DOI: 10.1063/1.1735816. Resistance to Potential Flow through a Cubical Array of Spheres

Resistance to Potential Flow through a Cubical Array of Spheres

10.1063/1.1735816

Crossref journal-article

AIP Publishing

Journal of Applied Physics (317)

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.

Bibliography

Meredith, R. E., & Tobias, C. W. (1960). Resistance to Potential Flow through a Cubical Array of Spheres. Journal of Applied Physics, 31(7), 1270â1273.

Authors 2

Robert E. Meredith (first)
Charles W. Tobias (additional)

References 14 Referenced 232

10.1021/ie50526a021 / Ind. Eng. Chem. (1953)
10.1021/ie50587a042 / Ind. Eng. Chem. (1958)
10.1149/1.2427505 / J. Electrochem. Soc. (1959)
10.1021/ie50547a036 / Ind. Eng. Chem. (1955)
10.1021/ie50575a047 / Ind. Eng. Chem. (1957)
{'key': '2024020119003816400_r6'}
10.1103/PhysRev.24.575 / Phys. Rev. (1924)
{'key': '2024020119003816400_r8', 'first-page': '481', 'volume': '34', 'year': '1892', 'journal-title': 'Phys. Mag.'} / Phys. Mag. (1892)
{'key': '2024020119003816400_r9', 'first-page': '61', 'volume': '6', 'year': '1925', 'journal-title': 'Z. Tech. Physik'} / Z. Tech. Physik (1925)
{'key': '2024020119003816400_r10', 'first-page': '710', 'volume': '23', 'year': '1926', 'journal-title': 'J. Chem. Phys.'} / J. Chem. Phys. (1926)
10.1088/0508-3443/6/4/301 / Brit. J. Appl. Phys. (1955)
{'key': '2024020119003816400_r12', 'first-page': '391', 'volume': '24', 'year': '1951', 'journal-title': 'J. Appl. Chem. U.S.S.R.'} / J. Appl. Chem. U.S.S.R. (1951)
{'key': '2024020119003816400_r13'}
{'key': '2024020119003816400_r14'}

Dates

Type	When
Created	20 years, 4 months ago (April 25, 2005, 2:59 p.m.)
Deposited	1 year, 7 months ago (Feb. 1, 2024, 2:24 p.m.)
Indexed	2 weeks, 3 days ago (Aug. 19, 2025, 6:17 a.m.)
Issued	65 years, 2 months ago (July 1, 1960)
Published	65 years, 2 months ago (July 1, 1960)
Published Print	65 years, 2 months ago (July 1, 1960)

Funders 0

None

BibTeX

@article{Meredith_1960, title={Resistance to Potential Flow through a Cubical Array of Spheres}, volume={31}, ISSN={1089-7550}, url={http://dx.doi.org/10.1063/1.1735816}, DOI={10.1063/1.1735816}, number={7}, journal={Journal of Applied Physics}, publisher={AIP Publishing}, author={Meredith, Robert E. and Tobias, Charles W.}, year={1960}, month=jul, pages={1270–1273} }

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