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Wetting Perimeter of a Triangle Channel

 

Wetting Perimeter of a Triangle Channel Formula

\( P_w \;=\;   (2 \cdot h) \cdot  ( 1 + z^2 )^\frac{1}{2}   \)    
Symbol English Metric
\( P_w \) = Wetting Perimeter \( ft \) \( m \)
\( h \) = Fluid Depth \( ft \) \( m \)
\( z \) = Horizontal Side Slope \( ft \) \( m \)

hydraulic radius of a triangle 2For a triangular open channel, the wetted perimeter is the sum of the lengths of the two sloping sides that are in contact with the flowing fluid.  Unlike rectangular or trapezoidal channels, a triangular channel does not have a flat bottom in contact with the water; instead, the bottom is a single point where the two sloping sides meet.  Each sloping side forms the hypotenuse of a right angled triangle, with a vertical side and a horizontal side.  This value is used for hydraulic calculations, particularly in determining the hydraulic radius, which is the ratio of the flow's cross-sectional area to the wetted perimeter.  The hydraulic radius is then used in formulas like Manning's equation to predict flow velocity and discharge within the channel.

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