The DOI matches its Crossref record.
Average Volumetric Concentration in Two-Phase Flow Systems
Abstract
A general expression which can be used either for predicting the average volumetric concentration or for analyzing and interpreting experimental data is derived. The analysis takes into account both the effect of nonuniform flow and concentration profiles as well as the effect of the local relative velocity between the phases. The first effect is taken into account by a distribution parameter, whereas the latter is accounted for by the weighted average drift velocity. Both effects are analyzed and evaluated. The results predicted by the analysis are compared with experimental data obtained for various two-phase flow regimes, with various liquid-gas mixtures in adiabatic, vertical flow over a wide pressure range. Good agreement with experimental data is shown.
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
Drag coefficient and relative velocity in bubbly, droplet or particulate flows
Ishii, M., & Zuber, N. (1979) · AIChE Journal · doi:10.1002/aic.690250513 · Cited by 2,031
Self-citationDesign parameters estimations for bubble column reactors
Shah, Y. T., Kelkar, B. G., Godbole, S. P., & Deckwer, W. ‐. (1982) · AIChE Journal · doi:10.1002/aic.690280302 · Cited by 1,202
Tubular photobioreactor design for algal cultures
Molina, E., Fernández, J., Acién, F. G., & Chisti, Y. (2001) · Journal of Biotechnology · doi:10.1016/s0168-1656(01)00353-4 · Cited by 620
Stephenson, A. L., Kazamia, E., Dennis, J. S., Howe, C. J., Scott, S. A., & Smith, A. G. (2010) · Energy & Fuels · doi:10.1021/ef1003123 · Cited by 571
Computational flow modelling and design of bubble column reactors
Joshi, J. B. (2001) · Chemical Engineering Science · doi:10.1016/s0009-2509(01)00273-1 · Cited by 391
Metadata
- Authors
- Zuber, N., & Findlay, J. A.
- Venue
- Journal of Heat Transfer
- Publisher
- ASME International
- Published
- 1965-11-01
- Volume
- 87
- Issue
- 4
- Pages
- 453-468
- ISSN
- 0022-1481 (ISSN-L)
- 1528-8943
- OpenAlex
- W2019758240
- Cited by
- 2,498
- References
- 0
- FWCI
- 39.19
- 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: Average Volumetric Concentration in Two-Phase Flow Systems. https://app.cochat.ai/papers/10.1115/1.3689137
- The paper
- Zuber, N., & Findlay, J. A. (1965). Average Volumetric Concentration in Two-Phase Flow Systems. Journal of Heat Transfer. https://doi.org/10.1115/1.3689137
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.