Wave dynamics and the stability of atmospheric shear flows

  • 208 Pages
  • 4.99 MB
  • English
Atmospheric turbulence, Boundary layer (Meteorology), Shear flow, Physics T
ContributionsPeltier, W. R. (supervisor)
The Physical Object
Pagination208 p.
ID Numbers
Open LibraryOL18820889M

Adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86AAuthor: Philip Alan Davis.

The sheer size of this field has made it difficult for young researchers to access this exciting area of fluid dynamics. For this reason, writing a book on the subject of hydrodynamic stability theory and transition is a daunting endeavor, especially as any book on stability theory.

On the mechanism of shear flow instabilities - Volume In homogeneous and density-stratified inviscid shear flows, the mechanism for instability that is most commonly invoked and discussed is Kelvin–Helmholtz instability, as it occurs for a simple velocity by: The field of hydrodynamic stability has a long history, going back to Rey­ nolds and Lord Rayleigh in the late 19th century.

Because of its central role in many research efforts involving fluid flow, stability theory has grown into a mature discipline, firmly based on a large. Zonal flows in the atmosphere and ocean of the Earth and other planets have complex velocity profiles with sections of a reverse flow (e.g., [1,2].

Project on Excitation of Nonlinear Equilibria in Shear Flow. Project on Rossby Wave Group Velocity Critical Layers. Rossby Wave Group Velocity Critical Layer Dynamics; Project on Superrotation Driven by Gravity Waves.

Project on the Generalized Stability of Chemical Dynamics. Kenneth S.

Download Wave dynamics and the stability of atmospheric shear flows FB2

Gage, Linear viscous stability theory for stably stratified shear flow: A review, Boundary-Layer Meteorology, /BF, 5,(), (). Crossref C. Emmanuel, Richardson number profiles through shear instability wave regions observed in the lower planetary boundary layer, Boundary-Layer Meteorology, An experiment on the stability of small disturbances in a stratified free shear layer - Volume 52 Issue 3 - R.

Scotti, G. Corcos. Tim Rees, Adam Monahan, A General Numerical Method for Analyzing the Linear Stability of Stratified Parallel Shear Flows, Journal of Atmospheric and Oceanic Technology, /JTECH-D, 31, 12, (), ().

The companion paper by Fritts et al. (, hereafter Part I) describes two examples of gravity wave (GW) instability and breaking in idealized direct numerical simulations (DNS) at large GW amplitudes, a relatively high GW frequency ω ∼ N/, where N is the buoyancy frequency, and a Reynolds number Re = 10 4 sufficient to allow vigorous instability, strong wave–wave interactions and.

[1] Atmospheric gravity waves have been a subject of intense research activity in recent years because of their myriad effects and their major contributions to atmospheric circulation, structure, and variability. Apart from occasionally strong lower‐atmospheric effects, the major wave influences occur in the middle atmosphere, between ∼ 10 and km altitudes because of decreasing density.

The linear dynamics of non-symmetric Wave dynamics and the stability of atmospheric shear flows book and vortex mode perturbations in spectrally stable geostrophic zonal flows with a constant horizontal shear along the meridional direction, when a fluid.

The book is intended for researchers specializing in wave theory, aeroacoustics, geophysical and astrophysical fluid dynamics, and related fields. It may also be useful to graduate and post-graduate students as a supplement to standard lecture courses.

Contents: Wave Energy and Momentum in a Moving Medium; Wave Generation by Unstable Shear Flows. In fluid dynamics, hydrodynamic stability is the field which analyses the stability and the onset of instability of fluid flows. The study of hydrodynamic stability aims to find out if a given flow is stable or unstable, and if so, how these instabilities will cause the development of turbulence.

The foundations of hydrodynamic stability, both theoretical and experimental, were laid most. The second formulation of the nonmodal approach is a generalized stability theory (GST; Farrell and Ioannou ) that extends modal stability theory to comprehensively account for all transient processes in shear flows including the interaction between modes and the mean flow regardless of whether the modes are spectrally stable or not.

The. The fundamental principles of fluid dynamics and its applications in engineering, design, atmospheric science, and oceanography are discussed; computation techniques are explained; and numerical data from analytical and experimental studies are compiled in tables, graphs, diagrams, and maps.

Topics covered include dimensional analysis; conservation equations; pipe and duct flow nozzles. Mountain waves excited by narrow 3D orography are investigated using idealized numerical simulations of atmospheric flows with directional wind shear.

The stability of these waves is compared with the stability of hydrostatic mountain waves. The focus is on understanding how wave breaking is modified via gravity wave–critical level.

In this paper we study the effect of atmospheric stability on the growth of surface gravity waves. IUCRM Symposium on Wave Dynamics and Radio Probing of the Ocean Surface, Miami, Plenum Press. Google Scholar ‘On the Stability of Heterogeneous Shear Flows’, J.

Fluid Mech. 10, Google Scholar. Plant, W.

Description Wave dynamics and the stability of atmospheric shear flows PDF

J.:‘A. The optimal dynamics of conservative disturbances to plane parallel shear flows is interpreted in terms of the propagation and mutual interaction of components called counterpropagating Rossby waves (CRWs).

Pairs of CRWs were originally used by Bretherton to provide a mechanistic explanation for unstable normal modes in the barotropic Rayleigh model and baroclinic two-layer model.

ELSEVIER Dynamics of Atmospheres and Oceans 24 () orals and oceans Shear instabilities in arrested salt-wedge flows Noboru Yonemitsu a, Gordon E.

Swaters b, Nallamuthu Rajaratnam c, Gregory A. Lawrence a,* a Environmental Fluid Mechanics, Department of Civil Engineering, University of British Columbia, Vancouver, B.C. V6T 1Z4, Canada b Institute of Applied.

incompressible free shear layer has a critical Reynolds number of zero, i.e., the flow is not stable for all wave numbers at any finite value of Reynolds number, R. Early studies of linear stability of mixing layers in incompressible parallel inviscid flows were performed by Helmholtz () and Kelvin ().

Shear flow instabilities and Rossby waves in barotropic flow in a rotating annulus but this flow also has some properties typical of a Rossby wave flow—e.g., “ The barotropic stability of the mean winds in the atmosphere,” J.

Fluid Mech. 12, (). 8 Viscous incompressible flow 94 Simple shear flow 94 The suddenly accelerated plane wall: Stokes’ first problem 95 Flow near an oscillating flat plate: Stokes’ second problem 96 The boundary layer along a flat plate 97 9 General solvability 99 Kinematics 99 Incompressible dynamics (1) 99 Incompressible dynamics.

Dynamics in Atmospheric Physics Also δz = δs cosΘ so F = −N2 cos 2 Θδs and d2δs = −N2 cos 2 Θδs. dt2 Thus σ2 = N2 cos 2 Θ = k2 c 2; that is, kc determines Θ.

Θ is also related to the ratio of horizontal and vertical wavelengths. In fluid dynamics, a Tollmien–Schlichting wave (often abbreviated T-S wave) is a streamwise unstable wave which arises in a bounded shear flow (such as boundary layer and channel flow).It is one of the more common methods by which a laminar bounded shear flow transitions to waves are initiated when some disturbance (sound, for example) interacts with leading edge roughness in.

We investigate strongly nonlinear stationary gravity waves which experience refraction due to a thin vertical shear layer of horizontal background wind. The velocity amplitude of the waves is of the same order of magnitude as the background flow and hence the self-induced mean flow alters the modulation properties to leading order.

In this theoretical study, we show that the stability of such. Unstable waves have been long studied in fluid shear layers1,2,3. These waves affect transport in the atmosphere and oceans, in addition to slipstream stability behind ships. stratified shear flow (Hazel, ). Lindzen and Rosenthal () explained this by observing that the essence of the instability is an over-reflection of an internal gravity wave at the interface and that, when a boundary is present, a wave over-reflected at the interface can travel to the boundary, be reflected there, and return.

Introduction to Geophysical Fluid Dynamics provides an introductory-level exploration of geophysical fluid dynamics (GFD), the principles governing air and water flows on large terrestrial scales.

Physical principles are illustrated with the aid of the simplest existing models, and the computer methods are shown in juxtaposition with the equations to which they apply. ELSEVIER Dynamics of Atmospheres and Oceans 27 () and oceans Application of Bretherton's interpretation of baroclinic instability in the presence of horizontal shear and compressibility William Blumen a, Albert Barcilon b, a Astrophysical, Planetary and Atmospheric Sciences Department, University of Colorado, Boulder, COUSA b Department of Meteorology.

A derivation is given of the first‐order, nonlinear amplitude equation governing the temporal evolution of finite‐amplitude waves in stratified shear flows.

Details Wave dynamics and the stability of atmospheric shear flows EPUB

the theory has been developed on an essentially inviscid basis by perturbing away from the linear neutral stability curve in .Instability of fluid motion: dynamical systems, bifurcations, Kelvin-Helmholtz instability, Rayleigh-Benard convection, energy method, global stability, linear stability of parallel flows, necessary and sufficient conditions for stability, viscosity as a destabilizing factor, convective and absolute instability.

Focus is on flow instabilities.69th Annual Meeting of the APS Division of Fluid Dynamics, Nov, Portland, OR, USA. A Kaminski and J Taylor Stability and mixing of shear layers forced by standing internal waves. VIIIth International Symposium on Stratified Flows, Aug Sept 1,San Diego, CA, USA.