Brief Report
Jan 1969
Nonuniform Diffusion of Suspended Sediment
Publication: Journal of the Hydraulics Division
Volume 95, Issue 1
Abstract
In a recent study, Apmann and Rumer analyzed the nonuniform diffusion of suspended sediment in an open-channel flow. Experiments were performed for the situation in which a uniform open-channel flow enters from a region of rigid bottom to a region of sediment-laden bottom. The gradual development of concentration profiles is studied by measurements across the depth and along the flow direction. Theoretical calculations were also made on the basis of an approximate convective-diffusion equation; and the predicted concentration profiles agreed well with experiments. A numerical method of finite differences was used while the possibility of analytical solutions was apparently overlooked. In view of the significance of their work in extending the validity of the diffusion model for sediment suspensions, it seems worthwhile to present herein an analytical solution by Laplace transform. An approximate formula for the development region is derived from the Laplace inversion integral, which is indistinguishable in accuracy from the computer results.
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Published In
Journal of the Hydraulics Division
Volume 95 • Issue 1 • January 1969
Pages: 581 - 584
Copyright
© 1969 American Society of Civil Engineers.
History
Published in print: Jan 1969
Published online: Feb 3, 2021
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Authors
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Chiang C. Mei, M.ASCE
Assoc. Prof. of Civ. Engrg., Massachusetts Institute of Technology, Cambridge, Mass
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.