Unique laminar-flow stability limit based shallow-water theory
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.
Citation Information
Publication Year | 1993 |
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Title | Unique laminar-flow stability limit based shallow-water theory |
Authors | Cheng-lung Chen |
Publication Type | Article |
Publication Subtype | Journal Article |
Series Title | Journal of Hydraulic Engineering |
Index ID | 70018389 |
Record Source | USGS Publications Warehouse |