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fundamentals of engineering supplied-reference handbook - Ventech!

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Open-Channel Flow<br />

Specific Energy<br />

2<br />

V αQ<br />

E = α + y = + y , where<br />

2<br />

2g<br />

2gA<br />

2<br />

HYDRAULIC-ELEMENTS GRAPH FOR CIRCULAR SEWERS<br />

E = specific energy,<br />

Q = discharge,<br />

V = velocity,<br />

y = depth <strong>of</strong> flow,<br />

A = cross-sectional area <strong>of</strong> flow, and<br />

α = kinetic energy correction factor, usually 1.0.<br />

Critical Depth = that depth in a channel at minimum<br />

specific energy<br />

2<br />

Q<br />

g<br />

3<br />

A<br />

=<br />

T<br />

where Q and A are as defined above,<br />

g = acceleration due to gravity, and<br />

T = width <strong>of</strong> the water surface.<br />

136<br />

For rectangular channels<br />

y c<br />

⎛ 2<br />

q ⎞<br />

= ⎜ ⎟<br />

⎜ ⎟<br />

⎝ g ⎠<br />

1 3<br />

yc = critical depth,<br />

, where<br />

q = unit discharge = Q/B,<br />

B = channel width, and<br />

g = acceleration due to gravity.<br />

CIVIL ENGINEERING (continued)<br />

Froude Number = ratio <strong>of</strong> inertial forces to gravity forces<br />

V<br />

F = , where<br />

gy<br />

V = velocity, and<br />

yh = hydraulic depth = A/T<br />

h

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