cee4324-5984_lecture5

cee4324-5984_lecture5 - Glenn E. Moglen Department of Civil...

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Unformatted text preview: Glenn E. Moglen Department of Civil & Environmental Engineering Virginia Tech Specific Energy: Steps and Constrictions CEE 4324/5984 Open Channel Flow Lecture 5 Questions? Brief Review of Examples 4 & 5 Example 6: Step Problem supercritical flow Example 7: Step Problem supercritical flow Example 7: Negative Step problem Example 8: A step as a choke Example 9: A constriction (sub-critical) Example 10: A constriction (super-critical) Todays Agenda Critical Depth Equations - REVIEW Critical depth in a rectangular channel: Critical energy in a rectangular channel: Definition of Froude number in a rectangular channel: 3 / 1 2 = g q y c c c y E 5 . 1 = gy v F r = Sluice Gate Animation 1 2 3 4 5 6 7 1 2 3 4 5 6 7 E (ft) y (ft) Example 4 (cont): E-y diagram for choke q = 8.51 ft 2 /s q = 10.0 ft 2 /s y 1 = 4.94 ft y 2 = 0.59 ft E = 5.00 ft E = 6.71 ft y 2 = 0.50 ft y 2 = 0.50 ft y 1 = 6.68 ft 1 2 3 4 5 6 1 2 3 4 5 6 E (ft) y (ft) Example 5 (cont): Upstream and Downstream depths for an upward step q = 10.0 ft 2 /s y 1 = 4.94 ft y 2 = 3.90 ft z = 1.0 ft Example 6: Step Problem (super- critical flow upstream of step) Settings: q...
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cee4324-5984_lecture5 - Glenn E. Moglen Department of Civil...

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