The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Transient convection in a porous medium
Abstract
Laboratory and numerical experiments on non-steady convective flows in a porous medium are reported. The main objective is to note the detailed comparison found between the time-dependent solutions and the time-like development of the iterative solutions of the steady equations originally pointed out by Garabedian (1956) and others. Two flows are chosen for study. The first is the flow which develops when a blob of hot fluid is released at the base of a porous slab. The second is the flow which develops when a portion of the base of a porous slab is suddenly heated. The former flow is very simple and ideally suited for establishing the numerical scheme. The latter flow, however, produces several unexpected features. The gross features of the time development, when the motion is strongly non-linear, show an alternation between periods of slow gradual adjustment and periods of rapid change.
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
Carslaw, H. S., & Jaeger, J. C. (1947) · International Linear Collider · Cited by 19,877
�ber die partiellen Differenzengleichungen der mathematischen Physik
Courant, R., Friedrichs, K., & Lewy, H. (1928) · Mathematische Annalen · doi:10.1007/bf01448839 · Cited by 4,106
Convection of a fluid in a porous medium
Lapwood, E. R. (1948) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s030500410002452x · Cited by 1,419
Numerical Solution of Ordinary and Partial Differential Equations
Fox, L., & Gillis, J. (1963) · Physics Today · doi:10.1063/1.3050570 · Cited by 485
Steady free convection in a porous medium heated from below
Elder, J. W. (1967) · Journal of Fluid Mechanics · doi:10.1017/s0022112067000023 · Cited by 446
Self-citationDiscrete transitions in turbulent convection
Malkus, W. V. R. (1954) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1954.0196 · Cited by 259
Estimation of the Relaxation Factor for Small Mesh Size
Garabedian, P. R. (1956) · Mathematical Tables and Other Aids to Computation · doi:10.2307/2001912 · Cited by 79
Estimation of the relaxation factor for small mesh size
Garabedian, P. R. (1956) · Mathematics of Computation · doi:10.1090/s0025-5718-1956-0088802-7 · Cited by 63
Cited by
Seawater intrusion processes, investigation and management: recent advances and future challenges
Werner, A. D., Bakker, M., Post, V. E. A., Vandenbohede, A., Lu, C., Ataie-Ashtiani, B., Simmons, C. T., & Barry, D. A. (2013) · Advances in Water Resources · doi:10.1016/j.advwatres.2012.03.004 · Cited by 1,658
Variable-density flow and transport in porous media: approaches and challenges
Diersch, H.-J. G., & Kolditz, O. (2002) · Advances in Water Resources · doi:10.1016/s0309-1708(02)00063-5 · Cited by 481
Hydrothermal Convection in Saturated Porous Media
COMBARNOUS, M. A., & BORIES, S. A. (1975) · Advances in Hydroscience · doi:10.1016/b978-0-12-021810-3.50008-4 · Cited by 429
Simmons, C. T., Fenstemaker, T. R., & Sharp, J. M. (2001) · Journal of Contaminant Hydrology · doi:10.1016/s0169-7722(01)00160-7 · Cited by 366
Tidal effects on sea water intrusion in unconfined aquifers
Ataie-Ashtiani, B., Volker, R. E., & Lockington, D. A. (1999) · Journal of Hydrology · doi:10.1016/s0022-1694(98)00275-3 · Cited by 324
Metadata
- Authors
- Elder, J. W.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1967-02-24
- Volume
- 27
- Issue
- 3
- Pages
- 609-623
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2119271416
- Cited by
- 344
- References
- 8
- FWCI
- 5.00
- 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: Transient convection in a porous medium. https://app.cochat.ai/papers/10.1017/s0022112067000576
- The paper
- Elder, J. W. (1967). Transient convection in a porous medium. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112067000576
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.
