(Solved):   An artificial open channel is to be designed as a trapezoidal cross-section as shown belo ...

 

An artificial open channel is to be designed as a trapezoidal cross-section as shown below. The hydraulics engineer is given that the channel width (b) must not be greater than \( 2.5 \) times the height ( \( h \) ) of water. The slide slopes are in the ratio of \( 1 \mathrm{H}: 2 \mathrm{~V} \). It is also known that the total wetted perimeter must not be greater than \( 18 \mathrm{~m} \). Calculate the dimensions ( \( b \) and \( h \) ) of the channel that satisfy the design constraints. Then, calculate the hydraulic radius of the channel. Ans: \( h=3.8 \mathrm{~m}, \mathrm{~b}=9.5 \mathrm{~m} \)