Environmental & Water Quality Operational Studies: Improved Description of Selective Withdrawal through Point Sinks.
Abstract
Analytical work has focused on withdrawal from two-layer or linearly stratified reservoirs. In particular, sidewall and bottom point-sink withdrawal are two geometries that have been extensively investigated. The descriptions developed by most investigators were expressions that reduced to the densimetric Froude number. It is troublesome, however, that the critical Froude numbers in these mathematical descriptions at similar flow conditions vary so greatly. In an effort to reduce the variance in these expressions, the authors use the concepts of 'withdrawal angle' and symmetry to incorporate the effects of lateral geometry or topography into the critical Froude number description. The authors' development of this relationship greatly simplifies the array of coefficients that is reported in the literature for various outlet configurations and patterns of density stratification. The relationship was developed through analytical evaluation of existing expressions and subsequent laboratory experimental verification. Observed prototype conditions, comparing favorably with predictions made with this technique, further verified its credibility. The authors explicitly included in the development of this more generalized description of withdrawal the effects of arbitrary boundary interference. For linear stratification, the developed relationship is descriptive of intermediate withdrawal and withdrawal with arbitrary interference and reduces to the analytical description of bottom or surface withdrawal. Results of experiments verified the applicability of this relationship for all three potential withdrawal conditions (i.e., intermediate, surface or bottom, and arbitrary interference).
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1987
- Accession Number
- ADA182515
Entities
People
- Dennis R. Smith
- Jeffery P. Holland
- Mark S. Dortch
- Steven C. Wilhelms