The effect of wavepacket frequency bandwidth on the laminar-turbulent transition process in a Blasius boundary layer

Kean Lee Kang, K. S. Yeo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The subharmonic mode is known to play an important role in a regime of boundary layer transition known as the N (Novosibirsk) or H (Herbert) type. However, until recently, an explanation for its mechanism of production from an input pulse disturbance was lacking. While it is well-known that the subharmonic mode can be amplified by triad resonance interactions, this resonance process is only able to amplify a mode that is already present, but does not show how the mode was initiated or seeded even when it was not present in the initial disturbance pulse. Subsequent researchers have proposed that nonlinear self-interaction among component modes of a wavepacket can generate the subharmonic wave in a wavepacket evolving in a low-speed Blasius boundary layer flow. This hypothesis was tested and verified in experiments, but to date little numerical work had been done. This paper aims to fill in this gap by performing direct numerical simulations (DNS) to gain a better understanding of the process of subharmonic mode generation. The theory predicts the development of the subharmonic to be contingent on the frequency bandwidth of the input disturbance. Indeed, it was found that wide bandwidth signals caused the wavepacket to transition to turbulence via the subharmonic route, whereas narrow bandwidth led to transition through Klebanoff modes (streaks). An interesting hybrid transition scenario was also investigated, in which an intermediate bandwidth input gave rise to wavepacket evolution displaying features of both Klebanoff and subharmonic transition regimes. Furthermore, in any particular transition regime, traces of the other transition mechanisms were uncovered, suggesting that there is competition among the various mechanisms, with the frequency bandwidth being an important factor in determining the path to transition.
Original languageEnglish
Title of host publication43rd Fluid Dynamics Conference, Fluid Dynamics and Co-located Conferences
PublisherAerospace Research Central
Number of pages17
ISBN (Electronic)9781624102141
DOIs
Publication statusPublished - 2013
Externally publishedYes
Event43rd Fluid Dynamics Conference, Fluid Dynamics and Co-located Conferences - San Diego, United States
Duration: 24 Jun 201327 Jun 2013

Conference

Conference43rd Fluid Dynamics Conference, Fluid Dynamics and Co-located Conferences
Abbreviated titleAIAA
CountryUnited States
CitySan Diego
Period24/06/1327/06/13

Fingerprint

boundary layers
bandwidth
disturbances
boundary layer transition
boundary layer flow
pulses
direct numerical simulation
low speed
turbulence
routes
interactions

Cite this

Kang, K. L., & Yeo, K. S. (2013). The effect of wavepacket frequency bandwidth on the laminar-turbulent transition process in a Blasius boundary layer. In 43rd Fluid Dynamics Conference, Fluid Dynamics and Co-located Conferences Aerospace Research Central. https://doi.org/10.2514/6.2013-2615
Kang, Kean Lee ; Yeo, K. S. / The effect of wavepacket frequency bandwidth on the laminar-turbulent transition process in a Blasius boundary layer. 43rd Fluid Dynamics Conference, Fluid Dynamics and Co-located Conferences. Aerospace Research Central, 2013.
@inproceedings{d6b75e519d0e4da4a0e1401cb1bb5122,
title = "The effect of wavepacket frequency bandwidth on the laminar-turbulent transition process in a Blasius boundary layer",
abstract = "The subharmonic mode is known to play an important role in a regime of boundary layer transition known as the N (Novosibirsk) or H (Herbert) type. However, until recently, an explanation for its mechanism of production from an input pulse disturbance was lacking. While it is well-known that the subharmonic mode can be amplified by triad resonance interactions, this resonance process is only able to amplify a mode that is already present, but does not show how the mode was initiated or seeded even when it was not present in the initial disturbance pulse. Subsequent researchers have proposed that nonlinear self-interaction among component modes of a wavepacket can generate the subharmonic wave in a wavepacket evolving in a low-speed Blasius boundary layer flow. This hypothesis was tested and verified in experiments, but to date little numerical work had been done. This paper aims to fill in this gap by performing direct numerical simulations (DNS) to gain a better understanding of the process of subharmonic mode generation. The theory predicts the development of the subharmonic to be contingent on the frequency bandwidth of the input disturbance. Indeed, it was found that wide bandwidth signals caused the wavepacket to transition to turbulence via the subharmonic route, whereas narrow bandwidth led to transition through Klebanoff modes (streaks). An interesting hybrid transition scenario was also investigated, in which an intermediate bandwidth input gave rise to wavepacket evolution displaying features of both Klebanoff and subharmonic transition regimes. Furthermore, in any particular transition regime, traces of the other transition mechanisms were uncovered, suggesting that there is competition among the various mechanisms, with the frequency bandwidth being an important factor in determining the path to transition.",
author = "Kang, {Kean Lee} and Yeo, {K. S.}",
year = "2013",
doi = "10.2514/6.2013-2615",
language = "English",
booktitle = "43rd Fluid Dynamics Conference, Fluid Dynamics and Co-located Conferences",
publisher = "Aerospace Research Central",

}

Kang, KL & Yeo, KS 2013, The effect of wavepacket frequency bandwidth on the laminar-turbulent transition process in a Blasius boundary layer. in 43rd Fluid Dynamics Conference, Fluid Dynamics and Co-located Conferences. Aerospace Research Central, 43rd Fluid Dynamics Conference, Fluid Dynamics and Co-located Conferences, San Diego, United States, 24/06/13. https://doi.org/10.2514/6.2013-2615

The effect of wavepacket frequency bandwidth on the laminar-turbulent transition process in a Blasius boundary layer. / Kang, Kean Lee; Yeo, K. S.

43rd Fluid Dynamics Conference, Fluid Dynamics and Co-located Conferences. Aerospace Research Central, 2013.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - The effect of wavepacket frequency bandwidth on the laminar-turbulent transition process in a Blasius boundary layer

AU - Kang, Kean Lee

AU - Yeo, K. S.

PY - 2013

Y1 - 2013

N2 - The subharmonic mode is known to play an important role in a regime of boundary layer transition known as the N (Novosibirsk) or H (Herbert) type. However, until recently, an explanation for its mechanism of production from an input pulse disturbance was lacking. While it is well-known that the subharmonic mode can be amplified by triad resonance interactions, this resonance process is only able to amplify a mode that is already present, but does not show how the mode was initiated or seeded even when it was not present in the initial disturbance pulse. Subsequent researchers have proposed that nonlinear self-interaction among component modes of a wavepacket can generate the subharmonic wave in a wavepacket evolving in a low-speed Blasius boundary layer flow. This hypothesis was tested and verified in experiments, but to date little numerical work had been done. This paper aims to fill in this gap by performing direct numerical simulations (DNS) to gain a better understanding of the process of subharmonic mode generation. The theory predicts the development of the subharmonic to be contingent on the frequency bandwidth of the input disturbance. Indeed, it was found that wide bandwidth signals caused the wavepacket to transition to turbulence via the subharmonic route, whereas narrow bandwidth led to transition through Klebanoff modes (streaks). An interesting hybrid transition scenario was also investigated, in which an intermediate bandwidth input gave rise to wavepacket evolution displaying features of both Klebanoff and subharmonic transition regimes. Furthermore, in any particular transition regime, traces of the other transition mechanisms were uncovered, suggesting that there is competition among the various mechanisms, with the frequency bandwidth being an important factor in determining the path to transition.

AB - The subharmonic mode is known to play an important role in a regime of boundary layer transition known as the N (Novosibirsk) or H (Herbert) type. However, until recently, an explanation for its mechanism of production from an input pulse disturbance was lacking. While it is well-known that the subharmonic mode can be amplified by triad resonance interactions, this resonance process is only able to amplify a mode that is already present, but does not show how the mode was initiated or seeded even when it was not present in the initial disturbance pulse. Subsequent researchers have proposed that nonlinear self-interaction among component modes of a wavepacket can generate the subharmonic wave in a wavepacket evolving in a low-speed Blasius boundary layer flow. This hypothesis was tested and verified in experiments, but to date little numerical work had been done. This paper aims to fill in this gap by performing direct numerical simulations (DNS) to gain a better understanding of the process of subharmonic mode generation. The theory predicts the development of the subharmonic to be contingent on the frequency bandwidth of the input disturbance. Indeed, it was found that wide bandwidth signals caused the wavepacket to transition to turbulence via the subharmonic route, whereas narrow bandwidth led to transition through Klebanoff modes (streaks). An interesting hybrid transition scenario was also investigated, in which an intermediate bandwidth input gave rise to wavepacket evolution displaying features of both Klebanoff and subharmonic transition regimes. Furthermore, in any particular transition regime, traces of the other transition mechanisms were uncovered, suggesting that there is competition among the various mechanisms, with the frequency bandwidth being an important factor in determining the path to transition.

U2 - 10.2514/6.2013-2615

DO - 10.2514/6.2013-2615

M3 - Conference contribution

BT - 43rd Fluid Dynamics Conference, Fluid Dynamics and Co-located Conferences

PB - Aerospace Research Central

ER -

Kang KL, Yeo KS. The effect of wavepacket frequency bandwidth on the laminar-turbulent transition process in a Blasius boundary layer. In 43rd Fluid Dynamics Conference, Fluid Dynamics and Co-located Conferences. Aerospace Research Central. 2013 https://doi.org/10.2514/6.2013-2615