The DOI matches its Crossref record.
On the deformation and drag of a falling viscous drop at low Reynolds number
Abstract
The motion at low Reynolds number of a drop in a quiescent unbounded fluid is investigated theoretically by means of a singular-perturbation solution of the axisymmetric equations of motion. Special attention is paid to the deformation of the drop. It is shown that for small values of the Weber number We the drop will first deform exactly into an oblate spheroid and then, with a further increase in We, into a geometry approaching that of a spherical cap. These results are quite insensitive to the ratio of the viscosities of the two fluid phases. The first-order effect of the deformation on the drag of the drop is also included in the analysis.
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
Bubble Formation and Bubble Rise Velocity in Gas−Liquid Systems: A Review
Kulkarni, A. A., & Joshi, J. B. (2005) · Industrial & Engineering Chemistry Research · doi:10.1021/ie049131p · Cited by 817
The Motion of High-Reynolds-Number Bubbles in Inhomogeneous Flows
Magnaudet, J., & Eames, I. (2000) · Annual Review of Fluid Mechanics · doi:10.1146/annurev.fluid.32.1.659 · Cited by 758
Sea Salt Aerosol Production: Mechanisms, Methods, Measurements and Models—A Critical Review
Lewis, R., & Schwartz, E. (2004) · Geophysical Monograph Series · doi:10.1029/gm152 · Cited by 658
The lift force on a spherical bubble in a viscous linear shear flow
LEGENDRE, D., & MAGNAUDET, J. (1998) · Journal of Fluid Mechanics · doi:10.1017/s0022112098001621 · Cited by 527
Shape of liquid drops moving in liquid media
Wellek, R. M., Agrawal, A. K., & Skelland, A. H. P. (1966) · AIChE Journal · doi:10.1002/aic.690120506 · Cited by 429
Metadata
- Authors
- Taylor, T. D., & Acrivos, A.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1964-03
- Volume
- 18
- Issue
- 3
- Pages
- 466-476
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2048735357
- Cited by
- 425
- References
- 0
- FWCI
- 8.09
- 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 the deformation and drag of a falling viscous drop at low Reynolds number. https://app.cochat.ai/papers/10.1017/s0022112064000349
- The paper
- Taylor, T. D., & Acrivos, A. (1964). On the deformation and drag of a falling viscous drop at low Reynolds number. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112064000349
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.
