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Unique laminar-flow stability limit based shallow-water theory

Journal of Hydraulic Engineering

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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.

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
Number of Pages:
14