A universal velocity transformation for boundary layers with pressure gradients Article Swipe
Peng E. S. Chen
,
Wen Wu
,
Kevin P. Griffin
,
Yipeng Shi
,
Xiang I. A. Yang
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1017/jfm.2023.570
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1017/jfm.2023.570
The logarithmic law of the wall does not capture the mean flow when a boundary layer is subjected to a strong pressure gradient. In such a boundary layer, the mean flow is affected by the spatio-temporal history of the imposed pressure gradient; and accounting for history effects remains a challenge. This work aims to develop a universal mean flow scaling for boundary layers subjected to arbitrary adverse or/and favourable pressure gradients. We derive from the Navier–Stokes equation a velocity transformation that accounts for the history effects and maps the mean flow to the canonical law of the wall. The transformation is tested against channel flows with a suddenly imposed adverse or favourable pressure gradient, boundary layer flows subjected to an adverse pressure gradient, and Couette–Poiseuille flows with a streamwise pressure gradient. It is found that the transformed velocity profiles follow closely the equilibrium law of the wall.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1017/jfm.2023.570
- OA Status
- green
- Cited By
- 9
- References
- 59
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4386165714
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4386165714Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1017/jfm.2023.570Digital Object Identifier
- Title
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A universal velocity transformation for boundary layers with pressure gradientsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-08-25Full publication date if available
- Authors
-
Peng E. S. Chen, Wen Wu, Kevin P. Griffin, Yipeng Shi, Xiang I. A. YangList of authors in order
- Landing page
-
https://doi.org/10.1017/jfm.2023.570Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://www.osti.gov/biblio/2001482Direct OA link when available
- Concepts
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Adverse pressure gradient, Pressure gradient, Hagen–Poiseuille equation, Boundary layer, Mechanics, Flow (mathematics), Velocity gradient, Boundary (topology), Physics, Flow separation, Classical mechanics, Materials science, Mathematics, Mathematical analysisTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
9Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 6, 2024: 3Per-year citation counts (last 5 years)
- References (count)
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59Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| publication_year | 2023 |
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| abstract_inverted_index.It | 131 |
| abstract_inverted_index.We | 71 |
| abstract_inverted_index.an | 119 |
| abstract_inverted_index.by | 33 |
| abstract_inverted_index.is | 16, 31, 100, 132 |
| abstract_inverted_index.of | 3, 37, 95, 144 |
| abstract_inverted_index.or | 110 |
| abstract_inverted_index.to | 18, 53, 64, 91, 118 |
| abstract_inverted_index.The | 0, 98 |
| abstract_inverted_index.and | 42, 86, 123 |
| abstract_inverted_index.for | 44, 60, 82 |
| abstract_inverted_index.law | 2, 94, 143 |
| abstract_inverted_index.not | 7 |
| abstract_inverted_index.the | 4, 9, 28, 34, 38, 74, 83, 88, 92, 96, 135, 141, 145 |
| abstract_inverted_index.This | 50 |
| abstract_inverted_index.aims | 52 |
| abstract_inverted_index.does | 6 |
| abstract_inverted_index.flow | 11, 30, 58, 90 |
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| abstract_inverted_index.maps | 87 |
| abstract_inverted_index.mean | 10, 29, 57, 89 |
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| abstract_inverted_index.wall | 5 |
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| abstract_inverted_index.with | 105, 126 |
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| abstract_inverted_index.flows | 104, 116, 125 |
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