Pressure and Velocity Profiles over a Weir Using Potential Flow Model Article Swipe
Manish Kumar
,
Prashanth Reddy Hanmaiahgari
,
Jaan H. Pu
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3390/fluids9080182
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.3390/fluids9080182
A potential flow model of the semi-inverse type is proposed to simulate flow over round crested weirs. This technique involves the construction of only streamlines over the weir instead of constructing the entire flow net. A Serre–Green–Naghdi (SGN) equation is employed to determine the initial free-surface profile, which is solved using a combined finite volume-finite difference scheme. The potential flow equations were numerically solved using a five-point central finite difference scheme. The model was applied to define the pressure and velocity fields in channel controls involving transcritical flow, such as the Gaussian weir, parabolic weir, and semicircular weir. The impact of streamline curvature on pressure and velocity distributions was investigated in the study. The curvature of the streamline strongly influenced the rise and drop of the bed pressures along the test section. A semicircular weir experiment was also conducted to validate the pressure and velocity profiles obtained using the proposed 2-D fluid flow model. The computed pressure and flow profiles from the solution of the potential flow equation agree perfectly with the present experiment and similar experiments available in the literature. In conclusion, the SGN equation provides an excellent initial profile to solve a 2-D ideal fluid flow numerically.
Related Topics
Concepts
Streamlines, streaklines, and pathlines
Weir
Mechanics
Flow (mathematics)
Potential flow around a circular cylinder
Curvature
Supercritical flow
Mathematics
Open-channel flow
Flow velocity
Potential flow
Finite volume method
Pressure drop
Geometry
Physics
Geography
Cartography
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/fluids9080182
- https://www.mdpi.com/2311-5521/9/8/182/pdf?version=1723705248
- OA Status
- gold
- References
- 34
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4401615257
All OpenAlex metadata
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https://doi.org/10.3390/fluids9080182Digital Object Identifier
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Pressure and Velocity Profiles over a Weir Using Potential Flow ModelWork title
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articleOpenAlex work type
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enPrimary language
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2024Year of publication
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2024-08-15Full publication date if available
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Manish Kumar, Prashanth Reddy Hanmaiahgari, Jaan H. PuList of authors in order
- Landing page
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https://doi.org/10.3390/fluids9080182Publisher landing page
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https://www.mdpi.com/2311-5521/9/8/182/pdf?version=1723705248Direct link to full text PDF
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goldOpen access status per OpenAlex
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https://www.mdpi.com/2311-5521/9/8/182/pdf?version=1723705248Direct OA link when available
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Streamlines, streaklines, and pathlines, Weir, Mechanics, Flow (mathematics), Potential flow around a circular cylinder, Curvature, Supercritical flow, Mathematics, Open-channel flow, Flow velocity, Potential flow, Finite volume method, Pressure drop, Geometry, Physics, Geography, CartographyTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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| primary_location.pdf_url | https://www.mdpi.com/2311-5521/9/8/182/pdf?version=1723705248 |
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| primary_location.raw_type | journal-article |
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| primary_location.is_published | True |
| primary_location.raw_source_name | Fluids |
| primary_location.landing_page_url | https://doi.org/10.3390/fluids9080182 |
| publication_date | 2024-08-15 |
| publication_year | 2024 |
| referenced_works | https://openalex.org/W2115845425, https://openalex.org/W1971837147, https://openalex.org/W2015034560, https://openalex.org/W2336926085, https://openalex.org/W1983972640, https://openalex.org/W2035906516, https://openalex.org/W2418910942, https://openalex.org/W1969996693, https://openalex.org/W6654898502, https://openalex.org/W6671866299, https://openalex.org/W2586341770, https://openalex.org/W1565286391, https://openalex.org/W2030037871, https://openalex.org/W2147533261, https://openalex.org/W1502228906, https://openalex.org/W2131978017, https://openalex.org/W2040816309, https://openalex.org/W3210171461, https://openalex.org/W2022095986, https://openalex.org/W2134575754, https://openalex.org/W1976068208, https://openalex.org/W6669596883, https://openalex.org/W2088120353, https://openalex.org/W2948710148, https://openalex.org/W2039022076, https://openalex.org/W2148003806, https://openalex.org/W6661971423, https://openalex.org/W2324632826, https://openalex.org/W2330452000, https://openalex.org/W2016796196, https://openalex.org/W2075202925, https://openalex.org/W2046354771, https://openalex.org/W2084926470, https://openalex.org/W2016901819 |
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