Water flows along the triangular channel having the cross section shown. If the average velocity is 3 m/s, determine the volumetric discharge. A fluid flowing between two plates has a velocity profile...

Water flows along the triangular channel having the cross section shown. If the average velocity is 3 m/s, determine the volumetric discharge.

A fluid flowing between two plates has a velocity profile that is assumed to be parabolic, where
. Determine the average velocity and volumetric discharge in terms of u_max. The plates have a width of w.