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advanced drainage system - Polypipe

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General Hydraulic Design 3.3<br />

Velocities and flow rates for thermoplastic structured walled pipes can be calculated using either the Manning or<br />

Colebrook-White equations. The Colebrook-White equation forms the basis of this guide as it has been shown to<br />

provide accurate results for a wide range of flow conditions and is the method commonly used in the UK.<br />

For circular pipes flowing full, the Colebrook-White equation may be expressed as:<br />

⎧ ks<br />

n = -2√(2gSfD)log10 x + 2.51v ⎫<br />

⎪<br />

⎪<br />

⎩3.7D<br />

D√(2gSfD) ⎭<br />

Where: n = Mean water velocity<br />

g<br />

= Gravity<br />

Sf = Hydraulic gradient, (hf / L)<br />

D<br />

ks<br />

V<br />

= Internal pipe diameter<br />

= Pipe roughness<br />

= Kinematic viscosity<br />

An alternative approach is required when utilising the Colebrook-White equation to determine either the pipe diameter<br />

or hydraulic gradient variables.<br />

Hydraulic gradient (S f)<br />

Hydraulic gradient is governed by the pipe slope.<br />

Pipe roughness (k s)<br />

A mean measurement of the height that surface roughness projects from the pipe wall. Measured in terms of an<br />

equivalent sand roughness.<br />

Sewer type and age will influence the choice of pipe roughness. Except for calculating initial flow conditions,<br />

consideration should also be given to environmental factors, such as sediment and biological slime deposits.<br />

Typical values of roughness (Ks), for use in the Colebrook-White equation, are given in table 3.3.1<br />

58

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