| Abstract: | Two approaches are generally taken in deriving the stability limit for the Froude member (Fs) for laminar sheet flow. The first approach used the Orr-Sommerfeld equation, while the second uses the cross-section-averaged equations of continuity and motion. Because both approaches are based on shallow-water theory, the values of Fs obtained from both approaches should be identical, yet in the literature they are not. This suggests that a defect exists in at least one of the two approaches. After examining the governing equations used in both approaches, one finds that the existing cross-section -averaged equation of motion is dependent on the frame of reference. |
| Genre: | Article |
| ProdID: | 70018389 |
| Citation Author: | Chen, Cheng-lung |
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| Citation End Page: | 829 |
| Citation Issue: | 7 |
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| Citation Language: | English |
| Citation Larger Work Title: | Journal of Hydraulic Engineering |
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| Citation Number Of Pages: | 14 |
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| Citation Search Results Text: | Unique laminar-flow stability limit based shallow-water theory; 1993; Article; Journal; Journal of Hydraulic Engineering; Chen, Cheng-lung |
| Citation Start Page: | 816 |
| Citation Volume: | 119 |
| Citation Year: | 1993 |
| Type: | citation/reference |
| Text: | Unique laminar-flow stability limit based shallow-water theory; 1993; Article; Journal; Journal of Hydraulic Engineering; Chen, Cheng-lung |
| URL (THUMBNAIL): | http://pubs.er.usgs.gov/thumbnails/outside_thumb.jpg |
| Date Other: | Fri, 1 Jan 1993 00:00 -0600 |
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