Hydraulic Radius of a Triangular Channel

on . Posted in Fluid Dynamics

hydraulic radius of a triangleHydraulic radius, abbreviated as \(r_h\), is the area cross-section of water in a pipe or channel divided by the wetting perimeter.  The hydraulic radius (R) of an open channel, including a triangular channel, is a measure of the channel's efficiency in conveying flow.  It is defined as the cross-sectional area of flow divided by the wetted perimeter.

 

Hydraulic Radius of a Triangular Channel formula

\( r_h =  A_c \;/\; P_w  \)     (Hydraulic Radius of a Triangular Channel)

\( A_c =  r_h \; P_w   \)

\( P_w =  A_c \;/\; r_h  \)

Symbol English Metric
\( r_h \) = hydraulic radius \(ft\) \(m\)
\( A_c \) = area cross-section of flow \(ft^2\) \(m^2\)
\( P_w \) = wetting perimeter \(ft\) \(m\)

        

Hydraulic Radius of a Triangular Channel formula

\( r_h =   z\;h^2 \;/\; 2\;h \; \sqrt{1 + z^2 } \) 
Symbol English Metric
\( r_h \) = hydraulic radius \(ft\) \(m\)
\( z \) = width of channel slope \(ft\) \(m\)
\( h \) = depth of fluid \(ft\) \(m\)

 

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Tags: Hydraulic Open Channel