Towards the Understanding of Humpback Whale Tubercles: Linear Stability Analysis of a Wavy Flat Plate
The results from a temporal linear stability analysis of a subsonic boundary layer over a flat plate with a straight and wavy leading edge are presented in this paper for a swept and un-swept plate. For the wavy leading-edge case, an extensive study on the effects of the amplitude and wavelength of...
Published in: | Fluids |
---|---|
Main Authors: | , |
Format: | Text |
Language: | English |
Published: |
Multidisciplinary Digital Publishing Institute
2020
|
Subjects: | |
Online Access: | https://doi.org/10.3390/fluids5040212 |
id |
ftmdpi:oai:mdpi.com:/2311-5521/5/4/212/ |
---|---|
record_format |
openpolar |
spelling |
ftmdpi:oai:mdpi.com:/2311-5521/5/4/212/ 2023-08-20T04:07:06+02:00 Towards the Understanding of Humpback Whale Tubercles: Linear Stability Analysis of a Wavy Flat Plate Miles Owen Abdelkader Frendi 2020-11-19 application/pdf https://doi.org/10.3390/fluids5040212 EN eng Multidisciplinary Digital Publishing Institute https://dx.doi.org/10.3390/fluids5040212 https://creativecommons.org/licenses/by/4.0/ Fluids; Volume 5; Issue 4; Pages: 212 wavy leading edge crossflow boundary layer stability critical Reynolds number amplitude wavelength Text 2020 ftmdpi https://doi.org/10.3390/fluids5040212 2023-08-01T00:29:36Z The results from a temporal linear stability analysis of a subsonic boundary layer over a flat plate with a straight and wavy leading edge are presented in this paper for a swept and un-swept plate. For the wavy leading-edge case, an extensive study on the effects of the amplitude and wavelength of the waviness was performed. Our results show that the wavy leading edge increases the critical Reynolds number for both swept and un-swept plates. For the un-swept plate, increasing the leading-edge amplitude increased the critical Reynolds number, while changing the leading-edge wavelength had no effect on the mean flow and hence the flow stability. For the swept plate, a local analysis at the leading-edge peak showed that increasing the leading-edge amplitude increased the critical Reynolds number asymptotically, while the leading-edge wavelength required optimization. A global analysis was subsequently performed across the span of the swept plate, where smaller leading-edge wavelengths produced relatively constant critical Reynolds number profiles that were larger than those of the straight leading edge, while larger leading-edge wavelengths produced oscillating critical Reynolds number profiles. It was also found that the most amplified wavenumber was not affected by the wavy leading-edge geometry and hence independent of the waviness. Text Humpback Whale MDPI Open Access Publishing Fluids 5 4 212 |
institution |
Open Polar |
collection |
MDPI Open Access Publishing |
op_collection_id |
ftmdpi |
language |
English |
topic |
wavy leading edge crossflow boundary layer stability critical Reynolds number amplitude wavelength |
spellingShingle |
wavy leading edge crossflow boundary layer stability critical Reynolds number amplitude wavelength Miles Owen Abdelkader Frendi Towards the Understanding of Humpback Whale Tubercles: Linear Stability Analysis of a Wavy Flat Plate |
topic_facet |
wavy leading edge crossflow boundary layer stability critical Reynolds number amplitude wavelength |
description |
The results from a temporal linear stability analysis of a subsonic boundary layer over a flat plate with a straight and wavy leading edge are presented in this paper for a swept and un-swept plate. For the wavy leading-edge case, an extensive study on the effects of the amplitude and wavelength of the waviness was performed. Our results show that the wavy leading edge increases the critical Reynolds number for both swept and un-swept plates. For the un-swept plate, increasing the leading-edge amplitude increased the critical Reynolds number, while changing the leading-edge wavelength had no effect on the mean flow and hence the flow stability. For the swept plate, a local analysis at the leading-edge peak showed that increasing the leading-edge amplitude increased the critical Reynolds number asymptotically, while the leading-edge wavelength required optimization. A global analysis was subsequently performed across the span of the swept plate, where smaller leading-edge wavelengths produced relatively constant critical Reynolds number profiles that were larger than those of the straight leading edge, while larger leading-edge wavelengths produced oscillating critical Reynolds number profiles. It was also found that the most amplified wavenumber was not affected by the wavy leading-edge geometry and hence independent of the waviness. |
format |
Text |
author |
Miles Owen Abdelkader Frendi |
author_facet |
Miles Owen Abdelkader Frendi |
author_sort |
Miles Owen |
title |
Towards the Understanding of Humpback Whale Tubercles: Linear Stability Analysis of a Wavy Flat Plate |
title_short |
Towards the Understanding of Humpback Whale Tubercles: Linear Stability Analysis of a Wavy Flat Plate |
title_full |
Towards the Understanding of Humpback Whale Tubercles: Linear Stability Analysis of a Wavy Flat Plate |
title_fullStr |
Towards the Understanding of Humpback Whale Tubercles: Linear Stability Analysis of a Wavy Flat Plate |
title_full_unstemmed |
Towards the Understanding of Humpback Whale Tubercles: Linear Stability Analysis of a Wavy Flat Plate |
title_sort |
towards the understanding of humpback whale tubercles: linear stability analysis of a wavy flat plate |
publisher |
Multidisciplinary Digital Publishing Institute |
publishDate |
2020 |
url |
https://doi.org/10.3390/fluids5040212 |
genre |
Humpback Whale |
genre_facet |
Humpback Whale |
op_source |
Fluids; Volume 5; Issue 4; Pages: 212 |
op_relation |
https://dx.doi.org/10.3390/fluids5040212 |
op_rights |
https://creativecommons.org/licenses/by/4.0/ |
op_doi |
https://doi.org/10.3390/fluids5040212 |
container_title |
Fluids |
container_volume |
5 |
container_issue |
4 |
container_start_page |
212 |
_version_ |
1774718535828766720 |