Unique laminar-flow stability limit based shallow-water theory

Journal of Hydraulic Engineering


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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.

Additional publication details

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