cee4324-5984_lecture14

cee4324-5984_lecture14 - CEE 4324/5984 Open Channel Flow...

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Glenn E. Moglen Department of Civil & Environmental Engineering Virginia Tech E-y and M-y duality and Begin Flow Resistance CEE 4324/5984 –Open Channel Flow – Lecture 14
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Questions from Lecture 13? Comment on File Availability E-y and M-y duality Please read Chaudhry: 4-1 – 4-3 Flow Resistance Definition Sketch Uniform vs. Non-Uniform flow Shear Stress in an open channel Flow resistance equations Chézy Equation Manning Equation Normal Depth Today’s Agenda:
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Where to find hydraulic jump charts for trapezoidal and circular cross-sections: Where to find hydraulic jump charts for trapezoidal and circular cross-sections: Charts downloaded from here… … or at Scholar under Resources: Useful Files
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An interesting dimensionless consequence – dimensionless E 2 2 2 gy q y E + = Divide through by y c . Let y’=y/y c , and E’ = E/ y c . Note that q 2 =gy c 3 so: 2 ' 2 1 ' ' y y E + =
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2 2 2 y gy q M + = Divide through by y c 2 . Let y’=y/y c , and M’ = M/ y c 2 . Note that q 2 =gy c 3 so: 2 ' ' 1 ' 2 y y M + = An interesting dimensionless consequence – dimensionless M
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Let y’’= 1 /y’=y c /y . Then, the M’ relationship can be re-written: So E’ is the same function of y’ as M’ is of y’’ . What does this mean? 2
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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_lecture14 - CEE 4324/5984 Open Channel Flow...

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