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E-grāmata: Nonlinear Instability of Nonparallel Flows: IUTAM Symposium Potsdam, NY, USA July 26 - 31, 1993

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  • Formāts: PDF+DRM
  • Sērija : IUTAM Symposia
  • Izdošanas datums: 06-Dec-2012
  • Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Valoda: eng
  • ISBN-13: 9783642850844
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Nonlinear Instability of Nonparallel Flows: IUTAM Symposium Potsdam, NY, USA July 26 - 31, 1993Palielināt
  • Formāts: PDF+DRM
  • Sērija : IUTAM Symposia
  • Izdošanas datums: 06-Dec-2012
  • Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Valoda: eng
  • ISBN-13: 9783642850844
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This volume deals with the instability of fluid flows that vary spatially in the stream-wise direction. Such flows occur widely in nature and industry. The contributors pay particular attention to analytical techniques and the interpretation of numerical and experimental results.

The IUTAM Symposium on Nonlinear Instability of Nonparallel Flows was held at Clarkson University, Potsdam, NY 13699-5725, USA from 26 to 31 July 1993. It consisted of 9 general speeches, 35 lectures and 15 poster-seminar presentations. The papers were grouped in fairly focused sessions on boundary layers, shear flows, vortices, wakes, nonlinear waves and jets. The symposium was fol­ lowed by a workshop in which the subject matter discussed was sum­ marized and some further work for future investigation was recom­ mended. The highlights of the workshop will be reported elsewhere. In this book many of the papers that describe the ideas presented at the symposium are collected to provide a reference for researchers in charting the future course of their studies in the area of nonlinear instability of nonparallel flows. The papers in this book are grouped under the following headings: • Boundary layers and shear flows • Compressibility and thermal effects • Vortices and wakes • Nonlinear waves and jets In the lead paper ofthis book M. E. Goldstein describes an asymp­ totic theory of nonlinear interaction between two spatially growing oblique waves on nonparallel boundary and free-shear layers. The wave interaction originates from the nonlinear critical layer and is responsive to weakly nonparallel effects. The theory results in a sys­ tem of integral differential equations which appear to be relevant near the upper branch of the neutral curve.
1. Boundary layers and shear flows.- Nonlinear interactions between
oblique instability waves on nearly parallel shear flows.- Nonlinear
breakdown of laminar boundary layer.- The development of nonlinear
oscillations in a boundary layer and the onset of random disturbances.-
Experimental study of nonlinear stages of a boundary layer breakdown.-
Asymptotic analysis of resonant interactions in a boundary layer.- Stability
and transition to turbulence in 2-D boundary layer under the influence of
adverse pressure gradients.- Computational aspects of nonparallel effects in
boundary-layer receptivity.- Influence of Pressure Gradient on the
Nonlocalized receptivity of boundary layers.- Strongly nonlinear oblique-wave
solutions in wall-bounded shear flows.- Nonlinear spatial dynamics in a
growing boundary layer.- Weakly-nonlinear evolution of a nearly-plane wave in
the boundary layer of a flat plate.- The nonlinear evolution of modulated
waves in a boundary layer.- A new technique of Tollmien-Schlichting wave
cancellation in a sound-exposed boundary layer.- Numerical simulation of the
high Reynolds number flow in the non-uniform duct.- The convergence for
nonlinear Galerkin method in fluid dynamics system.-
2. Compressibility and
thermal effects.- Thermal convection in fluid layers with nonuniform
thickness or surface temperature.- Experiments on the nonlinear instability
of supersonic boundary layers.- Excitation of instability waves in the
supersonic boundary layer by sound.- Some problems in the shock wave
turbulent boundary layer interactions.- Nonlinear stability of a Mach 1.6
flat plate boundary layer.- Numerical simulation of thermal boundary layer
instabilities in porous media.-
3. Vortices and wakes.- Nonlinear instability
of free shear layers: subharmonic resonance and three dimensional vortex
dynamics.- The instability of Long's vortex.- On the secondary instability of
the most dangerous Gortler vortex.- The nonlinear stability of vortex flows
and vortex breakdown.- On the onset of nonsteadiness in the flows with vortex
breakdown in a cylindrical container.- Stability of nonparallel periodic flow
with bottom friction.- Nonlinear effects of 2-D and 3-D disturbances on
laminar separation bubbles.- Coherent vortical structures in plane far wakes
at moderate Reynolds numbers.- A mechanism for oblique wave resonance in the
far wake.-
4. Nonlinear waves and jets.- Stability of nonlinear waves
resonantly sustained.- The stability of some three-dimensional and
time-dependent flows.- On the stability of standing solitons in Faraday
resonance.- Quasi-stationary wave evolution on a falling film.- Instabilities
in a three-dimensional heated draining film.- Long-disturbance stability of
nonlinear wave regimes in a falling liquid film.- Bifurcation cascade in a
diverging flow.- Nonlinear dynamics of forced transitional jets: Temporal
attractors and transitions to chaos.
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