## Abstract The bottom width of channels carrying spatially varied flow with increasing discharge is usually flared in the flow direction. This produces a nonβprismatic section. This paper, based on the law of linear momentum conservation, presents a new form of the governing dynamic equation for f
Modeling Orthokinetic Coagulation in Spatially Varying Laminar Flow
β Scribed by Timothy A. Kramer; Mark M. Clark
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 196 KB
- Volume
- 227
- Category
- Article
- ISSN
- 0021-9797
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β¦ Synopsis
An orthokinetic coagulation model including the effects of agglomeration and local stress-induced aggregate breakup was developed. This model was used to simulate coagulation in the flow between two eccentrically located and rotating cylinders. Four methods of modeling coagulation in the flow system were examined. The first technique used a volume-weighted average of the local strain rates, while a second method used an equivalent volumeweighted power ( αΈ ). A third method treated each volume element as a separate batch reactor and determined a final volume-averaged floc population. The final modeling technique applied mass transfer between each of the elements. Results indicated that substantial differences in average particle diameters and populations were generated with each of the methods, especially where mass transfer between the elements was considered. It was concluded that mass transfer between regions of varying flow strain rate and/or velocity gradient should be included in accurate coagulation modeling.
π SIMILAR VOLUMES
## Abstract A new governing equation was proposed for the spatially varied flows with increasing discharge, which affects the position and the depth of the control section as well as the entire water surface profile within the channel. This paper presents the use of the NewtonβRaphson method in the