The DOI matches its Crossref record.
On the transition to turbulent convection. Part 1. The transition from two- to three-dimensional flow
Abstract
In a horizontal convecting layer several distinct transitions occur before the flow becomes turbulent. These are studied experimentally for several Prandtl numbers from 1 to 10 4. Cell size plan form, transitions in plan form, transition to time-dependence, as well as the heat flux, are measured for Rayleigh numbers from 10 3 to 10 5. The second transition, occurring at around 12 times the critical Rayleigh number, is one from steady two-dimensional rolls to a steady regular cellular pattern. There is associated with this a discrete change of slope of the heat flux curve, coinciding with the second transition observed by Malkus. Transitions to time-dependence will be discussed in part 2.
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
Non-linear properties of thermal convection
Busse, F. H. (1978) · Reports on Progress in Physics · doi:10.1088/0034-4885/41/12/003 · Cited by 960
Instabilities of convection rolls in a high Prandtl number fluid
Busse, F. H., & Whitehead, J. A. (1971) · Journal of Fluid Mechanics · doi:10.1017/s0022112071001071 · Cited by 323
Oscillatory and collective instabilities in large Prandtl number convection
Busse, F. H., & Whitehead, J. A. (1974) · Journal of Fluid Mechanics · doi:10.1017/s0022112074000061 · Cited by 186
Thermal instability and convection of a thin fluid layer bounded by a stably stratified region
Whitehead, J. A., & Chen, M. M. (1970) · Journal of Fluid Mechanics · doi:10.1017/s0022112070000319 · Cited by 70
Metadata
- Authors
- Krishnamurti, R.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1970-06-22
- Volume
- 42
- Issue
- 2
- Pages
- 295-307
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2119213531
- Cited by
- 321
- References
- 0
- FWCI
- 16.21
- 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 transition to turbulent convection. Part 1. The transition from two- to three-dimensional flow. https://app.cochat.ai/papers/10.1017/s0022112070001271
- The paper
- Krishnamurti, R. (1970). On the transition to turbulent convection. Part 1. The transition from two- to three-dimensional flow. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112070001271
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.
