Camp and Stein’s Velocity Gradient Formalization
Publication: Journal of Environmental Engineering
Volume 131, Issue 10
Abstract
Camp and Stein’s velocity gradient definition and its application to the study of fine sediment flocculation under flow shear are revised in the light of basic fluid mechanics concepts. Local motion and energy dissipation of a viscous fluid under laminar flow are used to prove that the Camp and Stein analysis was inaccurate for a general laminar movement. A generalization of Smoluchowski local aggregation equation and an alternative deduction for the parameter that Camp and Stein called velocity gradient are presented for a general laminar flow.
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Acknowledgments
The writers wish to thank Julio Borghi from the Universidad de la República for his useful comments and discussion at the first steps of this paper. In addition, they wish to thank Marcelo H. Garcia for the time the first writer took from his activities at the Hydrosystems Laboratory to prepare the final version of this work. Also thanks go to Salih Demir, Nils Oberg, and three anonymous reviewers for their comments on the manuscript.
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Information
Published In
Journal of Environmental Engineering
Volume 131 • Issue 10 • October 2005
Pages: 1369 - 1376
Copyright
© 2005 ASCE.
History
Received: Jun 3, 2003
Accepted: Feb 3, 2005
Published online: Oct 1, 2005
Published in print: Oct 2005
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