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Resistance to Potential Flow through a Cubical Array of Spheres
Abstract
Precise conductivity measurements on models sectioned out from a cubic lattice of spheres in a continuous medium indicate that the effective conductance of such a system deviates from the values predicted by Lord Rayleigh's analytic solution of this potential distribution problem. Deviations become particularly significant when the spheres approach close packing, and when the conductance of spheres is much greater than that of the continuum. By use of a different function for potential, and by consideration of higher terms in the series expression for the potential in the continuous phase, Rayleigh's results are modified, yielding an analytical expression that represents effective conductance satisfactorily in the concentration region approaching close packing.
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Citations
Cited by
Effective Thermal Conductivity of Composites with Interfacial Thermal Barrier Resistance
Hasselman, D. P. H., & Johnson, L. F. (1987) · Journal of Composite Materials · doi:10.1177/002199838702100602 · Cited by 1,355
Physics of inhomogeneous inorganic materials
Nan, C.-W. (1993) · Progress in Materials Science · doi:10.1016/0079-6425(93)90004-5 · Cited by 1,050
The physical properties of composite materials
Hale, D. K. (1976) · Journal of Materials Science · doi:10.1007/bf02403361 · Cited by 419
Low-temperature thermal conductivity and specific heat of a machinable ceramic
Roth, E. P., & Anderson, A. C. (1976) · Journal of Applied Physics · doi:10.1063/1.323172 · Cited by 35
Metadata
- Authors
- Meredith, R. E., & Tobias, C. W.
- Venue
- Journal of Applied Physics
- Publisher
- AIP Publishing
- Published
- 1960-07-01
- Volume
- 31
- Issue
- 7
- Pages
- 1270-1273
- ISSN
- 0021-8979 (ISSN-L)
- 1089-7550
- OpenAlex
- W2006254446
- Cited by
- 267
- References
- 0
- FWCI
- 3.51
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Resistance to Potential Flow through a Cubical Array of Spheres. https://app.cochat.ai/papers/10.1063/1.1735816
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- Meredith, R. E., & Tobias, C. W. (1960). Resistance to Potential Flow through a Cubical Array of Spheres. Journal of Applied Physics. https://doi.org/10.1063/1.1735816
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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.
