The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Equation of motion for a small rigid sphere in a nonuniform flow
Abstract
The forces on a small rigid sphere in a nonuniform flow are considered from first prinicples in order to resolve the errors in Tchen’s equation and the subsequent modified versions that have since appeared. Forces from the undisturbed flow and the disturbance flow created by the presence of the sphere are treated separately. Proper account is taken of the effect of spatial variations of the undisturbed flow on both forces. In particular the appropriate Faxen correction for unsteady Stokes flow is derived and included as part of the consistent approximation for the equation of motion.
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
Tennekes, H., & Lumley, J. L. (1972) · The MIT Press eBooks · doi:10.7551/mitpress/3014.001.0001 · Cited by 8,340
The lift on a small sphere in a slow shear flow
Saffman, P. G. (1965) · Journal of Fluid Mechanics · doi:10.1017/s0022112065000824 · Cited by 3,426
Low Reynolds number hydrodynamics: with special applications to particulate media
Happel, J., & Brenner, H. (1983) · Mechanics of fluids and transport processes · doi:10.1007/978-94-009-8352-6 · Cited by 1,354
Théorie Analytique de la Chaleur
Fourier, J. B. J. (2009) · Cambridge University Press eBooks · doi:10.1017/cbo9780511693229 · Cited by 1,168
The transverse force on a spinning sphere moving in a viscous fluid
Rubinow, S. I., & Keller, J. B. (1961) · Journal of Fluid Mechanics · doi:10.1017/s0022112061000640 · Cited by 1,074
The motion of rigid particles in a shear flow at low Reynolds number
Bretherton, F. P. (1962) · Journal of Fluid Mechanics · doi:10.1017/s002211206200124x · Cited by 858
(1889) · Nature · doi:10.1038/040412a0 · Cited by 628
Eulerian and Lagrangian time microscales in isotropic turbulence
Tennekes, H. (1975) · Journal of Fluid Mechanics · doi:10.1017/s0022112075000468 · Cited by 397
Cited by
The physical oceanography of the transport of floating marine debris
van Sebille, E., Aliani, S., Law, K. L., Maximenko, N., Alsina, J. M., Bagaev, A., Bergmann, M., Chapron, B., Chubarenko, I., Cózar, A., et al. (2020) · Environmental Research Letters · doi:10.1088/1748-9326/ab6d7d · Cited by 982
Intermittent Distribution of Inertial Particles in Turbulent Flows
Balkovsky, E., Falkovich, G., & Fouxon, A. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.2790 · Cited by 328
Chemical and biological activity in open flows: A dynamical system approach
Tél, T., de Moura, A., Grebogi, C., & Károlyi, G. (2005) · Physics Reports · doi:10.1016/j.physrep.2005.01.005 · Cited by 208
Lambert, A. R., O'shaughnessy, P. T., Tawhai, M. H., Hoffman, E. A., & Lin, C.-L. (2011) · Aerosol Science and Technology · doi:10.1080/02786826.2010.517578 · Cited by 175
Theoretical prediction of flow regime transition in bubble columns by the population balance model
Wang, T., Wang, J., & Jin, Y. (2005) · Chemical Engineering Science · doi:10.1016/j.ces.2005.04.027 · Cited by 141
Metadata
- Authors
- Maxey, M. R., & Riley, J. J.
- Venue
- The Physics of Fluids
- Publisher
- AIP Publishing
- Published
- 1983-04-01
- Volume
- 26
- Issue
- 4
- Pages
- 883-889
- ISSN
- 0031-9171 (ISSN-L)
- OpenAlex
- W2044665398
- Cited by
- 3,438
- References
- 8
- FWCI
- 13.86
- 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: Equation of motion for a small rigid sphere in a nonuniform flow. https://app.cochat.ai/papers/10.1063/1.864230
- The paper
- Maxey, M. R., & Riley, J. J. (1983). Equation of motion for a small rigid sphere in a nonuniform flow. The Physics of Fluids. https://doi.org/10.1063/1.864230
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.