The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
On nonlinear K-l and K-ε models of turbulence
Abstract
The commonly used linear K-l and K-ε models of turbulence are shown to be incapable of accurately predicting turbulent flows where the normal Reynolds stresses play an important role. By means of an asymptotic expansion, nonlinear K-l and K-ε models are obtained which, unlike all such previous nonlinear models, satisfy both realizability and the necessary invariance requirements. Calculations are presented which demonstrate that this nonlinear model is able to predict the normal Reynolds stresses in turbulent channel flow much more accurately than the linear model. Furthermore, the nonlinear model is shown to be capable of predicting turbulent secondary flows in non-circular ducts - a phenomenon which the linear models are fundamentally unable to describe. An additional application of this model to the improved prediction of separated flows is discussed briefly along with other possible avenues of future research.
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
Cites
Progress in the development of a Reynolds-stress turbulence closure
Launder, B. E., Reece, G. J., & Rodi, W. (1975) · Journal of Fluid Mechanics · doi:10.1017/s0022112075001814 · Cited by 4,003
The Non-Linear Field Theories of Mechanics
Truesdell, C., & Noll, W. (1965) · Encyclopedia of Physics / Handbuch der Physik · doi:10.1007/978-3-642-46015-9_1 · Cited by 3,365
A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers
Deardorff, J. W. (1970) · Journal of Fluid Mechanics · doi:10.1017/s0022112070000691 · Cited by 1,982
Computational Modeling of Turbulent Flows
Lumley, J. L. (1979) · Advances in Applied Mechanics · doi:10.1016/s0065-2156(08)70266-7 · Cited by 1,232
Numerical investigation of turbulent channel flow
Moin, P., & Kim, J. (1982) · Journal of Fluid Mechanics · doi:10.1017/s0022112082001116 · Cited by 1,193
A Reynolds stress model of turbulence and its application to thin shear flows
Hanjalić, K., & Launder, B. E. (1972) · Journal of Fluid Mechanics · doi:10.1017/s002211207200268x · Cited by 1,063
Investigation of turbulent flow in a two-dimensional channel
Laufer, J. (1951) · NASA STI Repository (National Aeronautics and Space Administration) · doi:10.7907/6zyc-hj88 · Cited by 350
Measurements in Fully Developed Turbulent Channel Flow
Hussain, A. K. M. F., & Reynolds, W. C. (1975) · Journal of Fluids Engineering · doi:10.1115/1.3448125 · Cited by 236
Cited by
Development of turbulence models for shear flows by a double expansion technique
Yakhot, V., Orszag, S. A., Thangam, S., Gatski, T. B., & Speziale, C. G. (1992) · Physics of Fluids A: Fluid Dynamics · doi:10.1063/1.858424 · Cited by 2,832
Self-citationConvective Heat and Mass Transfer
Ghiaasiaan, S. M. (2011) · Cambridge University Press eBooks · doi:10.1017/cbo9780511800603 · Cited by 788
A dynamic mixed subgrid-scale model and its application to turbulent recirculating flows
Zang, Y., Street, R. L., & Koseff, J. R. (1993) · Physics of Fluids A: Fluid Dynamics · doi:10.1063/1.858675 · Cited by 786
Analytical Methods for the Development of Reynolds-Stress Closures in Turbulence
Speziale, C. G. (1991) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fl.23.010191.000543 · Cited by 593
Self-citationQuantification of model uncertainty in RANS simulations: A review
Xiao, H., & Cinnella, P. (2019) · Progress in Aerospace Sciences · doi:10.1016/j.paerosci.2018.10.001 · Cited by 434
Metadata
- Authors
- Speziale, C. G.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1987-05
- Volume
- 178
- Pages
- 459-475
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2056957794
- Cited by
- 665
- References
- 8
- FWCI
- 11.50
- 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 nonlinear K-l and K-ε models of turbulence. https://app.cochat.ai/papers/10.1017/s0022112087001319
- The paper
- Speziale, C. G. (1987). On nonlinear K-l and K-ε models of turbulence. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112087001319
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.
