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cee4324-5984_lecture3

cee4324-5984_lecture3 - CEE 4324/5984 Open Channel Flow...

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Glenn E. Moglen Department of Civil & Environmental Engineering Virginia Tech Specific Energy: Critical Flow and Sluice Gates CEE 4324/5984 –Open Channel Flow – Lecture 3
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Questions Example 1: One energy, two depths - Review Example 2: Minimum energy (critical depth) Example 3: Sluice Gate (conservation of E ) Example 4: Sluice Gate (concept of choke) Example 5: Step Problem – subcritical flow Example 6: Step Problem – supercritical flow Today’s Agenda
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Example 1: Let Q = 10 ft 3 /s, w = 1 foot So q = 10/1 = 10 ft 2 /s We could let y vary over a range of values (say 0.4 feet to 10 feet). The resulting relationship between E and y looks like: y gy q E + = 2 2 2
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Example 1(cont.): 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 E (feet) y (feet) This is the E-y or specific energy diagram
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Example 1(cont.): Consider E =5 feet 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 E (feet) y (feet)
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Example 1(cont.): How can there be two depths that possess the same energy? E is sum of kinetic and energy sources. One depth has high kinetic, low potential energy One depth has high potential, low kinetic energy Which is which? How do we find these two depths?
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Example 1 (cont): Take-away facts There are 2 depths (called “alternate depths”) which have the same energy for a given discharge.
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