Unique laminar-flow stability limit based shallow-water theory
Journal of Hydraulic Engineering
By: Cheng-lung Chen
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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.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Unique laminar-flow stability limit based shallow-water theory |
| Series title | Journal of Hydraulic Engineering |
| Volume | 119 |
| Issue | 7 |
| Year Published | 1993 |
| Language | English |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Journal of Hydraulic Engineering |
| First page | 816 |
| Last page | 829 |
| Google Analytic Metrics | Metrics page |