3 edition of Nonlinear interaction between a pair of oblique modes in a supersonic mixing layer found in the catalog.
Nonlinear interaction between a pair of oblique modes in a supersonic mixing layer
by National Aeronautics and Space Administration, National Technical Information Service, distributor in [Washington, DC, Springfield, Va
Written in English
|Statement||Thomas F. Balsa, James Gartside.|
|Series||NASA contractor report -- NASA CR-197380.|
|Contributions||Gartside, James., United States. National Aeronautics and Space Administration.|
|The Physical Object|
The focus is on low-frequency (long-wavelength) components of FSVD, to which the boundary layer is most receptive. For simplification, FSVD are modelled by a pair of oblique modes with opposite spanwise wavenumbers, and their intensity is strong enough (but still of low level) that the excitation and evolution of Görtler vortices are nonlinear. Get this from a library! Nonlinear evolution of the first mode supersonic oblique waves in compressible boundary layers. Part 1, Heated/cooled walls. [J S B Gajjar; United States. National Aeronautics and Space Administration.].
In so-called K-type transition, three dimensionality is provided by an oblique mode of the same frequency as the TS wave, while in H-type transition the TS wave is supplemented by a subharmonic oblique mode. The modulation of the Blasius boundary layer by the amplifying TS wave causes the oblique modes to rapidly amplify so that the latter Cited by: And Goldstein, M. E., "Nonlinear-Interaction Between The Sinuous And Varicose Instability Modes In A Plane J., "The Development of A Mixing Layer Under The Action of Weak Streamwise Vortices X. S., Leib, S. J. And Goldstein, M. E., "On The Nonlinear Evolution of A Pair of Oblique Tollmien-Schlichting Waves In Boundary Layers.
polarization. Eq. gives the nonlinear polarization  for different orders. In nonlinear mixing, simultaneously more than one nonlinear processes present in the light-matter interaction. Through phase matching condition, one can enhance the required nonlinear signal by decreasing the other nonlinear processes involved in the nonlinear. between the NLFR and the NNM backbone is simple for mild nonlinearities, but most realistic systems exhibit complicated NNMs with many interactions between the various modes leading to internally resonant branches. Many works have explored interactions between nonlinear modes with commensurate linear frequencies, e.g., when a pair of.
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Quite generally then, the nonlinear interaction between two oblique modes in a supersonic mixing layer enhances the growth of the disturbance.
The nonlinear interaction between a pair of symmetric, oblique, and spatial instability modes is studied in the long-wave limit using asymptotic : Thomas F.
Balsa, James Gartside. Get this from a library. Nonlinear interaction between a pair of oblique modes in a supersonic mixing layer: long wave limit. [Thomas F Balsa; James Gartside; United States.
National Aeronautics and Space Administration.]. So, in either case, the nonlinear interaction between two oblique modes causes the disturbance to grow much more quickly than the growth predicted by linear theory alone Publisher: The University of Arizona.
dominance of oblique first mode waves, and in view of the possibility of explosive growth predicted by the nonlinear analyses of GC and WLC, it might be expected that the interaction of a pair of oblique instability waves provides a stronger mecha- nism by which moderately supersonic boundary layers can break down.
A numericalCited by: The first nonlinear reaction takes place locally within a so‐called ‘‘critical layer’’ with the flow outside this layer consisting of a locally parallel mean flow plus a pair of oblique instability waves together with an associated plane by: Asymptotic methods are used to describe the nonlinear self interaction between pairs of oblique instability modes that eventually develops when initially linear, spatially growing instability waves evolve downstream in nominally two-dimensional, unbounded or semi bounded, laminar shear by: James Gartside The nonlinear interaction between a pair of symmetric, oblique, and spatial instability modes is studied in the long-wave limit using asymptotic methods.
The base flow is. On the weakly nonlinear three-dimensional instability of shear layers to pairs of oblique waves: the Stokes layer as a paradigm. Journal of Fluid Mechanics, Vol.Issue. -1, p. Cited by: Nonlinear interaction of the helical modes, which are the dominant instability modes of the jet, results in disturbance saturation, spectrum filling and large mean flow distortions.
Similar to that for the supersonic boundary layer flow (Chang, C.-L., Malik, M.R., Oblique-mode breakdown and secondary instability in supersonic boundary layers. by: In the most general case third-order nonlinear processes can relate up to four different frequency components.The 3 rd-order nonlinear susceptibility is a tensor of rank 4, described in the most general case by independent components.
The 3 rd-order nonlinear polarization can be given by following a similar procedure developed for the description of the 2 nd-order effects.
The nonlinear interaction between a pair of symmetric, oblique, and spatial instability modes is studied in the long-wave limit using asymptotic methods. The base flow is taken to be a supersonic mixing layer whose Mach number is such that the corresponding vortex sheet is marginally stable according to Miles' criterion.
It is shown that the amplitude of the mode obeys a nonlinear integro-differential. Supersonic mixing layer, generated by two parallel flows that merge after the trailing edge of a splitter plate, with corresponding inflow velocities U 1 and U 2 is shown in Fig.
are extensive studies regarding the supersonic mixing layer characterizing, including the entrainment, engulfment, large scale structures, and turbulent by: 8.
in the numerical case. Linear issue of a mixing layer at Mc= is simulated. Three modes of instability in the mixing layer have been simulated: Slow-Mode, Fast-Mode and Mix-Mode. Nonlinear issues of the mixing layer at Mc= are also studied.
The mode transition of the mixing layer. We consider the weakly nonlinear spatial evolution of two pairs of oblique waves superimposed on an inviscid mixing layer, with each wave being slightly amplified on a linear basis. Nonlinear development of subsonic modes on compressible mixing layers: a unified strongly nonlinear critical-layer theory.
Fluid Mech.,(, with C. Sparks). Instability of a stratified boundary layer and its coupling with internal gravity waves. Part I: Linear and nonlinear instabilities. Fluid Mech., demonstrate coherent interactions between the light and the medium, in which phase is preserved.
Examples are self-induced transparency and pi pulses. A number of transient phenomena do not require phase coherence – an example is self-phase modulation. Nonlinear optics occurs when any of these interactions are changed by the intensity of theFile Size: KB.
Al-Salman applied asymptotic analysis to study the interaction between a planar second-mode wave and one/a pair of oblique first-mode wave/s. He reveals that the first-mode waves will go through super-exponential growth due to phase-locked interactions with the second-mode Cited by: 1.
Diffusion-Flame Ignition by Shock-Wave Impingement on a Hydrogen-Air Supersonic Mixing Layer. Numerical Prediction of Shock-Boundary Layer Interaction between a Pair of Fins in Hypersonic Flow. Vishal A. Bhagwandin; Numerical Investigation of Flow Transition Caused by the Interaction of Oblique Shocks and Supersonic Boundary by: Nonlinear optics (NLO) is the branch of optics that describes the behaviour of light in nonlinear media, that is, media in which the polarization density P responds non-linearly to the electric field E of the light.
The non-linearity is typically observed only at very high light intensities (values of atomic electric fields, typically 10 8 V/m) such as those provided by lasers. Oblique Mode Breakdown in a Supersonic Boundary Layer Using Nonlinear PSE.
Pages Outgoing Acoustic Waves in an Unstable Supersonic Laminar Boundary Layer Over a Flexible Surface. Pages Nonlinear Wave Interactions in Compressible Turbulence.
Pages. Nonlinear interactions allow the extension of coherent radiation by second harmonic generation, sum generation, and difference frequency mixing over a wave- length range from /~ to beyond 1 mm in the far infrared, In addition, tunable.
Purchase Frontiers of Fluid Mechanics - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1.layer reaches a minimum thickness at the "neck." Downstream of the neck, the boundary layer returns to a normal state of weak interaction at the new Mach number.
Reattachment compression fan - Separation compression fan Boundary- Dividing streamline streamline Figure Schematic diagram of a supersonic flow field in a compression corner.