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Wetted perimeter

From Wikipedia, the free encyclopedia
Perimeter of a cross sectional area that is wet
Cross sectional area of a trapezoidal open channel, red highlights wetted perimeter
Change of wetted perimeter (blue) of trapezoidal canal as a function of angleψ.

Thewetted perimeter is the perimeter of the cross sectional area that is "wet".[1] The length of line of the intersection of channel wetted surface with a cross sectional plane normal to the flow direction. The term wetted perimeter is common incivil engineering,environmental engineering,hydrology,geomorphology, andheat transfer applications; it is associated with thehydraulic diameter orhydraulic radius. Engineers commonly cite the cross sectional area of a river.

The wetted perimeter can be defined mathematically as

P=i=0li{\displaystyle P=\sum _{i=0}^{\infty }{l_{i}}}

whereli is the length of each surface in contact with the aqueous body.

Inopen channel flow, the wetted perimeter is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.Friction losses typically increase with an increasing wetted perimeter, resulting in a decrease inhead.[1] In a practical experiment, one is able to measure the wetted perimeter with a tape measure weighted down to the river bed to get a more accuratemeasurement.

When a channel is much wider than it is deep, the wetted perimeter approximates the channel width.[1]

See also

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References

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  1. ^abcKnighton, David (1998).Fluvial forms and processes: a new perspective (2nd ed.). Routledge.ISBN 978-0340663134.
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