no, as compared with Newtonian fluids. For the same ratio of nw /no, oil recovery increases as the apparent mobility ratio decreases. The effect of reservoir heterogeneity in decreasing oil recovery is more apparent for the case of nw &gt; no . Increasing the total injection rate increases the recovery for nw &gt; no, and the opposite is true for nw &lt; no . It also was found that the fractional oil recovery for the displacement at constant total pressure drop is lower than that for the displacement at constant injection rate, with the effect being more significant when nw &lt; no. Introduction Many of the fluids injected into the reservoir in enhanced-oil-recovery (EOR)/improved-oil-recovery (IOR) processes such as polymer, surfactant, and alkaline solutions may be non-Newtonian; in addition, some heavy oils exhibit non-Newtonian behavior. Flow of non-Newtonian fluids in porous media has been studied mainly for single-phase flow. Savins (1969) presented a comprehensive review of the rheological behavior of non-Newtonian fluids and their flow behavior through porous media. van Poollen and Jargon (1969) presented a finite-difference solution for transient-pressure behavior, while Odeh and Yang (1979) derived an approximate closed-form analytical solution of the problem. Chakrabarty et al. (1993) presented Laplace-space solutions for transient pressure in fractal reservoirs. For multiphase flow of non-Newtonian fluids in porous media, the problem was considered only for single-layer cases. Salman et al. (1990) presented the modifications for the Buckley-Leverett frontal-advance method and for the JBN relative permeability method for non-Newtonian power-law fluid displacing a Newtonian fluid. Wu et al. (1992) studied the displacement of a Bingham non-Newtonian fluid (oil) by a Newtonian fluid (water). Wu and Pruess (1998) introduced a numerical finite-difference solution for displacement of non-Newtonian fluids in linear systems and in a five-spot pattern. Yi (2004) developed a Buckley-Leverett model for displacement by a Newtonian fluid of a fracturing fluid having a Herschel-Bulkley rheological behavior. An iterative procedure was used to obtain a solution of the model. The methods available in the literature to predict linear waterflooding performance in stratified reservoirs are grouped into two categories depending on the assumption of communication or no communication between the different layers. In the case of noncommunicating systems, no vertical crossflow is permitted between the adjacent layers. The Dykstra-Parsons (1950) method is the basis for performance prediction in noncommunicating stratified reservoirs.

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8

Camassa, R., S. Chen, G. Falqui, G. Ortenzi, and M. Pedroni. "Topological selection in stratified fluids: an example from air–water systems." Journal of Fluid Mechanics 743 (March 6, 2014): 534–53. http://dx.doi.org/10.1017/jfm.2013.644.

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AbstractTopologically non-trivial configurations of stratified fluid domains are shown to generate selection mechanisms for conserved quantities. This is illustrated within the special case of a two-fluid system when the density of one of the fluids limits to zero, such as in the case of air and water. An explicit example is provided, demonstrating how the connection properties of the air domain affect total horizontal momentum conservation, despite the apparent translational invariance of the system. The correspondence between this symmetry and the selection process is also studied within the framework of variational principles for stratified ideal fluids.

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9

Lam, Try, Lionel Vincent, and Eva Kanso. "Passive flight in density-stratified fluids." Journal of Fluid Mechanics 860 (December 3, 2018): 200–223. http://dx.doi.org/10.1017/jfm.2018.862.

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Leaves falling in air and marine larvae settling in water are examples of unsteady descents due to complex interactions between gravitational and aerodynamic forces. Understanding passive flight is relevant to many branches of engineering and science, ranging from estimating the behaviour of re-entry space vehicles to analysing the biomechanics of seed dispersion. The motion of regularly shaped objects falling freely in homogenous fluids is relatively well understood. However, less is known about how density stratification of the fluid medium affects passive flight. In this paper, we experimentally investigate the descent of heavy discs in stably stratified fluids for Froude numbers of order 1 and Reynolds numbers of order 1000. We specifically consider fluttering descents, where the disc oscillates as it falls. In comparison with pure water and homogeneous saltwater fluid, we find that density stratification significantly enhances the radial dispersion of the disc, while simultaneously decreasing the vertical descent speed, fluttering amplitude and inclination angle of the disc during descent. We explain the physical mechanisms underlying these observations in the context of a quasi-steady force and torque model. These findings could have significant impact on the design of unpowered vehicles and on the understanding of geological and biological transport where density and temperature variations may occur.

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10

Magnaudet, Jacques, and Matthieu J. Mercier. "Particles, Drops, and Bubbles Moving Across Sharp Interfaces and Stratified Layers." Annual Review of Fluid Mechanics 52, no. 1 (2020): 61–91. http://dx.doi.org/10.1146/annurev-fluid-010719-060139.

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Rigid or deformable bodies moving through continuously stratified layers or across sharp interfaces are involved in a wide variety of geophysical and engineering applications, with both miscible and immiscible fluids. In most cases, the body moves while pulling a column of fluid, in which density and possibly viscosity differ from those of the neighboring fluid. The presence of this column usually increases the fluid resistance to the relative body motion, frequently slowing down its settling or rise in a dramatic manner. This column also exhibits specific dynamics that depend on the nature of the fluids and on the various physical parameters of the system, especially the strength of the density/viscosity stratification and the relative magnitude of inertia and viscous effects. In the miscible case, as stratification increases, the wake becomes dominated by the presence of a downstream jet, which may undergo a specific instability. In immiscible fluids, the viscosity contrast combined with capillary effects may lead to strikingly different evolutions of the column, including pinch-off followed by the formation of a drop that remains attached to the body, or a massive fragmentation phenomenon. This review discusses the flow organization and its consequences on the body motion under a wide range of conditions, as well as potentialities and limitations of available models aimed at predicting the body and column dynamics.

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11

Radko, Timour. "Ship Waves in a Stratified Fluid." Journal of Ship Research 45, no. 01 (2001): 1–12. http://dx.doi.org/10.5957/jsr.2001.45.1.1.

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The far-field asymptotics of the linear waves excited by a moving object are obtained for a fluid consisting of n density layers (n is arbitrary). The structure of the perturbations of free surface and density interfaces is analyzed as a function of the depth of the object and its velocity. The amplitudes of different types of waves are compared. The present model also confirms and generalizes the features of the ship waves that were known previously only for the cases of one-layer and two-layer fluids.

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12

Caulfield, C. P. "Layering, Instabilities, and Mixing in Turbulent Stratified Flows." Annual Review of Fluid Mechanics 53, no. 1 (2021): 113–45. http://dx.doi.org/10.1146/annurev-fluid-042320-100458.

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Understanding how turbulence leads to the enhanced irreversible transport of heat and other scalars such as salt and pollutants in density-stratified fluids is a fundamental and central problem in geophysical and environmental fluid dynamics. This review discusses recent research activity directed at improving community understanding, modeling, and parameterization of the subtle interplay between energy conversion pathways, instabilities, turbulence, external forcing, and irreversible mixing in density-stratified fluids. The conceptual significance of various length scales is highlighted, and in particular, the importance is stressed of overturning or scouring in the formation and maintenance of layered stratifications, i.e., robust density distributions with relatively deep and well-mixed regions separated by relatively thin interfaces of substantially enhanced density gradient.

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13

Venkatesh, L. Prasanna, S. Ganesh S.Ganesh, and K. B. Naidu K.B.Naidu. "Magnetohydrodynamic Oscillatory Flow of Viscoelastic Stratified Fluid Through Porous Medium Between Parallel Vertical Plates." Indian Journal of Applied Research 4, no. 3 (2011): 294–97. http://dx.doi.org/10.15373/2249555x/mar2014/89.

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14

BLOOMFIELD, LYNN J., and ROSS C. KERR. "A theoretical model of a turbulent fountain." Journal of Fluid Mechanics 424 (November 16, 2000): 197–216. http://dx.doi.org/10.1017/s0022112000001907.

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A theoretical model of axisymmetric turbulent fountains in both homogeneous and stratified fluids is developed. The model quantifies the entrainment of ambient fluid into the initial fountain upflow, and the entrainment of fluid from both the upflow and environment into the subsequently formed downflow. Four different variations of the model are considered, comprising the two most reasonable formulations of the body forces acting on the ‘double’ structure and two formulations of the rate of entrainment between the flows. The four model variations are tested by comparing the predictions from each of them with experimental measurements of fountains in homogeneous and stratified fluids.

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15

Ilyasov, A. M., V. N. Kireev, S. F. Urmancheev, and I. Sh Akhatov. "Mathematical modeling of steady stratified flows." Proceedings of the Mavlyutov Institute of Mechanics 3 (2003): 195–207. http://dx.doi.org/10.21662/uim2003.1.014.

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The work is devoted to the analysis of the flow of immiscible liquid in a flat channel and the creation of calculation schemes for determining the flow parameters. A critical analysis of the well-known Two Fluids Model was carried out and a new scheme for the determination of wall and interfacial friction, called the hydraulic approximation in the theory of stratified flows, was proposed. Verification of the proposed approximate model was carried out on the basis of a direct numerical solution of the Navier–Stokes equations for each fluid by a finite-difference method with phase-boundary tracking by the VOF (Volume of Fluid) method. The graphical dependencies illustrating the change in the interfase boundaries of liquids and the averaged over the occupied area of the phase velocities along the flat channel are presented. The results of comparative calculations for two-fluid models are also given, according to the developed model in the hydraulic approximation and direct modeling. It is shown that the calculations in accordance with the hydraulic approximation are more consistent with the simulation results. Thus, the model of hydraulic approximation is the most preferred method for calculating stratified flows, especially in cases of variable volumetric content of liquids.

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16

Tailleux, Rémi. "Available Potential Energy and Exergy in Stratified Fluids." Annual Review of Fluid Mechanics 45, no. 1 (2013): 35–58. http://dx.doi.org/10.1146/annurev-fluid-011212-140620.

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17

BILLANT, PAUL. "Zigzag instability of vortex pairs in stratified and rotating fluids. Part 1. General stability equations." Journal of Fluid Mechanics 660 (July 21, 2010): 354–95. http://dx.doi.org/10.1017/s0022112010002818.

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In stratified and rotating fluids, pairs of columnar vertical vortices are subjected to three-dimensional bending instabilities known as the zigzag instability or as the tall-column instability in the quasi-geostrophic limit. This paper presents a general asymptotic theory for these instabilities. The equations governing the interactions between the strain and the slow bending waves of each vortex column in stratified and rotating fluids are derived for long vertical wavelength and when the two vortices are well separated, i.e. when the radii R of the vortex cores are small compared to the vortex separation distance b. These equations have the same form as those obtained for vortex filaments in homogeneous fluids except that the expressions of the mutual-induction and self-induction functions are different. A key difference is that the sign of the self-induction function is reversed compared to homogeneous fluids when the fluid is strongly stratified: |max| < N (where N is the Brunt–Väisälä frequency and max the maximum angular velocity of the vortex) for any vortex profile and magnitude of the planetary rotation. Physically, this means that slow bending waves of a vortex rotate in the same direction as the flow inside the vortex when the fluid is stratified-rotating in contrast to homogeneous fluids. When the stratification is weaker, i.e. |max| > N, the self-induction function is complex because the bending waves are damped by a viscous critical layer at the radial location where the angular velocity of the vortex is equal to the Brunt–Väisälä frequency.In contrast to previous theories, which apply only to strongly stratified non-rotating fluids, the present theory is valid for any planetary rotation rate and when the strain is smaller than the Brunt–Väisälä frequency: Γ/(2πb2) ≪ N, where Γ is the vortex circulation. Since the strain is small, this condition is met across a wide range of stratification: from weakly to strongly stratified fluids. The theory is further generalized formally to any basic flow made of an arbitrary number of vortices in stratified and rotating fluids. Viscous and diffusive effects are also taken into account at leading order in Reynolds number when there is no critical layer. In Part 2 (Billant et al., J. Fluid Mech., 2010, doi:10.1017/S002211201000282X), the stability of vortex pairs will be investigated using the present theory and the predictions will be shown to be in very good agreement with the results of direct numerical stability analyses. The existence of the zigzag instability and the distinctive stability properties of vortex pairs in stratified and rotating fluids compared to homogeneous fluids will be demonstrated to originate from the sign reversal of the self-induction function.

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18

Kopachevskii, N. D., and D. O. Tsvetkov. "Oscillations of stratified fluids." Journal of Mathematical Sciences 164, no. 4 (2010): 574–602. http://dx.doi.org/10.1007/s10958-010-9764-9.

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19

Limare, Angela, Claude Jaupart, Edouard Kaminski, Loic Fourel, and Cinzia G. Farnetani. "Convection in an internally heated stratified heterogeneous reservoir." Journal of Fluid Mechanics 870 (May 7, 2019): 67–105. http://dx.doi.org/10.1017/jfm.2019.243.

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The Earth’s mantle is chemically heterogeneous and probably includes primordial material that has not been affected by melting and attendant depletion of heat-producing radioactive elements. One consequence is that mantle internal heat sources are not distributed uniformly. Convection induces mixing, such that the flow pattern, the heat source distribution and the thermal structure are continuously evolving. These phenomena are studied in the laboratory using a novel microwave-based experimental set-up for convection in internally heated systems. We follow the development of convection and mixing in an initially stratified fluid made of two layers with different physical properties and heat source concentrations lying above an adiabatic base. For relevance to the Earth’s mantle, the upper layer is thicker and depleted in heat sources compared to the lower one. The thermal structure tends towards that of a homogeneous fluid with a well-defined time constant that scales with $Ra_{H}^{-1/4}$, where $Ra_{H}$ is the Rayleigh–Roberts number for the homogenized fluid. We identified two convection regimes. In the dome regime, large domes of lower fluid protrude into the upper layer and remain stable for long time intervals. In the stratified regime, cusp-like upwellings develop at the edges of large basins in the lower layer. Due to mixing, the volume of lower fluid decreases to zero over a finite time. Empirical scaling laws for the duration of mixing and for the peak temperature difference between the two fluids are derived and allow extrapolation to planetary mantles.

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20

Li, H. Y., Y. F. Yap, J. Lou, and Z. Shang. "Numerical Simulation of Three-Fluid Stratified Flow Using the Level-Set Method." International Journal of Computational Methods 13, no. 06 (2016): 1650033. http://dx.doi.org/10.1142/s021987621650033x.

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Laminar three-fluid stratified flow which involves two different moving interfaces is numerically investigated in a two-dimensional domain in this paper. These interfaces are captured using the level-set method via two level-set functions. The effects of various parameters including Froude number Fr and Weber number We as well as the initial locations of the two interfaces on the evolution of the two interfaces are investigated. It is found that the decrease of We number increases the entry length. For a given volumetric flow rate ratio, the interfacial location at fully developed flow is identical irrespective of the Froude and Weber numbers as well as the initial interfacial location at the inlet. The interfacial locations for fully developed flow show distinct behaviors under different flow rate ratios and viscosity ratios. Increase of volumetric flow rate and viscosity for any one of the fluids increases the pressure drop in the channel. The study of pressure gradient reduction factor (PGRF) shows that it is possible to achieve pressure gradient reduction by introducing less viscous fluids in the transportation of a more viscous fluid.

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21

Moiseev, K. V. "Stratified flow with natural convection weakly stratified fluid." Proceedings of the Mavlyutov Institute of Mechanics 11, no. 1 (2016): 88–93. http://dx.doi.org/10.21662/uim2016.1.013.

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In work on the basis of a mathematical model based on a linear approximation, we study the formation of the layered flows with natural convection, poorly stratified inhomogeneous liquid. The regions of the parameters under which a layered structure of the flow-cell in a side heating.

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22

Tailleux, Rémi. "Thermodynamics/Dynamics Coupling in Weakly Compressible Turbulent Stratified Fluids." ISRN Thermodynamics 2012 (March 8, 2012): 1–15. http://dx.doi.org/10.5402/2012/609701.

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In traditional and geophysical fluid dynamics, it is common to describe stratified turbulent fluid flows with low Mach number and small relative density variations by means of the incompressible Boussinesq approximation. Although such an approximation is often interpreted as decoupling the thermodynamics from the dynamics, this paper reviews recent results and derive new ones that show that the reality is actually more subtle and complex when diabatic effects and a nonlinear equation of state are retained. Such an analysis reveals indeed: (1) that the compressible work of expansion/contraction remains of comparable importance as the mechanical energy conversions in contrast to what is usually assumed; (2) in a Boussinesq fluid, compressible effects occur in the guise of changes in gravitational potential energy due to density changes. This makes it possible to construct a fully consistent description of the thermodynamics of incompressible fluids for an arbitrary nonlinear equation of state; (3) rigorous methods based on using the available potential energy and potential enthalpy budgets can be used to quantify the work of expansion/contraction in steady and transient flows, which reveals that is predominantly controlled by molecular diffusive effects, and act as a significant sink of kinetic energy.

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23

Vaidheeswaran, Avinash, Alejandro Clausse, William D. Fullmer, Raul Marino, and Martin Lopez de Bertodano. "Chaos in wavy-stratified fluid-fluid flow." Chaos: An Interdisciplinary Journal of Nonlinear Science 29, no. 3 (2019): 033121. http://dx.doi.org/10.1063/1.5055782.

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24

Perrot, Manolis, Pierre Delplace, and Antoine Venaille. "Topological transition in stratified fluids." Nature Physics 15, no. 8 (2019): 781–84. http://dx.doi.org/10.1038/s41567-019-0561-1.

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25

Fernando, H. J. S. "Turbulent Mixing in Stratified Fluids." Annual Review of Fluid Mechanics 23, no. 1 (1991): 455–93. http://dx.doi.org/10.1146/annurev.fl.23.010191.002323.

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26

Redondo, J. M., M. A. Sanchez, and I. R. Cantalapiedra. "Turbulent mechanisms in stratified fluids." Dynamics of Atmospheres and Oceans 24, no. 1-4 (1996): 107–15. http://dx.doi.org/10.1016/0377-0265(95)00454-8.

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27

Fatt, Yap Yit, and Afshin Goharzadeh. "Modeling of Particle Deposition in a Two-Fluid Flow Environment." International Journal of Heat and Technology 39, no. 3 (2021): 1001–14. http://dx.doi.org/10.18280/ijht.390338.

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Particle deposition occurs in many engineering multiphase flows. A model for particle deposition in two-fluid flow is presented in this article. The two immiscible fluids with one carrying particles are model using incompressible Navier-Stokes equations. Particles are assumed to deposit onto surfaces as a first order reaction. The evolving interfaces: fluid-fluid interface and fluid-deposit front, are captured using the level-set method. A finite volume method is employed to solve the governing conservation equations. Model verifications are made against limiting cases with known solutions. The model is then used to investigate particle deposition in a stratified two-fluid flow and a cavity with a rising bubble. For a stratified two-fluid flow, deposition occurs more rapidly for a higher Damkholer number but a lower viscosity ratio (fluid without particle to that with particles). For a cavity with a rising bubble, deposition is faster for a higher Damkholer number and a higher initial particle concentration, but is less affected by viscosity ratio.

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28

Colin, Thierry. "Modèles stratifiés en mécanique des fluides géophysiques." Annales mathématiques Blaise Pascal 9, no. 2 (2002): 229–43. http://dx.doi.org/10.5802/ambp.158.

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29

VANNESTE, J., and P. H. HAYNES. "Intermittent mixing in strongly stratified fluids as a random walk." Journal of Fluid Mechanics 411 (May 25, 2000): 165–85. http://dx.doi.org/10.1017/s0022112099008149.

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In strongly stratified geophysical fluids such as the stratosphere and the ocean, the vertical mixing of tracers is largely due to patches of turbulence that are intermittent in time and space. Heuristic models for this type of mixing are studied which extend that of Dewan (1981a). The recognition that, in these models, fluid particles undergo continuous-time random walks allows the derivation of closed-form results for the particle-position statistics. The particle dispersion is shown generally to be diffusive in the long-time limit. However, the early-time, non-diffusive regime is also analysed, since a time-scale estimate indicates its practical importance, in particular for stratospheric mixing.Because the restratification of fluid patches previously homogenized by turbulence takes a finite time, the probability for a fluid region to become turbulent may depend on the time elapsed since it has last been turbulent. This introduces a ‘memory effect’ whose consequences for the tracer mixing are analysed in detail using a simple non-Markovian model.The heuristic models studied allow the large-scale dispersive effects of the turbulent patches to be inferred from the properties of individual patches. This highlights those properties that might most usefully be determined from investigations of the dynamics of the turbulent patches themselves.

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30

Yano, Jun-Ichi, and Joël Sommeria. "Unstably stratified geophysical fluid dynamics." Dynamics of Atmospheres and Oceans 25, no. 4 (1997): 233–72. http://dx.doi.org/10.1016/s0377-0265(96)00478-2.

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31

Linkevich, A., S. Spiridonov, and G. Chechkin. "Homogenization of Stratified Dilatant Fluid." Journal of Mathematical Sciences 202, no. 6 (2014): 849–58. http://dx.doi.org/10.1007/s10958-014-2081-y.

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32

Bhatti, MM, and DQ Lu. "Hydroelastic solitary wave during the head-on collision process in a stratified fluid." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 17 (2019): 6135–48. http://dx.doi.org/10.1177/0954406219861135.

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In this study, head-on collision between hydroelastic solitary waves propagating in a two-layer fluid beneath a thin elastic plate is analytically investigated. The plate structure is modeled using the Euler–Bernoulli beam theory with the effect of compressive stress. We consider that the lower- and upper-layer fluids having different constant densities are incompressible, and the motion is irrotational. The asymptotic series solutions of the resulting highly nonlinear coupled differential equations are deduced with the combination of a method of strained coordinates and the Poincaré–Lighthill–Kuo method. The series solutions obtained are presented up to the third-order approximation. The inclusion of all the emerging parameters is discussed graphically and mathematically against interfacial waves, plate deflection, wave speed, phase shift, maximum run-up amplitude, and the velocity functions. The presence of the elastic plate reveals a decreasing impact on the wave profiles in the upper- and lower-layer fluid. However, the distortion profile shows converse behavior in the upper-layer fluid as compared with the lower-layer fluid. Interfacial wave speed also tends to diminish due to the elastic plate parameter and the density ratio as the wave amplitude is high.

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33

Takeda, Tetsuaki, Hirotaka Isomi, Hiroki Hanazawa, and Hiroki Mizuno. "ICONE19-43586 Effectiveness of natural circulation on molecular diffusion of two component gases in a stratified fluid layer." Proceedings of the International Conference on Nuclear Engineering (ICONE) 2011.19 (2011): _ICONE1943. http://dx.doi.org/10.1299/jsmeicone.2011.19._icone1943_238.

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34

Sahu, Kirti Chandra, and Rama Govindarajan. "Instability of a free-shear layer in the vicinity of a viscosity-stratified layer." Journal of Fluid Mechanics 752 (July 11, 2014): 626–48. http://dx.doi.org/10.1017/jfm.2014.361.

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AbstractThe stability of a mixing layer made up of two miscible fluids, with a viscosity-stratified layer between them, is studied. The two fluids are of the same density. It is shown that unlike other viscosity-stratified shear flows, where species diffusivity is a dominant factor determining stability, species diffusivity variations over orders of magnitude do not change the answer to any noticeable degree in this case. Viscosity stratification, however, does matter, and can stabilize or destabilize the flow, depending on whether the layer of varying velocity is located within the less or more viscous fluid. By making an inviscid model flow with a slope change across the ‘viscosity’ interface, we show that viscous and inviscid results are in qualitative agreement. The absolute instability of the flow can also be significantly altered by viscosity stratification.

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35

Iga, Keita. "Transition modes in stratified compressible fluids." Fluid Dynamics Research 28, no. 6 (2001): 465–86. http://dx.doi.org/10.1016/s0169-5983(01)00011-9.

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36

Zeitlin, Vladimir, François Gay-Balmaz, Evan S. Gawlik, and Mathieu Desbrun. "Variational discretization for rotating stratified fluids." Discrete and Continuous Dynamical Systems 34, no. 2 (2013): 477–509. http://dx.doi.org/10.3934/dcds.2014.34.477.

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37

Mikaelian, Karnig O. "Richtmyer-Meshkov instabilities in stratified fluids." Physical Review A 31, no. 1 (1985): 410–19. http://dx.doi.org/10.1103/physreva.31.410.

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38

Hopfinger, E. J. "Turbulence in stratified fluids: A review." Journal of Geophysical Research 92, no. C5 (1987): 5287. http://dx.doi.org/10.1029/jc092ic05p05287.

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39

Ingel', Lev Kh. "'Negative heat capacity' in stratified fluids." Physics-Uspekhi 45, no. 6 (2002): 637–44. http://dx.doi.org/10.1070/pu2002v045n06abeh001185.

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40

Wagner, Gregory L., William R. Young, and Eric Lauga. "Mixing by microorganisms in stratified fluids." Journal of Marine Research 72, no. 2 (2014): 47–72. http://dx.doi.org/10.1357/002224014813758940.

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41

Matioc, Anca-Voichita. "Exact geophysical waves in stratified fluids." Applicable Analysis 92, no. 11 (2013): 2254–61. http://dx.doi.org/10.1080/00036811.2012.727987.

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42

Ingel', Lev Kh. "'Negative heat capacity' in stratified fluids." Uspekhi Fizicheskih Nauk 172, no. 6 (2002): 691. http://dx.doi.org/10.3367/ufnr.0172.200206d.0691.

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43

Hesla, Todd I., Ferdinand R. Pranckh, and Luigi Preziosi. "Squire’s theorem for two stratified fluids." Physics of Fluids 29, no. 9 (1986): 2808–11. http://dx.doi.org/10.1063/1.865478.

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44

Ingel, L. Kh. "“Negative heat capacity” of stratified fluids." Journal of Experimental and Theoretical Physics Letters 72, no. 10 (2000): 527–29. http://dx.doi.org/10.1134/1.1343157.

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45

Gatica, J. E., H. J. Viljoen, and V. Hlavacek. "Thermal instability of nonlinearly stratified fluids." International Communications in Heat and Mass Transfer 14, no. 6 (1987): 673–86. http://dx.doi.org/10.1016/0735-1933(87)90047-9.

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46

Califano, F. "Turbulent transport in stably stratified fluids." La Rivista del Nuovo Cimento 20, no. 1 (1997): 1–23. http://dx.doi.org/10.1007/bf02878999.

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47

CAMASSA, ROBERTO, CLAUDIA FALCON, JOYCE LIN, RICHARD M. McLAUGHLIN, and NICHOLAS MYKINS. "A first-principle predictive theory for a sphere falling through sharply stratified fluid at low Reynolds number." Journal of Fluid Mechanics 664 (October 12, 2010): 436–65. http://dx.doi.org/10.1017/s0022112010003800.

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Abstract:

A sphere exhibits a prolonged residence time when settling through a stable stratification of miscible fluids due to the deformation of the fluid-density field. Using a Green's function formulation, a first-principles numerically assisted theoretical model for the sphere–fluid coupled dynamics at low Reynolds number is derived. Predictions of the model, which uses no adjustable parameters, are compared with data from an experimental investigation with spheres of varying sizes and densities settling in stratified corn syrup. The velocity of the sphere as well as the deformation of the density field are tracked using time-lapse images, then compared with the theoretical predictions. A settling rate comparison with spheres in dense homogeneous fluid additionally quantifies the effect of the enhanced residence time. Analysis of our theory identifies parametric trends, which are also partially explored in the experiments, further confirming the predictive capability of the theoretical model. The limit of infinite fluid domain is considered, showing evidence that the Stokes paradox of infinite fluid volume dragged by a moving sphere can be regularized by density stratifications. Comparisons with other possible models under a hierarchy of additional simplifying assumptions are also presented.

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48

Ungarish, Marius. "Gravity currents and intrusions of stratified fluids into a stratified ambient." Environmental Fluid Mechanics 12, no. 2 (2011): 115–32. http://dx.doi.org/10.1007/s10652-011-9216-1.

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VANNESTE, JACQUES. "Nonlinear dynamics over rough topography: homogeneous and stratified quasi-geostrophic theory." Journal of Fluid Mechanics 474 (January 10, 2003): 299–318. http://dx.doi.org/10.1017/s0022112002002707.

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Abstract:

The weakly nonlinear dynamics of quasi-geostrophic flows over a one-dimensional, periodic or random, small-scale topography is investigated using an asymptotic approach. Averaged (or homogenized) evolution equations which account for the flow–topography interaction are derived for both homogeneous and continuously stratified quasi-geostrophic fluids. The scaling assumptions are detailed in each case; for stratified fluids, they imply that the direct influence of the topography is confined within a thin bottom boundary layer, so that it is through a new bottom boundary condition that the topography affects the large-scale flow. For both homogeneous and stratified fluids, a single scalar function entirely encapsulates the properties of the topography that are relevant to the large-scale flow: it is the correlation function of the topographic height in the homogeneous case, and a linear transform thereof in the continuously stratified case.Some properties of the averaged equations are discussed. Explicit nonlinear solutions in the form of one-dimensional travelling waves can be found. In the homogeneous case, previously studied by Volosov, they obey a second-order differential equation; in the stratified case on which we focus they obey a nonlinear pseudodifferential equation, which reduces to the Peierls–Nabarro equation for sinusoidal topography. The known solutions to this equation provide examples of nonlinear periodic and solitary waves in continuously stratified fluid over topography.The influence of bottom topography on large-scale baroclinic instability is also examined using the averaged equations: they allow a straightforward extension of Eady's model which demonstrates the stabilizing effect of topography on baroclinic instability.

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Holford, Joanne M., and P. F. Linden. "Turbulent mixing in a stratified fluid." Dynamics of Atmospheres and Oceans 30, no. 2-4 (1999): 173–98. http://dx.doi.org/10.1016/s0377-0265(99)00025-1.

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