cee4324-5984_lecture9

cee4324-5984_lecture9 - CEE 4324/5984 Open Channel Flow...

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Glenn E. Moglen Department of Civil & Environmental Engineering Virginia Tech Review/Prepare for Exam 1 & Start Momentum CEE 4324/5984 –Open Channel Flow – Lecture 9
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Questions from Lecture 8? Review/Prepare for 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:
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Example 14: Using Figures 2-15 and 2-16 Setting: A lake discharges at a trapezoidal channel outfall, b = 5 feet, m = 2.0. Outfall is at head of a steep slope. Surface elevation of the lake relative to the outfall is 2.0 feet. Find the discharge, Q. << to be derived on whiteboard >>
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Which Figure? Figure 2-15 or 2-16? Step 1 is ALWAYS to first determine if the given information points to known critical depth (Figure 2-15) or critical energy (Figure 2-16). For this problem, which is it?
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8 . 0 5 2 2 = = b mE c 6 . 0 = Z 2 3 2 m gb Zb Q = 2 3 2 2 ) 5 ( 2 . 32 ) 5 )( 6 . 0 ( = Q s ft 67 3 = Q
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Solving Example 14 w/o Figure 2-16 Re-arrange Specific Energy equation, solving for Q : Note that A is f ( y ) Build spreadsheet with trial y values, A ( y ) , and resultant Q (from above eq’n) Choose maximum resultant Q ( 29 ) 2 ( 2 gA y E Q c - =
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Solving Example 14 w/o Figure 2-16 Maximum
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This note was uploaded on 12/24/2011 for the course CEE 4324 taught by Professor Moglen during the Fall '11 term at Virginia Tech.

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cee4324-5984_lecture9 - CEE 4324/5984 Open Channel Flow...

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