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Sunday, May 17, 2020 | History

3 edition of Nonlinear interaction of detuned instability waves in boundary-layer transition found in the catalog.

Nonlinear interaction of detuned instability waves in boundary-layer transition

Nonlinear interaction of detuned instability waves in boundary-layer transition

amplitude equations

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  • 10 Currently reading

Published by National Aeronautics and Space Administration, Lewis Research Center, National Technical Information Service [distributor in [Cleveland, Ohio], Springfield, VA .
Written in English

    Subjects:
  • Nonlinearity.,
  • Numerical analysis.,
  • Stability.,
  • Harmonics.,
  • Flow distortion.,
  • Equilibrium equations.,
  • Boundary layer transition.,
  • Asymptotic methods .

  • Edition Notes

    StatementSang Soo Lee.
    Series[NASA contractor report] -- NASA/CR-1998-208679., NASA contractor report -- NASA CR-208679.
    ContributionsLewis Research Center., United States. National Aeronautics and Space Administration.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL15542597M

    Usually, however, the interaction between the shock wave and the boundary layer directly affects the pressure distribution over a region of the order of 30 per cent of the chord. It may have a still more important indirect effect if it causes the boundary layer near the trailing edge to thickeh. nonlinear waves in elastic tubes The boundary layer approximation and Department ofMathematics, ,Maslak-Istanbul, Turkey Istanbul Technical University, Faculty of Sciences and Letters, Abstract viscous-Burgers equations. boundary layer approximation we obtain theviscous-Korteweg-de Vriesand are confined toa very thin layer near the.

    On the onset of nonlinear oscillations in a abrupt local transition from convective to absolute instability, at low frequencies. numerical large-eddy simulations separated boundary-layer transition induced by the change of leading-edge curvature has been considered (Yang & Voke ). For boundary-layer flows two main classes of transition are known (Morkovin , ; Morkovin & Reshotko ). The first them is connected with boundary-layer instabilities (described initially by linear stability theories), amplification, and interaction of different instability modesresulting in the laminar flow class is.

    Nonlinear Instability, bifurcations and chaos Amol Marathe and Rama Govindarajan Engineering Mechanics Unit, Jawaharlal Nehru Center for Advanced Scienti c Research, Bangalore - This lecture will give a basic idea about nonlinear dynamics and chaos. Some matlab les are provided, which. Boundary layer may separate due to an adverse pressure gradient or due to flow geometry. In the current study the geometry is a flat plate with two different leading edges: a blunt one and a semi-circular one. The main purpose of the study is to identify how similar or how different the transition process is with two different leading edges.


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Nonlinear interaction of detuned instability waves in boundary-layer transition Download PDF EPUB FB2

NONLINEAR INTERACTION OF DETUNED INSTABILITY WAVES IN BOUNDARY-LAYER TRANSITION: 1. RESONANT-TRIAD INTERACTION Sang Soo Lee NYMA, Inc., NASA Lewis Research Center Group, M.S.

Cleveland, OH Abstract The non-equilibrium critical-layer analysis of a system of frequency-detuned resonant. Nonlinear Interaction of Detuned Instability Waves in Boundary-Layer Transition Amplitude Equations Sang Soo Lee Dynacs Engineering Company, Inc., Brook Park, Ohio Prepared under Contract NAS National Aeronautics and Space Administration Lewis Research Center October Get this from a library.

Nonlinear interaction of detuned instability waves in boundary-layer transition: resonant-triad interaction. [Sang Soo Lee; Lewis Research Center.]. Springer-Verlag 5. Wu X., Stewart P. A., Cowley S.

() On the catalytic role of the phase-locked interaction of Tollmien-Schlichting waves in boundary-layer transition, J. Fluid Mech. – 6. Gaster M., Grant I. () An experimental investigation of the formation and development of a wave packet in a laminar boundary : Igor B.

de Paula, Werner Würz, Vladimir I. Borodulin, Yury S. Kachanov. The resonant interaction of waves in a boundary layer was investigated also by introducing a priming oscillation with frequency f’ = ½ f1 + Δf for different values of the frequency detuning Δf.

Abstract. 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: Crossflow disturbances in three-dimensional boundary layers: nonlinear development, wave interaction and secondary instability By M.

MALIK, F. LI AND C.-L. CHANG High Technology Corporation, PO BoxHampton, VAUSA (Received 15 February and in revised form 16 October ) Nonlinear stability of a model swept-wing boundary. The 2- D instability to be considered is a viscous instability in that the boundary-layer velocity profile is stable in the inviscid limit and thus, an increase in viscosity (a decrease in Reynolds number) causes the instability to occur in the form of 2-D traveling waves called T-S waves.

anisms present at the weakly nonlinear stages of ’natural’ transition in an airfoil boundary layer. Set-up and Results The experiments were conducted in the Laminar Wind Tunnel of the IAG. The measurements are carried out on an airfoil at controlled disturbance conditions.

T-S waves are excited in the boundary layer by a slit source. An asymptotic critical-layer theory is developed for studying nonlinear interactions of a triad of instability waves leading to boundary-layer transition.

This triad consists of a spatially growing, initially linear plane wave and a pair of symmetrical, subharmonic oblique by: 1. The results of the experimental study of the nonlinear development of instability waves in a supersonic boundary layer on a flat plate at M = are presented.

On nonlinear instability of Prandtl’s boundary layers: the case of Rayleigh’s stable shear ows Emmanuel Grenier Toan T. Nguyeny June 4, Abstract In this paper, we study Prandtl’s boundary layer asymptotic ex-pansion for incompressible uids on the half-space in the inviscid Size: KB.

Nonlinear asymptotic integration algorithms for one-dimensional autonomous dissipative first-order ODEs Nonlinear interaction of detuned instability waves in boundary-layer transition [microform]: amplitude Averaging methods in nonlinear dynamical systems / J.A. Sanders, F. Verhulst. In Osborne Reynolds demonstrated the transition to turbulent flow in a classic experiment in which he examined the behaviour of water flow under different flow rates using a small jet of dyed water introduced into the centre of flow in a larger pipe.

The larger pipe was glass, so the behaviour of the layer of dyed flow could be observed, and at the end of this pipe was a flow-control.

It is known [Kachanov, ] that the laminar-turbulent transition in the case of low degree of free-stream turbulence is associated with origination and development of instability waves (the so-called Tollmien ⎯ Schlichting waves).

In their downstream evo-lution, these waves can grow linearly at first, then they experience the nonlinear stage of. Five topics are studied: Laminar-turbulent transition and laminar flow control- Development of a “quiet ” supersonic wind tunnel- Turbulent flows at high values of Reynolds numbers- Shock wave/boundary layer interaction- Jet noise The paper provides an overview of the current work performed in this project, which will be completed by the.

In the fields of nonlinear optics and fluid dynamics, modulational instability or sideband instability is a phenomenon whereby deviations from a periodic waveform are reinforced by nonlinearity, leading to the generation of spectral-sidebands and the eventual breakup of the waveform into a train of pulses.

The phenomenon was first discovered − and modelled − for periodic surface gravity. observed to support instability waves, akin to the Tollmien-Schlichting waves found in the classical Blasius flow. The growth in space, or time, of these instability waves can lead to transition and turbulence.

It is clear that turbulence originating in the attachment-line boundary layer will propagate into the flow away from the plane. AE Linear Stability Theory and Laminar-Turbulent Transition which demonstrated the presence of instability waves in a boundary-layer, their connection with transition and the Interaction of freestream turbulence and acoustical disturbances, Leading edge curvature,File Size: KB.

In laminar hypersonic boundary layers, it is known that secondary instability plays a crucial role in transition to turbulence. The secondary instability usually includes the fundamental mode, the subharmonic mode, and the detuned mode. It is known [1] that boundary-layer transition in low-turbulent flow is initiated by wavy disturbances, so-called Tollmien Schlichting waves.

During streamwise evolu-tion they start to grow as small-amplitude perturbations, then turn into nonlinear ones and finally result in flow turbulisation.

The linear stage of instability waves development.Instability and transition in high-speed boundary-layer flows Finally, if a Fourier transform is applied to the data both in time and in azimuth, we can decompose the evolution of the transitional flow into its many harmonics, a few of which are shown in Fig.

Cited by: 2.instability waves, i.e., TS instability is bypassed and the transition is more rapid. This paper will address this particular issue and investigate the primary instability of a separated boundary layer under % FST on a flat plate with a semi-circular leading edge.