Hybrid-Cells-in-Series Model for Solute Transport in Streams and Relation of Its Parameters with Bulk Flow Characteristics
Publication: Journal of Hydraulic Engineering
Volume 134, Issue 4
Abstract
The conceptualized hybrid-cells-in-series model, consists of a plug flow zone and two thoroughly mixed unequal reservoirs, all connected in series, has three time parameters, namely: (1) residence time of solute in the plug flow zone; and (2) residence times of solute in the two thoroughly mixed reservoirs. The model simulates closely advection-dispersion solute transport in natural streams. The resident time parameters are related to the velocity of flow, width of water surface, and depth of flow in the stream. Through the Péclet number, defined as (in which =process unit size; =mean flow velocity; and =longitudinal dispersion coefficient), the relations of the model parameters with the longitudinal dispersion coefficient and with the bulk stream flow characteristics have been established. For a given reach of a stream, the parameters are inversely proportional to the flow velocity. By decoupling of pure advection by the plug flow component and dispersion of tracer by the two thoroughly mixed reservoir components, a robust fitting to the observed concentration-time data in natural streams was achieved.
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Acknowledgments
The writers are grateful to the anonymous reviewers for their valuable suggestions and comments for improving the manuscript.
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© 2008 ASCE.
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Received: Jun 20, 2006
Accepted: Jun 1, 2007
Published online: Apr 1, 2008
Published in print: Apr 2008
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