cee4324-5984_lecture6

cee4324-5984_lecture6 - 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: Constrictions & Begin Non-Rectangular Channels CEE 4324/5984 Open Channel Flow Lecture 6 Questions? Brief Review of Example 8 Example 9: A constriction (sub-critical) Example 10: A constriction (super-critical) Example 11: A negative constriction Example 12: Maximum constriction Example 13: Simultaneous step and constriction Begin Irregular Cross-Sections 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 = Example 8: Maximum step a step as a choke (sub-critical upstream) Settings: q = 10.0 ft 2 /s Incoming flow depth is y 1 =4.94 feet ( E =5.0 feet) What is the biggest step possible with flow as specified? What if step is bigger than that? << to be derived on whiteboard >> 1 2 3 4 5 6 1 2 3 4 5 6 E (ft) y (ft) Example 8 (cont): Maximum step size q = 10.0 ft 2 /s y 1 = 0.59 ft y 2 = y c = 1.46 ft z max = E 1- E c Example 8 (cont): Take-away facts Biggest step corresponds to step that brings flow to the brink of critical conditions....
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cee4324-5984_lecture6 - Glenn E. Moglen Department of Civil...

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