manning’s equation

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Manning’s Equation CE EN 270 – BRIGHAM YOUNG UNIVERSITY

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CE EN 270 – BRIGHAM YOUNG UNIVERSITY. Manning’s Equation. Open Channel Flow. Open Channel Flow. Manning’s Equation. Q = Flow rate u = 1.0 (metric) or 1.49 (English) n = Manning friction factor concrete0.020 earth 0.022 streams 0.045 pipe 0.013. A = Cross-sectional area of flow - PowerPoint PPT Presentation

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Page 1: Manning’s Equation

Manning’s EquationCE EN 270 – BRIGHAM YOUNG UNIVERSITY

Page 2: Manning’s Equation

Open Channel Flow

Page 3: Manning’s Equation

Open Channel Flow

Page 4: Manning’s Equation

Manning’s Equation

2/1o

3/2h SAR

nuQ

Q = Flow rateu = 1.0 (metric) or 1.49 (English)n = Manning friction factor

concrete0.020earth 0.022streams 0.045pipe 0.013

A = Cross-sectional area of flowRh = Hydraulic radius = A/Pw

Pw = Wetted PerimeterSo = Slope of channel bottom

Page 5: Manning’s Equation

Trapezoidal Channel

b

yPw z

1A

zyybA 22

w z1y2bP

Page 6: Manning’s Equation

Rectangular Channel

b

yPw A

ybA

y2bPw

Page 7: Manning’s Equation

Circular Channel

2Dsin81A

D21Pw

ryrsin2 1

rrysin2 1

If y<r:

If y≥r:

b

q rh

yD

Pw