### Pipe Launder Slope Determination

Determination of slope required to pass a given fluid velocity through a pipe launder of a given geometry

This geometry dictates a θ angle of 4.0 radians, 230.8°.

and a half-top (b) dimension of 0.40 metres, 15.81"

Hydraulic radius (Rh) of this geometry is 0.265 metres; 10.4"

Flow (Q) that will pass this launder is 6831.0 m

^{3}/h, 30076.9 usgpm

**Slope of this launder to achieve desired velocity is 1.6%, 0.91°.**

**Calculation Backup:**
Slope = ( n × V × Rh^{(-2/3)} ) ^{2}

where Slope is height/length, V is m/s and Rh is in metres.

The Manning Equation used here is a commonly civil engineering formula
for culverts and canal design. More on Manning equation and its
parameters

here.

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