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cee4324-5984_lecture7

cee4324-5984_lecture7 - CEE 4324/5984 Open Channel Flow...

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Glenn E. Moglen Department of Civil & Environmental Engineering Virginia Tech Specific Energy: Occurrence of Critical Flow & Non-Rectangular Channels CEE 4324/5984 –Open Channel Flow – Lecture 7
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Questions? Brief Review of Example 13 Occurrence of Critical Flow Begin Non-Rectangular Cross-Sections Today’s Agenda
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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 =
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Example 13: Simultaneous step and constriction Settings: Q = 100. ft 3 /s Incoming flow depth is y 1 =4.94 feet ( E =5.0 feet) Upward step z =1.0 foot Constriction: w 1 = 10 feet, w 2 = 8 feet Find E 2 , y 2 , Fr 2 Interpret on E-y diagram << to be derived on whiteboard >>
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0 1 2 3 4 5 6 0 1 2 3 4 5 6 E (ft) y (ft) Example 13 (cont): E-y interpretation q = 10.0 ft 2 /s 3.8 3.85 3.9 3.95 4 4.05 4.1 4.15 4.2 3.8 3.85 3.9 3.95 4 4.05 4.1 4.15 4.2 E (ft) y (ft) z = 1.0 ft q = 12.5 ft 2 /s
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Example 13 (cont): Take-away facts Problem is just a simple composite
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