Nonlinear development of a wave in a boundary layer

Kachanov, Y. S.; Козлов, В. В.; Levchenko, V. Ya.

doi:10.1007/bf01050568

Cited by 95 publications

(43 citation statements)

References 7 publications

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“…It is also apparent that the harmonic has maximum near the wall and thus the nonlinearity is most pronounced there. This is in agreement with the experimental measurements of [3]. In figure 5 we reproduce a figure from [3] illustrating the experimental fluctuation level.…”

Section: Numerical Resultssupporting

confidence: 89%

“…However, the flow velocity in [3] is much less than the present computation. The value of Re_, can not be determined from the information presented in [3].…”

Section: Numerical Resultscontrasting

confidence: 57%

“…However, the flow velocity in [3] is much less than the present computation. The value of Re_, can not be determined from the information presented in [3]. The computation does not produce a double peak for the fundamental although there is some indication of a double peak for the harmonic.…”

Section: Numerical Resultscontrasting

confidence: 57%

See 2 more Smart Citations

Wave Phenomena in a High Reynolds Number Compressible Boundary Layer

Bayliss

Maestrello

Parikh

et al. 1987

Stability of Time Dependent and Spatially Varying Flows

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Section: Numerical Resultssupporting

confidence: 89%

“…However, the flow velocity in [3] is much less than the present computation. The value of Re_, can not be determined from the information presented in [3].…”

Section: Numerical Resultscontrasting

confidence: 57%

See 1 more Smart Citation

Wave Phenomena in a High Reynolds Number Compressible Boundary Layer

Bayliss

Maestrello

Parikh

et al. 1987

Stability of Time Dependent and Spatially Varying Flows

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“…Herbert's 1984 theory is based on Floquet theory and accounts for an experimentally observed three-dimensional 3-D instability. Although the governing equations are linearized and a local parallel-ow assumption is made, remarkable agreement i s obtained between predictions from Herbert's theory and experimental results, particularly for the peak-valley splitting mode identi ed by Klebano et al 1959Klebano et al , 1962 and for the peak-valley alignment mode observed by Kachanov et al 1977Kachanov et al , 1984. These modes are two distinct and di erent routes to transition that are discriminated based on the initial disturbance levels.…”

Section: Introductionmentioning

confidence: 75%

Spatial direct numerical simulation of boundary-layer transition mechanisms: Validation of PSE theory

Joslin

Streett

Chang

1993

Theoret. Comput. Fluid Dynamics

169

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Abstract. A study of instabilities in incompressible boundary-layer ow on a at plate is conducted by spatial direct numerical simulation DNS of the Navier-Stokes equations. Here, the DNS results are used to critically evaluate the results obtained using parabolized stability equations PSE theory and to study mechanisms associated with breakdown from laminar to turbulent o w. Three test cases are considered: two-dimensional TollmienSchlichting wave propagation, subharmonic instability breakdown, and oblique-wave breakdown. The instability modes predicted by PSE theory are in good quantitative agreement with the DNS results, except a small discrepancy is evident in the mean-ow distortion component of the 2-D test problem. This discrepancy is attributed to far-eld boundarycondition di erences. Both DNS and PSE theory results show several modal discrepancies when compared with the experiments of subharmonic breakdown. Computations that allow for a small adverse pressure gradient in the basic ow and a variation of the disturbance frequency result in better agreement with the experiments.

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“…This is one of the distinct characteristic of K-type secondary instability (Kachanov, Kozlov & Levchenko 1977). It should be noted that these rollers are formed from the bottom wall up to y = 10.…”

Section: Nonlinear Growth and Turbulencementioning

confidence: 81%

Direct numerical simulations of instability and boundary layer turbulence under a solitary wave

2013

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A significant amount of research effort has been made to understand the boundary layer instability and the generation and evolution of turbulence subject to periodic/oscillatory flows. However, little is known about bottom boundary layers driven by highly transient and intermittent free-stream flow forcing, such as solitary wave motion. To better understand the nature of the instability mechanisms and turbulent flow characteristics subject to solitary wave motion, a large number of direct numerical simulations are conducted. Different amplitudes of random initial fluctuating velocity field are imposed. Two different instability mechanisms are observed within the range of Reynolds number studied. The first is a short-lived, nonlinear, longwave instability which is observed during the acceleration phase, and the second is a broadband instability that occurs during the deceleration phase. Transition from a laminar to turbulent state is observed to follow two different breakdown pathways: the first follows the sequence of K-type secondary instability of a near-wall boundary layer at comparatively lower Reynolds number and the second one follows a breakdown path similar to that of free shear layers. Overall characteristics of the flow are categorized into four regimes as: (i) laminar; (ii) disturbed laminar; (iii) transitional; and (iv) turbulent. Our categorization into four regimes is consistent with earlier works. However, this study is able to provide more specific definitions through the instability characteristics and the turbulence breakdown process.

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Nonlinear development of a wave in a boundary layer

Cited by 95 publications

References 7 publications

Wave Phenomena in a High Reynolds Number Compressible Boundary Layer

Wave Phenomena in a High Reynolds Number Compressible Boundary Layer

Spatial direct numerical simulation of boundary-layer transition mechanisms: Validation of PSE theory

Direct numerical simulations of instability and boundary layer turbulence under a solitary wave

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