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cee4324-5984_lecture11

# cee4324-5984_lecture11 - CEE 4324/5984 Open Channel Flow...

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Glenn E. Moglen Department of Civil & Environmental Engineering Virginia Tech Momentum (continued) CEE 4324/5984 –Open Channel Flow – Lecture 11

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Questions from Lecture 10? Brief Comments on Exam 1 Begin Momentum Static and Dynamic Forces Derive Rectangular Momentum Function Contrast Momentum vs. Energy Hydraulic Jump Derivation Conjugate Depths in a Rectangular Channel Return to Sluice Gate/Hydraulic Jump Today’s Agenda:
Contrast Energy vs. Momentum Energy Momentum y gy q E + = 2 2 2 2 2 2 y gy q M + =

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Contrast Energy vs. Momentum
Momentum/Hydraulic Jumps in a Rectangular Channel Momentum From which we derived (for a rectangular channel): 2 2 2 y gy q M + = ( 29 1 8 1 2 1 2 1 1 2 - + = Fr y y

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Let’s look at a few different hydraulic jumps…
Example 16: Conjugate Depths in a Rectangular Channel q = 10 ft 2 /s y 1 = 0.24 feet Find: y 2 ? Show that M 1 and M 2 are the same value for y 1 and y 2 .

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