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1

Pesnell, W. D. "Brunt-Vaisala frequency and semiconvection." Astrophysical Journal 301 (February 1986): 204. http://dx.doi.org/10.1086/163887.

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2

Wüst, Sabine, Michael Bittner, Jeng-Hwa Yee, Martin G. Mlynczak, and James M. Russell III. "Variability of the Brunt–Väisälä frequency at the OH* layer height." Atmospheric Measurement Techniques 10, no. 12 (2017): 4895–903. http://dx.doi.org/10.5194/amt-10-4895-2017.

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Abstract. In and near the Alpine region, the most dense subnetwork of identical NDMC (Network for the Detection of Mesospheric Change, https://www.wdc.dlr.de/ndmc/) instruments can be found: five stations are equipped with OH* spectrometers which deliver a time series of mesopause temperature for each cloudless or only partially cloudy night. These measurements are suitable for the derivation of the density of gravity wave potential energy, provided that the Brunt–Väisälä frequency is known. However, OH* spectrometers do not deliver vertically resolved temperature information, which is necessa
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3

Dolas, Prakash M., and Karanam Kishore Kumar. "Retrieval of static stability parameter from the radiosonde/rawinsonde ascent rate profiles: a wavelet approach." Annales Geophysicae 27, no. 2 (2009): 547–53. http://dx.doi.org/10.5194/angeo-27-547-2009.

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Abstract. In the present communication a novel method is presented to derive the altitude profile of Brunt-Väisälä period from the ascent rate profile of sounding balloons. The basic premise of the present method is that the oscillations in the ascent rate of the balloon will have the signature of Brunt-Väisälä frequency, which can be retrieved by using sophisticated spectral tools. We employ wavelet transforms to arrive at the Brunt-Väisälä period profile. Comparison of retrieved Brunt-Väisälä periods with the values derived from the temperature data available from the same radiosonde ascent
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4

Haverkort, J. W., H. J. de Blank, and B. Koren. "The Brunt–Väisälä frequency of rotating tokamak plasmas." Journal of Computational Physics 231, no. 3 (2012): 981–1001. http://dx.doi.org/10.1016/j.jcp.2011.03.016.

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5

Millard, R. C., W. B. Owens, and N. P. Fofonoff. "On the calculation of the Brunt-Väisäla frequency." Deep Sea Research Part A. Oceanographic Research Papers 37, no. 1 (1990): 167–81. http://dx.doi.org/10.1016/0198-0149(90)90035-t.

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6

Weber, Jan Erik H., Kai H. Christensen, and Göran Broström. "Stokes Drift in Internal Equatorial Kelvin Waves: Continuous Stratification versus Two-Layer Models." Journal of Physical Oceanography 44, no. 2 (2014): 591–99. http://dx.doi.org/10.1175/jpo-d-13-0135.1.

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Abstract The Stokes drift in long internal equatorial Kelvin waves is investigated theoretically for an inviscid fluid of constant depth. While the Stokes drift in irrotational waves is positive everywhere in the fluid, that is, directed along the phase velocity, this is not always the case for internal Kelvin waves, which possess vorticity. For constant Brunt–Väisälä frequency, the Stokes drift in such waves is sinusoidal in the vertical with a negative value in the middle of the layer for the first baroclinic mode. For a pycnocline that is typical of the equatorial Pacific, this study finds
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7

Doake, C. S. M., H. F. J. Corr, and A. Jenkins. "Polarization of radio waves transmitted through Antarctic ice shelves." Annals of Glaciology 34 (2002): 165–70. http://dx.doi.org/10.3189/172756402781817572.

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AbstractThe polarization behaviour of radar waves transmitted through two Antarctic ice shelves has been investigated using a step frequency radar with a centre frequency of 300 MHz and a bandwidth of 150 MHz. One site was on Brunt Ice Shelf at a site near Halley station, and 17 sites were on George VI Ice Shelf near the southern ice front. Birefringence in the ice dominated the behaviour on Brunt Ice Shelf, where the anisotropy in the effective permittivity was found to be about 0.14%. On George VI Ice Shelf, a highly anisotropic reflecting surface was the controlling feature, suggesting a fl
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8

Grandoni, Giovanni, Maria Cristina Mammarella, and Maurizio Favaron. "CLIMATOLOGY OF THE BRUNT-VÄISÄLÄ FREQUENCY OVER MILAN, ITALY." GEOGRAPHY, ENVIRONMENT, SUSTAINABILITY 3, no. 1 (2010): 16–24. http://dx.doi.org/10.24057/2071-9388-2010-3-1-16-24.

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9

Grandoni, Giovanni, Maria Cristina Mammarella, and Maurizio Favaron. "CLIMATOLOGY OF THE BRUNT-VÄISÄLÄ FREQUENCY OVER MILAN, ITALY." GEOGRAPHY, ENVIRONMENT, SUSTAINABILITY 3, no. 1 (2010): 16–24. http://dx.doi.org/10.15356/2071-9388_01v03_2010_02.

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10

Barnes, G., and P. S. Cally. "Frequency Dependent Ray Paths in Local Helioseismology." Publications of the Astronomical Society of Australia 18, no. 3 (2001): 243–51. http://dx.doi.org/10.1071/as01040.

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AbstractThe surface of the Sun is continually oscillating due to sound waves encroaching on it from the interior. Measurements of the surface velocity are used to infer some of the properties of the regions through which the sound waves have propagated. Traditionally, this has been done by using a modal decomposition of the surface disturbances. However, the use of ray descriptions, in the form of acoustic holography or time–distance helioseismology, provides an alternative approach which may reveal more detailed information about the properties of local phenomena such as sunspots and active r
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11

Ryndina, V. V. "The recovery of the Brunt–Väisälä frequency using dispersion curves." Journal of Applied Mathematics and Mechanics 70, no. 2 (2006): 245–50. http://dx.doi.org/10.1016/j.jappmathmech.2006.06.006.

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12

Jones, R. Michael. "On using ambient internal waves to monitor Brunt-Väisälä frequency." Journal of Geophysical Research 100, no. C6 (1995): 11005. http://dx.doi.org/10.1029/95jc00139.

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13

Houry, Sabine, Eric Dombrowsky, Piepre De Mey, and Jean-Francois Minster. "Brunt-Väisälä Frequency and Rossby Radii in the South Atlantic." Journal of Physical Oceanography 17, no. 10 (1987): 1619–26. http://dx.doi.org/10.1175/1520-0485(1987)017<1619:bvfarr>2.0.co;2.

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14

Passaggia, Pierre-Yves, Patrice Meunier, and Stéphane Le Dizès. "Response of a stratified boundary layer on a tilted wall to surface undulations." Journal of Fluid Mechanics 751 (June 25, 2014): 663–84. http://dx.doi.org/10.1017/jfm.2014.296.

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AbstractThe structure of a stratified boundary layer over a tilted bottom with a small streamwise undulation is studied theoretically and numerically. We show that the tilt of the boundary can induce strong density variations and wall-transverse velocities in the critical layer when the frequency of the forcing by the topography $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}kU(z_c)$ is equal to the transverse Brunt–Väisälä frequ
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15

Bukatov, А. A., N. M. Solovei, and E. A. Pavlenko. "Climate Trend Estimation of the Powell Basin Hydrophysical Characteristics." Океанология 63, no. 4 (2023): 539–47. http://dx.doi.org/10.31857/s0030157423040020.

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The trend assessment of the dynamic state of the Powell Basin waters in the Weddell Sea was made on the basis of the hydrological data of the 79th cruise of the R/V AkademikMstislavKeldysh (January 16–February 6, 2020) and the World Ocean Database-2018 data for January-February from 1975 to 2020. At each node of the quarter-degree grid, a linear trend was constructed for the calculated values of the maximum buoyancy frequency and the maximum amplitude of the vertical component of the internal wave velocity. It is shown that the southwestern and northwestern parts of the Powell Basin differ sig
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16

Zakinyan, Robert G., Alaa H. Kamil, Vladislav A. Svetlichny, and Arthur R. Zakinyan. "On the Frequency of Internal Gravity Waves in the Atmosphere: Comparing Theory with Observations." Atmosphere 16, no. 1 (2025): 73. https://doi.org/10.3390/atmos16010073.

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This paper is devoted to the dynamics of the propagation of non-planetary scale internal gravity waves (IGWs) in the stratified atmosphere. We consider the system of equations describing internal gravity waves in three approximations: (1) the incompressible fluid approximation, (2) the anelastic gas (compressible fluid) approximation, and (3) a new approximation called the non-Boussinesq gas approximation. For each approximation, a different dispersion relation is given, from which it follows that the oscillation frequency of internal gravity waves depends on the direction of propagation, the
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17

Bradley, P. A., та J. A. Guzik. "Suppressing g Modes in Shell Hydrogen-Burning δ Scuti Stars". International Astronomical Union Colloquium 176 (2000): 444. http://dx.doi.org/10.1017/s0252921100058346.

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For shell hydrogen-burning δ Scuti stars, many more unstable modes are predicted than are observed. For example, for 4 CVn and δ Scuti itself, only 18 and 6 modes are observed, respectively, whereas several hundred ℓ = 0, 1 and 2 rotationally-split modes are predicted. The predicted modes have a mixed p- and g-mode character, with many g-type nodes present in the H-exhausted core and shell H-burning region, where the Brunt-Väisälä frequency is large.Here we explore whether the predicted frequency spectrum can be made to agree better with the observed spectrum if the g-mode character of the pul
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18

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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19

VORONOVICH, ALEXANDER G. "Strong solitary internal waves in a 2.5-layer model." Journal of Fluid Mechanics 474 (January 10, 2003): 85–94. http://dx.doi.org/10.1017/s0022112002002744.

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A theoretical model for internal solitary waves for stratification consisting of two layers of incompressible fluid with a constant Brunt–Väisälä frequency and a density jump at the boundary between layers (‘2.5-layer model’) is presented. The equation of motion for solitary waves in the case of a constant Brunt–Väisälä frequency N is linear, and nonlinearity appears due only to boundary conditions between layers. This allows one to obtain in the case of long waves a single ordinary differential equation for an internal solitary wave profile. In the case of nearly homogeneous layers the solito
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20

Tsuda, Toshitaka, Thomas E. VanZandt, Masahiro Mizumoto, Susumu Kato, and Shoichiro Fukao. "Spectral analysis of temperature and Brunt-Väisälä frequency fluctuations observed by radiosondes." Journal of Geophysical Research 96, no. D9 (1991): 17265. http://dx.doi.org/10.1029/91jd01944.

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21

Ratnasingam, R. P., P. V. F. Edelmann, D. M. Bowman, and T. M. Rogers. "On the Geometry of the Near-core Magnetic Field in Massive Stars." Astrophysical Journal Letters 977, no. 1 (2024): L30. https://doi.org/10.3847/2041-8213/ad95f8.

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Abstract It is well-known that the cores of massive stars sustain a stellar dynamo with a complex magnetic field configuration. However, the same cannot be said for the field's strength and geometry at the convective–radiative boundary, which are crucial when performing asteroseismic inference. In this Letter, we present 3D magnetohydrodynamic (MHD) simulations of a 7 M ⊙ mid-main-sequence star, with particular attention given to the convective–radiative boundary in the near-core region. Our simulations reveal that the toroidal magnetic field is significantly stronger than the poloidal field i
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22

ERSHKOVICH, ALEXANDER I., and PETER L. ISRAELEVICH. "On the MHD analogue of the Brunt/Väisälä frequency in a magnetized plasma." Journal of Plasma Physics 64, no. 2 (2000): 195–200. http://dx.doi.org/10.1017/s0022377800008588.

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The MHD analogue of the Brunt/Väisälä frequency, NB, in a magnetized, ideally conducting plasma is obtained, with the vertical component of the magnetic field, Br, taken into account. The magnetic field vector (Br, Bθ, Bϕ) is assumed to satisfy the condition B·∇B ≈ BrdB/dr, which holds in many cases of interest. The frequency NB happens to depend, generally speaking, on the magnetic field orientation relative to the direction of gravity. However, for an isentropic gas, the convective instability criterion is governed by the magnetic field strength (rather than by the orientation of B). In gene
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23

Hatta, Yoshiki. "Semi-analytical Expression of G-mode Period Spacing: The Case of Brunt–Väisälä Frequency with Not a Jump but a Ramp." Astrophysical Journal 950, no. 2 (2023): 165. http://dx.doi.org/10.3847/1538-4357/acd4b9.

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Abstract To decipher complex patterns of gravity-mode period spacings observed for intermediate-mass main-sequence stars is an important step toward a better understanding of the structure and dynamics in the deep radiative region of the stars. In this study, we apply the JWKB approximation to derive a semi-analytical expression of the g-mode period spacing pattern, for which the gradient in the Brunt–Väisälä frequency is taken into account. The formulation includes the term P −1 B ⋆, where P and B ⋆ represent the g-mode period and degree of the structural variation, the latter of which especi
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24

Wüst, Sabine, Michael Bittner, Jeng-Hwa Yee, Martin G. Mlynczak, and James M. Russell III. "Variability of the Brunt–Väisälä frequency at the OH<sup>∗</sup>-airglow layer height at low and midlatitudes." Atmospheric Measurement Techniques 13, no. 11 (2020): 6067–93. http://dx.doi.org/10.5194/amt-13-6067-2020.

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Abstract. Airglow spectrometers, as they are operated within the Network for the Detection of Mesospheric Change (NDMC; https://ndmc.dlr.de, last access: 1 November 2020), for example, allow the derivation of rotational temperatures which are equivalent to the kinetic temperature, local thermodynamic equilibrium provided. Temperature variations at the height of the airglow layer are, amongst others, caused by gravity waves. However, airglow spectrometers do not deliver vertically resolved temperature information. This is an obstacle for the calculation of the density of gravity wave potential
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25

Hirotani, Kouichi, and Shoji Kato. "Absorption of Waves in Accretion Disks. I. Resonance at the Radius Where the Wave Frequency Matches the Vertical Brunt-Väisälä Frequency." Publications of the Astronomical Society of Japan 47, no. 5 (1995): 645–52. https://doi.org/10.1093/pasj/47.5.645.

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Abstract The propagation properties of internal gravity waves in a rotating torus are considered. The oscillations are assumed to be axisymmetric and adiabatic. In the short-wavelength limit in the vertical direction, the gravity waves whose frequency is ω are confined in the region in which [ω – N(r)][ω – κ(r)] &amp;lt; 0 holds, where N and κ are the Brunt-Väisälä frequency for vertical displacement and the epicyclic frequency, respectively, and r is the radial coordinate. We find that the gravity waves are resonantly absorbed to heat the plasma at the radius where ω equals N(r). This radius
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26

Brown, S. N., and H. K. Cheng. "The response of a stratified rapidly rotating flow to a pulsating topography." Journal of Fluid Mechanics 177 (April 1987): 359–79. http://dx.doi.org/10.1017/s0022112087000995.

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A theoretical study is made of the disturbance produced by an oscillating, shallow topographical feature in horizontal relative motion in a rapidly rotating, linearly stratified, unbounded fluid. For a sinusoidal surface oscillation, an explicit solution is obtained in terms of wavenumber spectra of the topography. The oscillating far-field behaviour is shown to consist of a large-scale, cyclonic component above the topography and a system of inertial waves behind the caustics, which spreads predominantly in the downstream direction. A significant property of the flow field is its dependence o
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27

Candelier, Fabien, Rabah Mehaddi, and Olivier Vauquelin. "The history force on a small particle in a linearly stratified fluid." Journal of Fluid Mechanics 749 (May 15, 2014): 184–200. http://dx.doi.org/10.1017/jfm.2014.219.

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AbstractThe hydrodynamic force experienced by a small spherical particle undergoing an arbitrary time-dependent motion in a weakly density-stratified fluid is investigated theoretically. The study is carried out under the Oberbeck–Boussinesq approximation and in the limit of small Reynolds and small Péclet numbers. The force acting on the particle is obtained by using matched-asymptotic expansions. In this approach, the small parameter is given by $a/\ell $, where $a$ is the particle radius and $\ell $ is the stratification length, as defined by Ardekani &amp; Stocker (Phys. Rev. Lett., vol. 1
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28

Pinçon, C., M. Takata, and B. Mosser. "Evolution of the gravity offset of mixed modes in RGB stars." Astronomy & Astrophysics 626 (June 2019): A125. http://dx.doi.org/10.1051/0004-6361/201935327.

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Context.Observations of mixed modes in evolved low-mass stars enable us to probe the properties of not only the outer envelope of these stars, but also their deep layers. Among the seismic parameters associated with mixed modes, the gravity offset, denoted withεg, is expected to reveal information on the boundaries of the inner buoyancy resonant cavity. This parameter was recently measured for hundreds of stars observed by theKeplersatellite and its value was shown to change during evolution.Aims.In this article, we theoretically investigate the reasons for such a variation in terms of structu
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29

Van Buren, Tyler, Owen Williams, and Alexander J. Smits. "Turbulent boundary layer response to the introduction of stable stratification." Journal of Fluid Mechanics 811 (December 13, 2016): 569–81. http://dx.doi.org/10.1017/jfm.2016.775.

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The response of an initially neutral rough-wall turbulent boundary layer to a change in wall temperature is investigated experimentally. The change causes a localized peak in stable stratification that diffuses and moves away from the wall with downstream distance. The streamwise and wall-normal components of turbulent velocity fluctuations are damped at similar rates, even though the stratification only directly impacts the wall-normal component. The Reynolds shear profiles reveal the growth of an internal layer that scales approximately with the bulk Brunt–Väisälä frequency.
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30

Shapiro, Alan, Evgeni Fedorovich, and Stefan Rahimi. "A Unified Theory for the Great Plains Nocturnal Low-Level Jet." Journal of the Atmospheric Sciences 73, no. 8 (2016): 3037–57. http://dx.doi.org/10.1175/jas-d-15-0307.1.

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Abstract A theory is presented for the Great Plains low-level jet in which the jet emerges in the sloping atmospheric boundary layer as the nocturnal phase of an oscillation arising from diurnal variations in turbulent diffusivity (Blackadar mechanism) and surface buoyancy (Holton mechanism). The governing equations are the equations of motion, mass conservation, and thermal energy for a stably stratified fluid in the Boussinesq approximation. Attention is restricted to remote (far above slope) geostrophic winds that blow along the terrain isoheights (southerly for the Great Plains). Diurnally
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31

Ostrovsky, Lev, Irina Soustova, Yuliya Troitskaya, and Daria Gladskikh. "Evolution of small-scale turbulence at large Richardson numbers." Nonlinear Processes in Geophysics 31, no. 2 (2024): 219–27. http://dx.doi.org/10.5194/npg-31-219-2024.

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Abstract. The theory of stratified turbulent flow developed earlier by the authors is applied to data from different areas of the ocean. It is shown that turbulence can be amplified and supported even at large gradient Richardson numbers. The cause of that is the exchange between kinetic and potential energies of turbulence. Using the profiles of Brunt–Väisälä frequency and vertical current shear given in Forryan et al. (2013), the profiles of the kinetic energy dissipation rate are calculated. The results are in reasonable agreement with the experimental data.
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32

Fedorenko, A. K., A. V. Bespalova, O. K. Cheremnykh, and E. I. Kryuchkov. "A dominant acoustic-gravity mode in the polar thermosphere." Annales Geophysicae 33, no. 1 (2015): 101–8. http://dx.doi.org/10.5194/angeo-33-101-2015.

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Abstract. The article presents a summary of the main findings of the systematic study of acoustic-gravity waves (AGWs) in the polar thermosphere. This study was based on the in situ measurements made by the Dynamics Explorer 2 (DE2) spacecraft late in its mission when it descended low enough (250–400 km). It was found out that AGWs in the polar thermosphere are observed within a narrow frequency band close to the Brunt–Väisälä frequency and with horizontal wavelengths about 500–600 km. The broadband spectrum of travelling ionospheric disturbance (TID) frequencies observed by radars is caused b
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33

Smeyers, P., T. Van Hoolst, I. De Boeck, and L. Decock. "A New Asymptotic Treatment of g-modes of a Star." International Astronomical Union Colloquium 155 (1995): 285–86. http://dx.doi.org/10.1017/s025292110003712x.

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An asymptotic representation of low-frequency, linear, isentropic g-modes of a star is developed without the usual neglect of the Eulerian perturbation of the gravitational potential. Our asymptotic representation is based on the use of asymptotic expansions adequate for solutions of singular perturbation problems (see, e.g., Kevorkian &amp; Cole 1981).Linear, isentropic oscillation modes with frequency different from zero are governed by a fourth-order system of linear, homogeneous differential equations in the radial parts of the radial displacement ξ(r) and the divergence α(r). These equati
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34

Pérez, I. A., M. L. Sánchez, M. Á. García, and B. de Torre. "Boundary layer structure and stability classification validated with CO<sub>2</sub> concentrations over the Northern Spanish Plateau." Annales Geophysicae 27, no. 1 (2009): 339–49. http://dx.doi.org/10.5194/angeo-27-339-2009.

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Abstract. A description of the lower boundary layer is vital to enhance our understanding of dispersion processes. In this paper, Radio Acoustic Sounding System sodar measurements obtained over three years were used to calculate the Brunt-Väisälä frequency and the Monin-Obukhov length. The Brunt-Väisälä frequency enabled investigation of the structure of this layer. At night, several layers were noticeable and the maximum was observed at the first level, 40 m, whereas during the day, it was present at about 320 m. The Monin-Obukhov length was calculated with the four first levels measured, 40–
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35

Audard, N., and J. Provost. "About Seismological Properties of Intermediate Mass Stars." International Astronomical Union Colloquium 137 (1993): 544–46. http://dx.doi.org/10.1017/s025292110001839x.

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AbstractStars more massive than about 1.2M⊙ are characterised by a convective core, which induces at its frontier a rapid variation of the sound speed and of the Brunt-Väissälä frequency, close to a discontinuity. We present preliminary results about the search of the signature this core could have on the p-mode spectra. For a set of frequencies of three stars of 1, 1.5 and 2 M⊙, we study in particular the small frequency separation Δν0,2, ~ νn,l, νn-1,l+2 for high order and low degree oscillation modes, which is particularly sensitive to the interior of stars. We underline characteristic beha
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36

Kandaswamy, Palani G., B. Tamil Selvi, and Lokenath Debnath. "Propagation of Rossby waves in stratified shear flows." International Journal of Mathematics and Mathematical Sciences 12, no. 3 (1989): 547–57. http://dx.doi.org/10.1155/s0161171289000682.

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A study is made of the propagation of Rossby waves in a stably stratified shear flows. The wave equation for the Rossby waves is derived in an isothermal atmosphere on a beta plane in the presence of a latitudinally sheared zonal flow. It is shown that the wave equation is singular at five critical levels, but the wave absorption takes place only at the two levels where the local relative frequency equals in magnitude to the Brunt Vaisala frequency. This analysis also reveals that these two levels exhibit valve effect by allowing the waves to penetrate them from one side only. The absorption c
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37

Sarma, SBSS. "Energy Dissipation Rates of Turbulence with an Airborne Microwave Refractometer." Australian Journal of Physics 44, no. 4 (1991): 435. http://dx.doi.org/10.1071/ph910435.

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Estimates of turbulence energy dissipation rates have been obtained in the free atmosphere of the planetary boundary layer. These are derived in terms of the variance of radio refractive index fluctuations {Lln2 }, the Brunt-Vaisala frequency N, the mean vertical gradient of generalised potential refractive index M, and the turbulence structure parameter C~, using an airborne microwave refractometer. The energy dissipation rates thus derived are comparable with the results from other experiments. The inferred energy dissipation rates (on a near real-time basis) from the airborne microwave refr
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38

Ter-Krikorov, A. M. "Fundamental solution of the internal-wave equation for a medium with a discontinuous brunt-väisälä frequency." Journal of Applied Mathematics and Mechanics 61, no. 4 (1997): 601–7. http://dx.doi.org/10.1016/s0021-8928(97)00077-4.

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39

Doostmohammadi, A., S. Dabiri, and A. M. Ardekani. "A numerical study of the dynamics of a particle settling at moderate Reynolds numbers in a linearly stratified fluid." Journal of Fluid Mechanics 750 (May 30, 2014): 5–32. http://dx.doi.org/10.1017/jfm.2014.243.

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AbstractIn this paper, the transient settling dynamics of a spherical particle sedimenting in a linearly stratified fluid is investigated by performing fully resolved direct numerical simulations. The settling behaviour is quantified for different values of Reynolds, Froude and Prandtl numbers. It is demonstrated that the transient settling dynamics is correlated to the induced Lagrangian drift of flow around the settling particle. A simplified model is provided to predict the maximum velocity of the settling particle in linearly stratified fluids. The peak velocity can be followed by the osci
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40

Raevskii, M. A., and V. G. Burdukovskaya. "The Influence of Random Internal Waves on the Characteristics of a Horizontal Antenna in a Shallow Sea." Акустический журнал 69, no. 5 (2023): 584–94. http://dx.doi.org/10.31857/s0320791922600469.

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The effect of random internal waves on the gain and pattern of a horizontal antenna array in a shallow sea has been investigated. An algorithm for calculating the correlation matrix of the point source field at the grating aperture is proposed. The antenna gain is analyzed for different spatial processing methods: the beam forming method, the optimal linear processing method, and the optimal quadratic processing method. The effect of internal waves on the directivity pattern is described by the dispersion of the angular response of the grating. Numerical simulation results are presented for a
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41

Reissmann, J. H. "On the representation of regional characteristics by hydrographic measurements at central stations in four deep basins of the Baltic Sea." Ocean Science 2, no. 1 (2006): 71–86. http://dx.doi.org/10.5194/os-2-71-2006.

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Abstract. In this work the eddy resolving data sets of salinity, temperature, and oxygen content aquired in the framework of the German-Russian project MESODYN (MESOscale DYNamics) in the Arkona Basin, the Bornholm Basin, the Stolpe Furrow, and the Eastern Gotland Basin during summer and winter stratification situations are utilized to examine to which extent the observations at the central monitoring stations within these basins are representative for the spatial mean state of the corresponding region with respect to comparative monitoring purposes of the whole Baltic Sea. The investigation c
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42

Reissmann, J. H. "On the representation of regional characteristics by hydrographic measurements at central stations in four deep basins of the Baltic Sea." Ocean Science Discussions 2, no. 4 (2005): 363–98. http://dx.doi.org/10.5194/osd-2-363-2005.

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Abstract. In this work the eddy resolving data sets of salinity, temperature, and oxygen content aquired in the framework of the German-Russian project MESODYN (MESOscale DYNamics) in the Arkona Basin, the Bornholm Basin, the Stolpe Furrow, and the Eastern Gotland Basin during summer and winter stratification situations are utilized to examine to which extent the observations at the central monitoring stations within these basins are representative for the spatial mean state of the corresponding region. The investiation covers profiles of salinity, potential temperature, oxygen content, potent
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43

Garcia, O. E., E. Leer, H. L. Pécseli, and J. K. Trulsen. "Magnetic field-aligned plasma currents in gravitational fields." Annales Geophysicae 33, no. 3 (2015): 257–66. http://dx.doi.org/10.5194/angeo-33-257-2015.

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Abstract. Analytical models are presented for currents along vertical magnetic field lines due to slow bulk electron motion in plasmas subject to a gravitational force. It is demonstrated that a general feature of this problem is a singularity in the plasma pressure force that develops at some finite altitude when a plasma that is initially in static equilibrium is set into slow motion. Classical fluid models thus do not allow general steady-state solutions for field-aligned currents. General solutions have to be non-stationary, varying on time scales of many periods of a plasma equivalent to
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44

Ryndina, V. V. "Some problems of the uniqueness of the re-establishment of the Brunt-Väisälä frequency using dispersion curves." Journal of Applied Mathematics and Mechanics 64, no. 1 (2000): 117–22. http://dx.doi.org/10.1016/s0021-8928(00)00032-0.

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45

Montalbán, Josefina. "The Generation of Internal Waves." International Astronomical Union Colloquium 137 (1993): 278–80. http://dx.doi.org/10.1017/s0252921100017917.

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The generation of internal waves in the radiatively stable stellar region by the turbulent motion at the boundary of the overlaying convective zone is similar to the same case in the deep ocean or in the earth atmosphere (Townsend, 1965), and can be described in a simple way as following: When an turbulent fluid element arrives at the boundary of the convective region with a non-zero momentum, it beats and it deforms the interface between both regions. This disturbance of the equilibrium state excites a train of internal waves propagating below the convective zone in the horizontal and vertica
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46

Nakayama, Kunji. "Dynamical Stability of Rotating Fluids in Kerr Spacetime." Publications of the Astronomical Society of Japan 43, no. 2 (1991): 177–93. https://doi.org/10.1093/pasj/43.2.177.

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Abstract Dynamical stability of rotating fluids in Kerr spacetime is studied. A sufficient condition for stability, consisting of two criteria, is derived: One is the Richardson criterion related to the Kelvin-Helmholtz instability; the other is a criterion related to the barotropic and baroclinic instabilities. These two criteria are natural extensions of those known in non-relativistic cases to a general relativistic regime. They are satisfied simultaneously if and only if an effective Brunt-Vii.isii.lii. frequency is real throughout the flow region and the fluid is uniformly rotating. The l
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47

Shi, Yunlong, Baoshu Yin, Hongwei Yang, Dezhou Yang, and Zhenhua Xu. "Dissipative Nonlinear Schrödinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/643652.

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We solve the so-called dissipative nonlinear Schrödinger equation by means of multiple scales analysis and perturbation method to describe envelope solitary Rossby waves with dissipation effect in stratified fluids. By analyzing the evolution of amplitude of envelope solitary Rossby waves, it is found that the shear of basic flow, Brunt-Vaisala frequency, andβeffect are important factors to form the envelope solitary Rossby waves. By employing trial function method, the asymptotic solution of dissipative nonlinear Schrödinger equation is derived. Based on the solution, the effect of dissipatio
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48

Augier, Pierre, Sébastien Galtier, and Paul Billant. "Kolmogorov laws for stratified turbulence." Journal of Fluid Mechanics 709 (August 31, 2012): 659–70. http://dx.doi.org/10.1017/jfm.2012.379.

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AbstractFollowing the Kolmogorov technique, an exact relation for a vector third-order moment $\mathbi{J}$ is derived for three-dimensional incompressible stably stratified turbulence under the Boussinesq approximation. In the limit of a small Brunt–Väisälä frequency, isotropy may be assumed which allows us to find a generalized $4/ 3$-law. For strong stratification, we make the ansatz that $\mathbi{J}$ is directed along axisymmetric surfaces parameterized by a scaling law relating horizontal and vertical coordinates. An integration of the exact relation under this hypothesis leads to a genera
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49

Harsono, Gentio, Budi Purwanto, Anindya Wirasatriya, Sri Murtiana, and Rifqi N. Agassi. "Percampuran Vertikal Massa Air Lapisan Pertengahan Perairan Lifamatola pada Bulan Maret 2009." Buletin Oseanografi Marina 12, no. 3 (2023): 365–78. http://dx.doi.org/10.14710/buloma.v12i3.56350.

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Perairan Lifamatola menarik dikaji selain sebagai lintasan Arlindo juga proses percampuran massa airnya terjadi secara intensif. Tujuan penelitian ini adalah mengkaji percampuran turbulen di Perairan Lifamatola pada Maret 2009. Data salinitas, temperatur dan kedalaman diperoleh dari program Tropical Ocean Climate Study (TOCS) tahun 2009, kerjasama Badan Pengkajian Penerapan Teknologi (BPPT) dan Jamstec (Japan of Marine Science Earth and Technology) Jepang menggunakan RV. Kaiyo. Analisis meliputi analisis skala Thorpe (LT), frekuensi Brunt Vaisala (N), disipasi energi kinetik turbulen (ε) dan e
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50

Marquet, Pascal, and Jean-François Geleyn. "On a general definition of the squared Brunt-Väisälä frequency associated with the specific moist entropy potential temperature." Quarterly Journal of the Royal Meteorological Society 139, no. 670 (2012): 85–100. http://dx.doi.org/10.1002/qj.1957.

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