The DOI matches its Crossref record.
On optimum design in fluid mechanics
Abstract
In this paper, the change in energy dissipation due to a small hump on a body in a uniform steady flow is calculated. The result is used in conjunction with the variational methods of optimal control to obtain the optimality conditions for four minimum-drag problems of fluid mechanics. These conditions imply that the unit-area profile of smallest drag has a front end shaped like a wedge of angle 90°.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Zingg, D. W., Nemec, M., & Pulliam, T. H. (2008) · European Journal of Computational Mechanics · doi:10.3166/remn.17.103-126 · Cited by 186
Inverse design of optical elements based on arrays of dielectric spheres
Zhan, A., Fryett, T. K., Colburn, S., & Majumdar, A. (2018) · Applied Optics · doi:10.1364/ao.57.001437 · Cited by 43
Metadata
- Authors
- Pironneau, O.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1974-06-03
- Volume
- 64
- Issue
- 1
- Pages
- 97-110
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2098720228
- Cited by
- 691
- References
- 0
- FWCI
- 4.98
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: On optimum design in fluid mechanics. https://app.cochat.ai/papers/10.1017/s0022112074002023
- The paper
- Pironneau, O. (1974). On optimum design in fluid mechanics. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112074002023
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
